Ram invests a sum of 8 lacs in two different businesses partly. In first business, he receives a profit of 3.5 lacs and in second business, he obtains a loss of 16 %. In overall business he obtains a profit of 40 %. The ratio of investments in first and second business is

M4maths Previous Puzzles

23 Jul 2014 Profit and Loss Ram invests a sum of 8 lacs in two different businesses partly. In first business, he receives a profit of 3.5 lacs and in second business, he obtains a loss of 16 %. In overall business he obtains a profit of 40 %. The ratio of investments in first and second business is: OPtion
1) 44/5
2) 45/8
3) 42/3
4) 36/5
5) 40/3
6) 48/25
7) 49/15
8) 35/16
9) 1/2
10)None of these; Correct Option: 7 Best Solution (71)

shabih abbas 10 years AGO

investment + profit in 1st place= x+3.5
overall amount after profit= 8+.4*8=11.2
so, (x+3.5)+(8-x) - 0.16*(8-x)=11.2
so, x=49/8
investment in other place =8-49/8=15/8
so ratio=49/15

Like? Yes (36) | No (11)

Sundar Kumar 10 years AGO

Let the amount invested in first business be $100X

THEN, the amount invested in second business WILL BE $ ( 8,00,000 - 100X )

3,50,000 - .16 ( 800,000 - 100X ) = 0.40* 8,00,000

350,000 - 128000 +16X = 320,000

16X = 98000

X = 6125

First business = $6,12,500
Second = $ 187500

Ratio = 612500/ 187500 = 6125/1875 = 245/ 75 = 49/15

ANSWER : option 7) 49/15

Like? Yes (5) | No (3)

sompon temtheerakij 10 years AGO

overall profit = 8 x 0.4 = 3.2 lacs
2nd bussiness loss = 3.5-3.2 = 0.3 lacs
2nd bussiness invest = 0.3x100/16 = 15/8 lacs
1st bussiness invest = 8-15/8 = 49/8
The ratio of investments = 49/8 : 15/8 = 49/15

Like? Yes (1) | No

Hari Nani 10 years AGO

((8-x )/8) ×100=40
3.5-x=loss
(loss/y)×100=16
(8-y)/y=ratio

Like? Yes (1) | No

ANKIT KUMAR 10 years AGO

overall profit i.e 40% of total investment =320000
profit of 1st-loss on 2nd=320000
investment in 1st=x
investment in2nd=800000-x
so, 350000-(800000-x)*16/100=320000
we get, the value of x=9800000/16
other value=300000/16
therefore, ratio=9800000/3000000
ans=49/15

Like? Yes (1) | No

Sagar Dey 10 years AGO

40% of 8lacs=3.5 lacs.
so loss in 2nd investment=3.5-3.2=.3
16% loss=.3 so 2nd investment=.3*100/16=15/8
1st investment=8-15/8=49/8
s0 the ratio is=49/15

Like? Yes (1) | No

Kapil Shirsath 10 years AGO

1st investment=6.125lacs
2nd investment=1.875lacs

Like? Yes (1) | No

piyush ranjan behera 10 years AGO

40% of 8 lac = 3,20,000
in 1 half profit is 3.5 lac

so loss in second part= 3.5lac -3.2 lac= 30,000
30,000 is 16 %loss then second part investment is 1,87,500.

so ratio of two invest ment 6,12,500/1,87,500 = 49/15

Like? Yes (2) | No (3)

sundeep gullapudi 10 years AGO

two business are started with the amount of 8 lacs
x+y = 8 lacs
=>in first business there's a profit of 3 .5 lacs
=>in second business there's a loss of 16% means 0.16y rupees loss
in overall 40% profit is there means 0.4*8 lacs profit == 3.2

which is
3.5 - 0.16y = 3.2
y = 15/8
we know that x+y = 8
x = 8 - 15/8
x = 49/8
there fore ratio is x:y == 49:15

Like? Yes (3) | No (4)

MANU 10 years AGO

x+.84y=770000
x+y=800000
solving we get
x/y=49/15

Like? Yes (3) | No (5)

Tripti Komal 10 years AGO

x+y=800000
(x+350000)+(y-y*16/100)=800000+800000*40/100
Solve for x & y,we get
x=612500
y=187500
then x/y=49/15

Like? Yes (1) | No (3)

Ritika 10 years AGO

Let x be 1st business investment
Then 2nd=8-x
Now,350-16(8-x)=320
x=49/8 8-x=15/8
So,ratio=49/15

Like? Yes (1) | No (3)

vadthyavath 10 years AGO

x+y=8
x+3.5+y-0.16y=8+3.2
0.3=0.16y
y=30/16
x+30/16=8
x=98/16
x/y=49/15

Like? Yes (1) | No (3)

ANKUR ANAND 10 years AGO

3.5-(8-x)*0.16=8*0.4
solve for x
x=6.125 lac
(8-x)=1.875
required ratio=6.125/1.875=49/15

Like? Yes (1) | No (3)

dheeraj 10 years AGO

total profit=40*800000/100=3,20,000

his loss in 2nd investment is=3,50,000-3,20,000=30,000

suppose he invested x amount in first business
and 8,00,000-x in 2nd business

2
30.000=16*(8,00,000-x)/100
by solving ,x=6,12,500
2nd business investment=8,00,000-6,12,500=1,87,500
their ratio of investment=6,12,500/1,87,500=49/15

Like? Yes (1) | No (3)

Vignesh 10 years AGO

total 8 lacs are divided are two parts /business

let x , y be there investment
x profit = 3.5 lacs
y loss = 0.16y
total gain = .4*8 lacs

3.5 -.16y = .4*8

y = 15/8

x:y = 49/15

Like? Yes (1) | No (3)

Harshad 10 years AGO

overall 40% profit means 320000 profit on 800000
Ram receives 350000 profit on 1st investment,
So, in second investment loss is 30000
on 2nd investment he obtains a loss of 16%
So,2nd investment is (30000*100)/16=187500
And 1st investment is 800000-187500=612500
Investment Ratio is 612500/187500=49/15

Like? Yes (1) | No (3)

HARDIP BHALANI 10 years AGO

Like? Yes (1) | No (3)

Pankaj Yogi 10 years AGO

Let assume that x(say) amount of money is invested on second business, hence we get (8-x) amount invested in first business. To obtain ratio first:second we need to find x and put in (8-x):x.
To find x, we generate the following equation: simple profit/loss idea is implemented
(8-x+3.5(profit)) + (x*(100-16(loss))/100) = 8 * (100+ 40(ovrl profit))/100
after solving, we get x = 3/1.6
substitute in ratio we get (8-x):x = 9.8:3 = 98:30 = 49:15

Like? Yes (1) | No (3)

gouthamdaneti 10 years AGO

(x/8)×100=40
3.5-x=loss
(loss/y)×100=16
(8-y)/y=49/15

Like? Yes (1) | No (3)

avinash 10 years AGO

let x,y are investments....x+y= lac
total profit 40%=3.2 lac

=>x+3.2+0.84y=8+3.2
=>x/y=49/15

Like? Yes (1) | No (3)

MURALIDHARAN 10 years AGO

over all profit= profit1 + loss 2
40%of 8=3.5+ loss
3.2=3.5+loss
loss=0.3
16%of investment 2 =.3
investment 2=30/16
investment 1= 98/16

ratio=49/15

Like? Yes (1) | No (3)

vishal 10 years AGO

x+y=8 ---> (1)

(x+3.5) +.84y=11.3 --->(2)

solving we get
x=6.125
y=1.875
x/y=49/15

Like? Yes (1) | No (3)

AMIT KUMAR ANAL 10 years AGO

Let investment in first bussiness be x
Total profit=8*.4=3.2
Therefore, 8-x *.16=.3
Ratio=x/(8-x)=49/15

Like? Yes (1) | No (3)

Sneha Goel 10 years AGO

3.5lac-.16x=.4*8lac
solving, x=187500
and othr part= 612500
hence, ratio=49/15

Like? Yes (1) | No (3)

Kaustubh karekar 10 years AGO

3.5 lacs + 16% of x = 40% of 8 lacs
where x is amount invested in second business
by solving this we get x= 187500
so first company investment is 8 lacs - 187500 = 612500

dividing them we get 49/15

Like? Yes (2) | No (4)

swarupa nuggu 10 years AGO

49/15

Like? Yes (1) | No (3)

srivatsa s 10 years AGO

3.5L+16%ofx=40%of8L
x=15/8
8-x=49/8
so,
8-x/x=49/15

Like? Yes (1) | No (3)

RANDHIR KUMAR 10 years AGO

ist investemnt is 612500,and 2nd is 187500 so ratio is 49/15

Like? Yes (1) | No (3)

Rammohana rao Balaga 10 years AGO

let one part be X, then
(X+3.5) + (8-x) - [(8-x)*16/100] = 8 + 8*40/100 (total profits)

by solving this==> X=49/8 lakshs.
then other part==> 8-49/8 = 15/8 lakshs.
then their ration is ==> (49/8) / (15/8) = 49/15

Like? Yes (1) | No (3)

Satishbabu 10 years AGO

Let a,b be the sums invested in both the businesses,
so a+b=8, We know total profit %=40%,
=> 3.2 lacks is the profit for 8 lacks,
profit in 1st business =3.5 lacks, loss in 2nd business
=3.5-3.2=0.3 lacks, => b=1.875 lacks invested in second business and 6.125 lacks is invested in 1st business, Therefore ratio becomes 6.125/1.875=49/15,
Therefore option(7)

Like? Yes (1) | No (3)

DILEEP KUMAR 10 years AGO

x+y=8
x+3.5+.84*y = 1.40*8
x/y=49/15

Like? Yes (1) | No (3)

Gautam Anand 10 years AGO

total profit=320000
loss=350000-320000=30000
30000=16% of x
x=187500
first sum= 800000-187500=612500
so the ratio of the sums= 612500:187500=49:15

Like? Yes (1) | No (3)

Tark Patel 10 years AGO

Let the amount invested in first business be X

THEN, the amount invested in second business WILL BE ( 8,00,000 - X )

3,50,000 - (0.16 ( 800,000 - X )) = 0.40 * 8,00,000

350,000 - 128000 + 0.16X = 320,000

X = 612500

First business = 6,12,500
Second = 187500

Ratio = 612500/ 187500 = 6125/1875 = 245/ 75 = 49/15 ANSWER is 49/15.

Like? Yes (2) | No (4)

Pranay Sahith 10 years AGO

profit= 40%=(40/8L)*100=3.2L.
loss=3.5L-3.2L=0.3L.
16% of x=0.3L=> x=1,87,500.
ratio = (8L-1,87,500)/1,87,500.
=>ratio=49/15.

Like? Yes (1) | No (3)

Mohit Aggarwal 10 years AGO

let one amount be x and other is (8-x)
let profit on x be 3.5 lakh so the loss on (8-x) will be 16%.
16% on (8-x) means 0.84(8-x).
now the equation will be
x+3.5+(8-x)0.84 = 8*1.4
after solving, x=6.125
and (8-x)=1.875

so,ratio=6.125/1.875 = 49/15

Like? Yes (1) | No (3)

Yamuna Muthusamy 10 years AGO

Ram invests x lacs in business1 and 8 - x lacs in business 2
3.5 - 0.16(8 - x) = 0.4(8)
3.5 - 1.28 + 0.16x = 3.2
0.16x = 0.98
x = 6.125
Business 1/business 2 = 6.125/1.875 = 49/15
ans: 49/15

Like? Yes (1) | No (3)

Inderjeet Singh 10 years AGO

total profit 40% on 8 lakh = 3,20,000
total profit on first bussiness = 3,50,000
hence loss = 30,000 on second business
16% on money on second bussiness = 30,000
hence money invested on second business = 1,87,500
hence money on second bussiness = 8,00,000-,87,500=6,12,500

ratio = 6,12,500/1,87,500 = 49/15

7th opt is answer i.e. 49/15

Like? Yes (2) | No (4)

Priya Verma 10 years AGO

let one part =x then other=800000-x
350000=sp-x-----(1)
sp=(84*(800000-x))/100-----(2)
total sp=((100+profit%)*total invest)/100
350000+x+(84*(800000-x))/100=(140*800000)/100
x=612500
one part : other part=x : (800000-x)
=612500 : 187500
=49:15

Like? Yes (1) | No (3)

KRISHNA CHANDRA UPADHYAY 10 years AGO

Let the amount invested in first business be 100X

THEN, the amount invested in second business WILL BE ( 8,00,000 - 100X )

3,50,000 - .16 ( 800,000 - 100X ) = 0.40* 8,00,000

350,000 - 128000 +16X = 320,000

16X = 98000

X = 6125

First business = 6,12,500
Second = 187500

Ratio = 612500/ 187500 = 6125/1875 = 245/ 75 = 49/15

Like? Yes (2) | No (4)

Brijesh Rawat 10 years AGO

total profit= 40% of 8 lacs=3.2 lacs
profit from first business=3.5 lacs
loss in the 2nd business=0.3 lacs

now 16% of invest=0.3 lacs
hence 100% of invest= 1.875 lacs
invest in 1st business=6.125 lacs
ratio= 6.125/1.875=49/15

Like? Yes (1) | No (3)

Shashi nath jha 10 years AGO

profit from 1st is =3.5.
so,eqution is 7/2-(8-x)*16/100=16/5.
x=49/8.
ans is.49/15..

Like? Yes (1) | No (3)

Dr.Dipin Singh 10 years AGO

If x is second part, then
x*0.16= (3.5-8*0.4)= 0.3
x= 30/16= 15/8 lacs
First part = 8-15/8= 49/8
The ratio of investments in first and second business is 49/8:15/8 = 49/15

Like? Yes (2) | No (5)

krishna kanth 10 years AGO

overall investment is 8 lacs
overall profit is 40%
i.e. he gets total amount of 8 lac*1.4=11,20,000
net profit amount is 3,20,00 (3.2 lac)
first business he got 3.5 lac profit
i.e. in second business he got a loss of 3.5 lac -3.2 lac=.3lac
=30,000
he given that 0.3 lac as 16%()loss
0.3 lac=16%
x = 100%
x=15/8 lac
i.e he invested 15/8(1.875) lac in second busines
remaining 8-(15/8)=49/8 (6.125 lac) in first business
ratio is 49/8:15/8=49/15

Like? Yes (1) | No (4)

MRITUNJAY KUMAR 10 years AGO

let x and 8-x be the money invested in two buisness respesctively.
-0.16x+3.5=3.2 => x=30/16.
8-30/16=49/8
ratio=(49/8)/(30/16)=49/15
ans-option 7)

Like? Yes (1) | No (4)

Palash Malani 10 years AGO

Total amount= 8 lacs
A profit = 15 lacs
B profit = 16°/°
Total profit = 40°/° of 8 lacs
= 3.2 Lacs
Loss due to b =.3 Lacs
16°/° of b = .3 Lacs
>>b= 1.875 Lacs
>>a= 6.125 Lacs
>>
A:B = 49/15

Like? Yes (2) | No (5)

Udhaya kumar 10 years AGO

Let x as first business , y as second business
overall profit 40% hence 8*40/100 = 3.2
in first business he get 3.5 profit
so in second business he got 0.3 loss
hence 16y/100 = 0.3
y = 30/16
x+y = 8
by solving we get x = 98/16
x/y = 98/30 = 49/15.....

Like? Yes (2) | No (5)

Ravi Bhalani 10 years AGO

Like? Yes (1) | No (4)

Madan 10 years AGO

let it be x/y
x+y=8
x+3.5+84/100*y=140/100*8
y=15/8
x=49/8
x/y=49/15

Like? Yes (1) | No (4)

Devendra Marghade 10 years AGO

If investment in First business=x & in 2nd business=8-x
Then, (x+3.5)+(84/100)(8-x)=(140/100)*8
On solving x=49/8 & (8-x)=15/8
So ratio of investments in first and 2nd business=x/(8-x)
=49/15

Like? Yes (1) | No (4)

Saraswathy 10 years AGO

Let x nd y be the money invested in each business
Then
x + y = 800000
(x+350000) + 0.84*y = 1.4*800000
x = 800000 - y
(800000 - y + 350000) + 0.84y = 1120000
-y + 0.84y = -30000
-0.16y = -30000
y = 187500
x = 800000 - 187500 = 612500
x : y => 612500 : 187500
x/y = 49/15

Ans : 49/15 (Option 7)

Like? Yes (3) | No (6)

Yogesh 10 years AGO

Let the amount invest is x & 800000-x

40% of 800000=320000

profit from 1st=3.5 lacs
loss from second=16%
total loss=overall profit - profit from 1st
=350000-320000=30000
Loss=30000
Principle amount to 2nd=30000*100/16=187500
investment to second=187500
investment to 1st=80000-187500=612500

Ratio=612500/187500
=49/15

Like? Yes (1) | No (4)

RAHUL RANJAN 10 years AGO

let he invested rs x lacs in 2nd investment,
so in first 8-x lacs.
total profit=3.5-.16x=8*40/100;
x=300/160;and
8-x=8-300/160;
=980/160
so ratio
1st : second=(0980/160)*(160/300);
=49/15

Like? Yes (1) | No (4)

guddu 10 years AGO

let 1st invest x lakh ,and 2nd invest (8-x)lakh
a/q
(x+3.5)+(8-x)0.84=8*1.4
x=49/8 on 1st investment
15/8 on 2nd investment
ratio=49/15

Like? Yes (2) | No (5)

BHANU KUMAR 10 years AGO

overall profit= 40% of 8 lacs=3.2 lacs
In the 1st business he earned a profit of 3.5 lacs so in order to have the overall profit to be 3.2 lacs he must loss 0.3 lacs in the 2nd business .
hence let he invests x lacs in 2nd business .
then 16 % of x = 0.3lacs
so, x= 30/16
y= 8- 30/16 =98/16
thus ratio is y/x=(98/16)/(30/16)=49/15 [OPTION 7]

Like? Yes (2) | No (5)

Navpreet Singh 10 years AGO

let the first investment =8-x
2nd investment =x

then according to question
(8-x)+3.5+0.84x=8*1.4
after solving x=15/8......1
8-x=49/8.........2
1/2
49/15 ans

Like? Yes (2) | No (5)

DIPAK TIWARI 10 years AGO

Let RAM invest 'x' lack ₹ in first business
Hence investment in second business=(8,00,000-x)₹
Total profit=8,00,000*40/100=3,20,000₹
Now from the given condition
3,50,000-((8,00,000)*16/100)=3,20,000
=> x=6,12,500₹ ==1st business
1,87,500₹==2nd business
Ratio equals 49/15

Like? Yes (1) | No (4)

Promit Saha 10 years AGO

lets divide 8 lacs into two parts i.e x and 8-x
profit obtained on investing x =3.5
loss incurred on investing 8-x =(8-x)*16/100
net profit =3.5-(8-x)*16/100
according to the problem,
40*8/100=3.5-(8-x)*16/100
on solving we get
x=49/8
8-x=15/8
ratio=49/15

Like? Yes (1) | No (4)

naina 10 years AGO

let amount invested in second business is rs.x
total profit on overall business=8*(40/100)=3.1
profit on first business =.5
loss on second business=x*(16/100)
adding profit of first and second business and equate with overall profit
3.1=3.5-x*(16/100)
=>x=75/40
=>8-x=245/40
ratio of first business to second=245/75=49/15

Like? Yes (1) | No (4)

Saroj kumar 10 years AGO

Two parts of investments are x & (800000-x)
Ratio=X/800000-x
=612500/800000-612500
=49/15......

Like? Yes (1) | No (4)

Narendra Jadon 10 years AGO

Let he invested amount as x and (8-x) lacs.
In first case profit is 3.5 lacs
In 2nd case his loss is = 16*(8-x)/100

As there is overall profit of 40% which is 3.5 - 16*(8-x)/100
x = 49/8
Another inverstment = 8 - 49/8 = 15/8
Hence ratio is 49/15.
Option -7

Like? Yes (1) | No (4)

Ramesh Sriram 10 years AGO

Assume ram spends x in first businee and 800000-x in second business
350000-(800000-x)*16/100=800000*40/100
solve for
x/(800000-x)
612500/187500
=49/15

Like? Yes (2) | No (5)

Dhananjay Chaudhary 10 years AGO

x + y = 8
x + 3.5 & y - 0.16 y = 0.84 y
x + 0.84 y + 3.5 =8 + ( 40 % of 8 )
x + 0.84 y = 7.7
x = 49 / 8
y = 15 / 8
x / y = 49 / 15

Like? Yes (1) | No (4)

RANJAN KUMAR PANDIT 10 years AGO

(49/64)*8=6.125 profit is 3.5 lacs s0 6.125+3.5=9.625
8-6.125=1.875 * 84%=1.575
so total price= 1.1575+6.125=11.2 it is 140% of 8 so total profit is 40%

Like? Yes (2) | No (5)

Laxmi 10 years AGO

x+y=8,00,000
40% of 8 lacs= 3,20,000
loss incurred in y= 3,50,000 - 3,20,000=30,000
y*16%= 30,000
=>y=187500
x+y=8 lacs
=>x=6,12,500
ratio=x/y=49/15

Like? Yes (1) | No (4)

SAURADIPTA SADHU 10 years AGO

Overall profit in the business = 8*(40/100)=3.2 lacs
Profit in the 1st business = 3.5 lacs
So, there is loss in the 2nd business =(3.5-3.2)=0.3lacs
Which is equal to 16% of the amount invested in the 2nd business.
So, the amount invested in the 2nd business = 0.3*16/100 = 1.875 lacs
So, the amount invested in the 1st business = (8-1.875) lacs = 6.125 lacs
So, the ratio = 6.125/1.875 = 49/15

Like? Yes (1) | No (4)

Asha Praveena 10 years AGO

x & 800000-x

profit form 1st business is 3.5 lacs
lost from 2nd business is 16%

overall profit=40% of 800000
=40*800000/100
=320000
overall profit=profit from 1st-loss from 2nd
total loss=320000-350000
=30000( this value is negative because of loss)
investment of 2nd is 30000*100/16=187500
investment of 1st is 800000-187500=612500

Investment ratio=1st/2nd
= 612500/187500
=49/15

Like? Yes (1) | No (4)

JANARTHANAN RAM 10 years AGO

x+y=8;
x+y+3.5-0.16y=11.2(8+40% of 8);
x=98/16;y=30/16;
x/y=49/15;

Like? Yes (2) | No (5)

Aravinth kumar 10 years AGO

Like? Yes (1) | No (4)

BITU KUMAR NIRALA 10 years AGO

overall profit=8 * (40/100)
=3.2 lacs
in first business he makes profit of 3.5 lacs so in second business he earned loss of (3.5-3.2)
=0.3 lacs
let in first business he invest = x lacs
so, in second business he invest=(8-x) lacs
now given
(8-x) * 0.16 = 0.3
so x = 49/8
so, 8-x = 8 - (49/8)
=15/8
so,
ratio of first business is to second business = x / (8-x)
=(49/8) /(15/8)
=49/15
Answer :- 49/15 (option 7)

Like? Yes (2) | No (6)

Sourojit Dhua 10 years AGO

3.5- 16% of (8-x) = 40% of 8
So,
0.3= 16% of (8-x)
So,
x= 98/16
Reqd. Ratio= 98/16 : 30/16
= 98/30 or 49/15

Like? Yes (9) | No (14)

Dimple

India

Punjab

Time: 00:01:33

Points

Maths Quotes

amcat ques , guys help me what is the value of these log0.2 base 5

amcat

"Obvious" is the most dangerous word in mathematics.

Eric Temple Bell

Placed User Comments

M4Math helped me a lot.

Vipul Chavan 4 years ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 5 years ago

Ram invests a sum of 8 lacs in two different businesses partly. In first business, he receives a pro

M4maths Previous Puzzles

23 Jul 2014 Profit and Loss