A man invests some money in a business and get 10% returns in a year. Next year he invests total out

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23 Apr 2015 Investment

A man invests some money in a business and get 10% returns in a year. Next year he invests total output in other business & gets 20% returns in the next year. In third year when he invests output after two year then he gets 30% loss in that year overall he receives.

OPtion

1) 5.4% Profit
2) 5.4% Loss
3) 7.6% Profit
4) 7.6% Loss
5) 3.9% Profit
6) 3.9% Loss
7) 4.6% Profit
8) 4.6% Loss
9) 6.1% Profit
10)6.1% Loss

Solution

Let he invests x rupees
Then x(1+0.1)(1+0.2)(1-0.3) = 0.924 x
So he receives 0.924 x means 92.4% of x
Loss is 7.6%

Option 4)

Correct Option: 4 Best Solution (26)

Supriya Mondal   9 years AGO

Let, his capital is Rs. 100
Then, after 1 year he get total=100+(10/100)*100=110
In the next year he will get total=110+(20/100)*110=132
Then, in the next year he will get total=(70/100)*132=92.4
So, overall he receives Rs. 92.4 against his capital Rs. 100
So, he loss (100-92.4)%=7.6%
So, option 4)7.6% loss is the right answer

Like? Yes (11) | No (1)  

ABHINAV PUSHPAM   9 years AGO

let the total amount of money be 100, then after one year 100+10%*100=110.
after 2nd year 110+20%*110=132.
after 3rd year 132-30*132=92.4;
net loss= 7.6%

Like? Yes (4) | No   

Jaspalsingh Parmar   9 years AGO

100
100+10=110
110
110+22=132
132-39.6=92.4
so loss =100-92.4 = 7.6 loss

Like? Yes (2) | No (1)  

sompon temtheerakij   9 years AGO

1st year = 100*1.1 = 110
2nd year = 1.1*1.2 = 132
3rd year loss = 132*30% = 39.6
output of 3rd year = 132-39.6 = 92.4
total loss = 100-92.4 = 7.6%

Like? Yes (1) | No   

SUSHANT KUMAR   9 years AGO

suppose sum be 100
10% profit means it became 110
now 20% profit on it means 110*120/100
132
now 30% loss means
132*70/100
I.e.92.4
so he get a loss of 7.6%

Like? Yes (1) | No   

ANUJ KUMAR   9 years AGO

Let the amount invested be x
After one year: x*1.10
After nxt year: x*(1.10)*(1.20)
overall: x*(1.10)*(1.20)*(0.70)
Equals to x*0.924
So, loss of 7.6%

Like? Yes (1) | No   

Anuradha   9 years AGO

to get overall profit user formula a+b+ab/100

in first 2 cases overall profit is: 10+20+(10*20)/100=32%

in next case overall profit is: 32+ (-30) + (-30)*32/100= -7.6
i.e -7.6% profit or 7.6% loss

Like? Yes (1) | No   

Neha Shahi   9 years AGO

let 100 rupees be invested then
1st year: output = 110
2nd year : profit =20/100 *110 = 22 ,output = 132 ,
3rd year : loss= 30/100 * 132 = 39.6 , output = 92.4
overall there was a loss of 7.6 % so option 4 is correct

Like? Yes (1) | No   

vivek   9 years AGO

let the money be rs 100 which the man invested in 1st year having 10% profit.
then, outcome after 1st yr will be 100*10/100+100=Rs 110
Again, he invested that money in 2nd yr and got 20% profit.
so outcome after 2nd year= 110*20/100+110=Rs 132
now, in 3rd yr he invested that money and got 30% loss,
so, total money recieved at the end of 3rd yr will be = 132 - 132*30/100= Rs 92.4
so there is loss for that person.
loss %= (100-92.4)/100*100=7.6%.

Like? Yes (2) | No (1)  

Sujit   9 years AGO

0.7 * 1.2 * 1.1 x = 0.924x
1-0.924 = 0.076
0.076*10 = 7.6

Like? Yes (1) | No   

VIPIN AGARWAL   9 years AGO

let day he invested Rs.100
first year output is Rs110
next year output is Rs132
but last year output is Rs92.4
therefore loss is of Rs7.6 ie 7.6%

Like? Yes (1) | No   

Math Lovers   9 years AGO

Let initial amount= x
total amount after 3 years = x * (110/100) * (120/100) * (70/100) = .924x

=> loss = 0.076x
=> %age loss = 76%

Like? Yes (1) | No   

jalaj   9 years AGO

lets assume he spends 100 10% return on 100.He gets 110.20% return on 110 he gets 132.30%loss on 132 he comes down 92.4.So,He gets a loss 7.6 overall

Like? Yes (1) | No   

moumita   9 years AGO

Let the principle amount,P, be x.
Then, after 1 year, t=1 year and R=10%
=> S.I=x*10/100*1 = x/10
Total amount ,A= S.I +P =11x/10
After 2nd year at 20% profit. S.I=11x/50
A=66x/50
After 3rd year with a loss of 30% , S.I=-198x/500
A=462x/500 = 0.924x
Amount he receive after 3 years = x-0.924 = 0.076x
i.e., 7.6% loss
Ans (4)

Like? Yes (2) | No (1)  

Anuj Rai   9 years AGO

Invested money=100
Output after first year =110
second year invested money =110
output after second year =132
Third year invested money=132
earn loss of 30%
i.e. (70/100)*132=92.40
so the net loss = 100-92.40=7.6
Loss =7.6%

Like? Yes (1) | No   

Stoycho   9 years AGO

1st year:
x+x*0.1=x(1+0.1)=1.1x

2nd year:
1.1x+1.1x*0.2=x(1.1+0.22)=1.32x

3rd year:
investment 1.32x
loss -1.32x*0.3= -0.396x
1.32-0.396=0.924 or 92,4% of x => 100-92.4 = 7.6% loss

Like? Yes (1) | No   

Abhishek Ranjan   9 years AGO

let his investment is 100
1st year output= 110
2nd year output=132
3rd year output= 92.4
final loss 7.6%

Like? Yes (1) | No   

SENTU PAUL   9 years AGO

After calculating the above problem we get the answer and that will be 7.6 % Loss
so, option 4) is the answer

Like? Yes (1) | No   

sangrambadi sahoo   9 years AGO

let invest ment=100
10% of 100 =10 so total =110
20% 110 so total=132
30% loss of 132=92.4%
so over all loss=7.6%

Like? Yes (1) | No   

kishore   9 years AGO

let the amount be 'x'
first time he had got 10% return so the amount now he has x * 110/100
this amount is invested in second time
second time he had got 20% so now x * (110/100) * (120/100)
third he had loss of 30% so
x * (110/100) * (120/100) * (70/100) = 92.4/100
so he has 7.6 % loss

Like? Yes (1) | No   

Madhumoy Gope   9 years AGO

%=(1-(1+(1+1/10)*1/5))*100=7.6% loss

Like? Yes (1) | No   

Srinivas   9 years AGO

let the investment is 100
profit 10 %=10
total 110
2nd company inv 110
profit 20%=22
third company inv = 132
lost 30% = 39.6
so 132-39.6 = 92.4
So 7.6 loss

Like? Yes (1) | No   

shaik sharina   9 years AGO

after first year get total amount=100+10=110
after 2nd year get total amount=110+((20/100)*110)=132
after 3rd year get loss=30/100*132=39.6
resultant=132-39.6=92.4
loss=100-92.4=7.6
loss percent=7.6/100=7.6%

Like? Yes (1) | No   

aman aditya   9 years AGO

suppose he has Rs 100
after 1 year 110
after 2 year 132
after 3 year loss 30% i.e 132-39.6=92.4
loss= 7.6%

Like? Yes (1) | No   

mukund   9 years AGO

the answer is 7.6

Like? Yes (1) | No   

MUKESH YADAV   9 years AGO

let amount invested is x. then,
(0.924x-x)*100/x= -7.6%

Like? Yes (1) | No