A man invests 11 lacs in two business. In one business he finds a profit of 60 % whereas in second a

M4maths Previous Puzzles

31 Aug 2011 business

A man invests 11 lacs in two business. In one business he finds a profit of 60 % whereas in second a loss of 50 %. How much his invest would be in the two business if it is given that he got no profit no loss.

OPtion

1) 4 lacs in first business
2) 5 lacs in first business
3) 7 lacs in second business
4) 4 lacs in second business
5) 5 lacs in second business
6) 6 lacs in first business
7) 3 lacs in first business
8) 3 lacs in second business
9) 8 lacs in first business
10) none of these

Solution

according to the given condition
x*0.6 = (11-x)*0.5
or 0.6x = 5.5 - 0.5x
or 1.1x = 5.5
or x = 5 lacs

Correct Option: 2 Best Solution (9)

~Sandeep~   12 years AGO

Let investment in 1st business be x
x*160 - (11-x)50 =0
=> x = 5 Lacs

Like? Yes (4) | No   

soumya goyal   12 years AGO

let he invested x lakhs in 1st business and 11-x lakhs in 2nd.
therefore 60% profit is 160x/100 and 50% loss is 50(11-x)/100.
since there is no profit and no loss, so total amount will be equal to 11 lakhs.
=> 16x/10 + 5(11-x)/10 = 11
on solving we get, x = 5 lakhs

Like? Yes (4) | No   

akshay tr   12 years AGO

x+y=1100000
y=1100000-x
x*60/100=y*50/100
x=y*50/60
x=5/6*(1100000-x)
x=5500000/6-(5/6x)
11x=5500000
x=500000
y=1100000-500000=600000

Like? Yes (1) | No   

yogesh   12 years AGO

IF 5 lack in 1st bussiness that means i have invested 6 in 2nd bussiness.

60% of 5 lack is 3 lack
and 50% of 6 lack is 3 lack

which makes loss and profit equal

Like? Yes (1) | No   

dharmaveer   12 years AGO

as per the given condition - In one business he finds a profit of 60 % whereas in second a loss of 50 %

if, 5 lacs is invested in first business then remaining 6lacks is invested in second business.

then, the 1st business profit and 2nd business loss is 300000. and he will get no profit or no loss.

Like? Yes (1) | No   

saurabh gupta   12 years AGO

let x is his investment in first business. then in second business investment is 11-x
(x*60)=(11-x)*50
=> x=5

Like? Yes (1) | No   

amit kumar gupta   12 years AGO

let in first business Rs. x(in Lakhs)
then in second 11-x
60x/100=(50(11-x)/100)
x=5

Like? Yes (1) | No   

aditi gandhi   12 years AGO

60% of 5 lacs is 3 lacs so 5+3=8 lacs and 50% of 6 lacs is 3 lacs so 3+8=11 lacs hance no profit no loss

Like? Yes (1) | No   

Ambika Prasad Tiwari   12 years AGO

let the investment in the first business be x lacs then that in second business is 11-x lacs
now it is given that there should be no profit or loss hence the new amount invested must be 11 lacs..
(x+((60/100)*x))+((11-x)-((50/100)*(11-X)))=11
SOLVING WE GET
x=5 lacs...

Like? Yes (1) | No