Question

A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he would have got Rs. 120 less. Find the ratio between his investments in the two schemes.

• A. 9 : 16
• B. 37 : 63
• C. 47 : 53
• D. 11 : 14

Answer 1

The correct option is C 47 : 53

First condition

Total amount = 100000

Assume, A has invested Rs. x at 10% rate and Rs (100000 - x) at 12% interest.

Total interest = 0.1x + (100000 - x) × 0.12
$(Tl{)}_I=12000-0.02x$

Second condition

Assume, A has invested Rs x at 12% rate and Rs (100000 - x) at 10% interest.

Total interest = 0.12x + (100000 - x) × 0.1
$(Tl{)}_{II}=10000+0.02x$

Given,
$(Tl{)}_I-(Tl{)}_{II}=120$

(12000 - 0.02x) - (10000 + 0.02x) = 120
2000 - 0.04x = 120

$x=\frac{1880}{0.04}=Rs.47000$

Now, Another part
= 100000 - x
= 100000 - 47000
= Rs. 53000
$\frac{x}{(100000-x)}=\frac{47}{53}$