Question

Pratibha invests an amount of Rs. 15,860 in the names of her three daughters A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of simple interest is 5% p.a., then the ratio of the amounts invested among A, B and C will be :

• A. 5 : 10 : 12
• B. $\frac{1}{10}:\frac{1}{15}:\frac{1}{20}$
• C. 6 : 7 : 8
• D. 6 : 5 : 4

Answer 1

The correct option is B $\frac{1}{10}:\frac{1}{15}:\frac{1}{20}$

$\frac{P_1\times 2\times 5}{100}=\frac{P_2\times 3\times 5}{100}=\frac{P_3\times 4\times 5}{100}\Rightarrow 10P_1=15P_2=20P_3\Rightarrow P_1:P_2:P_3=30:20:15=\frac{1}{10}:\frac{1}{15}:\frac{1}{20}$