Question

Two partners A and B together lend Rs 84100 at 5% compounded annually. The amount which A gets at the end of 3 years is the same as what B gets at the end of 5 years. Determine the ratio of shares of A and B. 

(a) 21 : 20 

(b) 441 : 400 

(c) 1 : 4 

(d) 5 : 21

Answer 1

(b) 441 : 400

Let the share of A = Rs x. Then, 

Share of B = Rs (84100 – x)

\(\therefore\) x\(\big(1+\frac{5}{100}\big)^3\) = (84100 – x)\(\big(1+\frac{5}{100}\big)^5\)

\(\Rightarrow\) Ratio of shares of A and B

= \(\frac{X}{84100-X}\) = \(\big(1+\frac{5}{100}\big)^2\) = \(\big(\frac{21}{20}\big)^2\) = \(\frac{441}{400}\)