Question

Divide ₹ 40,608 such that if one part is invested in 8%. ₹ 100 shares at 8% discount and the second part is invested in 9% % , ₹ 100 shares at 8 % premium , then the annual income from both the investments are equal.

• A. ₹ 19955 & ₹ 20653 respectively
• B. ₹ 20142 & ₹ 20466 respectively
• C. ₹ 19872 & ₹ 20736 respectively
• D. ₹ 19772 & ₹ 20836 respectively

Answer 1

The correct option is C

₹ 19872 & ₹ 20736 respectively

Let the two part be ₹ x & ₹ (40608-x)

N.V of each share = ₹ 100

M.V of each share = Rs 100 - 8% of ₹ 100 = ₹ 92

Number of shares bought $=\frac{x}{92}$ $[\because investment=Rs.x]$Dividend of each share = 8 % of ₹ 100 = ₹ 8)

Total dividend $=₹8\times \frac{x}{92}=₹\frac{2x}{23}$

For $2^{nd}$ part investment $=(40608-x)$

N.V of each share = ₹ 100

M.V of each share = ₹.100+ 8 % of ₹ 100= ₹ 108

Number of share bought $=\frac{(40608-x)}{108}$

Total dividend $=₹9\times \frac{x}{108}=₹\frac{40608-x}{12}$

Given that dividend from both the investment are equal.

So, $\frac{2x}{23}=\frac{(40608-x)}{12}$

on solving we get

$x=19872$ & $(40608-x)=40608-19872$

$=20736$