Question

Rajinikanth left a will of $44 lakhs between his two daughters Aishwarya and Soundharya aged 8.5 and 16 such that they may get equal amounts when each of them reaches the age of 21 years. The original amount of $44 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Let Rs=x be the amount that the elder daughter got at the time of the will. Therefore,

the younger daughter got (44,00,000 - x).

The elder daughter’s money earns interest for (21 - 16) = 5 years @ 10% p.a simple interest.

The younger daughter’s money earns interest for (21 - 8.5) = 12.5 years @ 10% p.a simple interest.

As the sum of money that each of the daughters get when they are 21 is the same,

$x+\frac{5^{*} 10^{*} x}{100}=(4000,000-x)+\frac{12.5^{*} 10^{*}(4000,000-x)}{100}$$x+\frac{50}{x}=40,00,000-x+\frac{125}{100} * 40,00,000-\frac{125 x}{100}$$2 x+\frac{50 x}{100}+\frac{125 x}{100}=40,00,000 *\left(1+\frac{5}{4}\right)$$\frac{200 x+50 x+125 x}{100}=\frac{9}{4}^{*}(40,00,000)$

$x=2,400,000=24\text { lakhs }$