Question

a father left a will of rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. the original amount of rs.35 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

The elder daughter attains the age of 21 after 5 years.

The younger attains the age of 21 after 12.5 years.

The elder one receives an amount x. The younger one gets (35,00,000 – x).

Since they both get equal amounts, the equation is given below.

x + 5*x*0.1 = (35,00,000 – x) + (35,00,000 – x)*12.5*x*0.1

On solving the above equation,

x = 21,00,000

Thus the older one receives 21 lakhs.

Answer 2

Answer:

step wise explanation