Management Aptitude Test 2017 Paper

(d) None of these
Let, the principle amount of daughter aged 18 years be 7x.
Then, daughter of age 16 years would receive ₹ (61000 - x)
According to the question.
x${\left(1+\frac{20}{100}\right)}^2$ = (61000 - x) ${\left(1+\frac{20}{100}\right)}^4$
[∵ A = P ${\left(1+\frac{\mathit{R}}{100}\right)}^{\mathit{n}}$
⇒ ${\left(\frac{120}{100}\right)}^2$x = (61000 - x) ${\left(\frac{120}{100}\right)}^4$
⇒ x = (61000 - x) ${\left(\frac{120}{100}\right)}^2$
⇒ x = 61000 x 1.44 - 1.44x
⇒ x(1+1.44) = 87840
⇒ x = $\frac{87840}{2.44}$ = ₹ 36000
∴Share of two daughters are ₹ 36000
and ₹ (61000 - 36000) = ₹ 25000, respectively.