Question

A certain sum amounts to Rs. 3825 in 4 years and to Rs. 4050 in 6 years. Find the rate percent and the sum.

Answer 1

In 6 years sum amounts to = Rs. 4050
In 4 years sum amounts to =Rs. 3825
$\therefore$ Interest of 2 years=Rs. 4050-Rs. 3825
=Rs. 225
Interest of 4 years= Rs. $\frac{225}{2}\times 4$
$=Rs.450$ Now P= A-I
=Rs. 3825 - Rs.450
=Rs. 3375
I= Rs. 450
T=4 years
$R=\frac{100\times I}{P\times T}$
$=\frac{100\times 450}{3375\times 4}$
$=\frac{45000}{13500}$% =$\frac{450}{135}$ %
$=\frac{10}{3}$% = $3\frac{1}{3}$ %
P= Rs. 3375