Question

the interest on a certain sum of money for 2*1/3 years at 3*3/4 p.a is rs210. the sum is :

Answer 1

Let the sum = P
time = $2 \frac{1}{3}$ years = 7/3 years
rate = $3 \frac{3}{4}$% = 15/4 % per annum
SI = Rs. 210

$SI = \frac{PTR}{100} \\ \\ \Rightarrow P = \frac{100 \times SI}{TR} \\ \\ \Rightarrow P = \frac{100 \times 210}{ \frac{7}{3} \times \frac{15}{4} } =\frac{100 \times 210 \times 3 \times 4}{ 7\times 15 } =Rs.\ 2400$

The sum is Rs. 2400