Question

Mark (✓) against the correct answer
At which sum will the simple interest at the rate of $3\frac{3}{4}\%$ per annum be Rs 210 in $2\frac{1}{3}$ years?

(a) Rs 1580
(b) Rs 2400
(c) Rs 2800
(d) none of these

Answer 1

(b) Rs 2400
$\begin{array}{l}\text{Rate=3}\frac{\text{3}}{\text{4}}\text{\% per annum}\\ \text{=}\frac{\text{15}}{\text{4}}\text{\% per annum}\\ \text{Time=2}\frac{\text{1}}{\text{3}}\text{years}\\ \text{=}\frac{\text{7}}{\text{3}}\text{years}\\ \text{S}\text{.I. =}\frac{\text{P×}\frac{\text{15}}{\text{4}}\text{×}\frac{\text{7}}{\text{3}}}{\text{100}}\\ \text{=>P=}\frac{\text{210×100}}{\left(\frac{\text{15}}{\text{4}}\text{×}\frac{\text{7}}{\text{3}}\right)}\\ \text{=>P=600×4}\\ \text{=>P= Rs 2400}\end{array}$