Find the amount to be received after 2 years 6 months at the rate of 5% p.a. of simple interest on a sum of Rs. 3200.

Find the amount to be received after 2 years 6 months at the rate of 5% p.a. of simple interest on a sum of Rs. 3200. Correct Answer Rs. 3600

$$\eqalign{ & {\text{Rate of interest}} = {\text{5}}\% {\text{ p}}{\text{.a}}{\text{.}} \cr & {\text{sum}} = {\text{Rs}}{\text{. 3200}} \cr & {\text{Time}} = {\text{2 years 6 months}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 2\frac{1}{2}{\text{years}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{5}{2}{\text{years}} \cr & {\text{S}}{\text{.I}}{\text{.}} = \frac{{{\text{Prinicipal}} \times {\text{Time}} \times {\text{Rate}}}}{{100}} \cr & \,\,\,\,\,\,\,\,\,\, = \frac{{3200 \times 5 \times 5}}{{2 \times 100}} \cr & \,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}400 \cr & \therefore {\text{Amount}} = {\text{Rs}}{\text{. sum}} + {\text{S}}{\text{.I}}. \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {3200 + 400} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 3600}}{\text{}} \cr} $$
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Related Questions

The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Suman borrowed some amount of money at compound interest for 3 years. Find the amount to be paid by her after 3 years. Statement I: Simple interest on the same sum at the same rate of interest in 5 years will be 1/4th of the principal. Statement II: The simple interest on the sum after 6 years will be Rs. 12000. Statement III: The sum borrowed is 5 times the simple interest of 4 years.