The difference between the simple interest received from two different sources o

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Question

The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is:

Options:

A . 0.2%

B . 0.1%

C . 0.4%

D . 0.3%

Answer: Option D
Answer: (d)Let $r_1$, and $r_2$ be the required rate of interestThen, ${13.50} = {1500 × 3 × r_1}/100$– ${1500 × 3 × r_2}/100 = 4500/100(r_1 - r_2)$$r_1 - r_2 = 135/450 = 27/90$= $3/10$ = 0.3%Using Rule 13,$P_1 = Rs.1500, R_1 , T_1$ = 3 years.$P_2 = Rs.1500, R_2 , T_2$ = 3 years.S.I. = Rs.13.5013.50 = ${1500 × R_2 × 3 - 1500 × R_1 × 3}/100$$1350/100 = {4500(R_2 - R_1)}/100$$R_2 - R_1 = 1350/4500 = 27/90$= $3/10$ = 0.3%

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