The simple interest on a certain sum for 8 months at 4% per annum is Rs.129 less

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The simple interest on a certain sum for 8 months at 4% per annum is Rs.129 less than the simple interest on the same sum for 15 months at 5% per annum. The sum is :

Options:

A . Rs.2400

B . Rs.2,580

C . Rs.3600

D . Rs.2529

Answer: Option C
Answer: (c)Let the sum be x${x × 5 × 15}/{100 × 12} - {x × 4 × 8}/{100 × 12}$ = 129$x/{100 × 12}$(75 - 32) = 129$x = {129 × 1200}/43$ = Rs.3600Using Rule 13,$P_1 = P, R_1 = 4%$$T_1 = 8 months = 8/12$ years$P_2 = P, R_2$ = 5%$T_2 = 15 month = 15/12$ yearsS.I. = Rs.129129 = ${P × 5 × 15/12 - P × {4 × 8}/12}/100$12900 = ${75P - 32P}/12$12900 = ${43P}/12$P = Rs.3600

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