Ram deposited a certain sum of money in a company at 12% per annum simple intere

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Ram deposited a certain sum of money in a company at 12% per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15% per annum simple interest. If the difference in the interest from two sources is Rs.1350, then the sum deposited in each case is :

Options:

A . Rs.4000

B . Rs.3000

C . Rs.6500

D . Rs.5000

Answer: Option D
Answer: (d)Let amount invested in each company be Rs. x.S.I. = ${\text"Principal × Rate × Time"/100$According to the question,${x × 15 × 5}/100 - {x × 12 × 4}/100$ = 1350${75x}/100 - {48x}/100$ = 1350${27x}/100$ = 1350$x = {1350 × 100}/27$ = Rs. 5000Using Rule 13Here, $P_1 = Rs. P, R_1 = 12%, T_1$ = 4 years$P_2 = Rs. P, R_2 = 15%, T_2$ = 5 yearsS.I. = Rs. 1350S.I.= ${P_2R_2T_2 - P_1R_1T_1}/100$1350 = ${P × 15 × 5 - P × 12 × 4}/100$135000 = 75 P - 48P135000 = 75 PP = Rs. 5000

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