Divide Rs. 3364 between A and B, so that A's Share at the end of 5 years may equal to B's share at the end of 7 years, compound interest being at 5 percent. Pick one
A) Rs. 1764 and Rs.1600
B) Rs. 1756 and Rs.1608
C) Rs. 1722 and Rs.1642
D) Rs. 1755 and Rs.1600
E) None of these
Explanation: A's share after 5 years = B's share after 7 years   (A's present share)(1+5100)5 = (B's present share)(1+5100)7   =&gt;(A's present share)/(B's present share) = (1+5/100)7/(1+5/100)5 = (1+5/100)(7âˆ’5) = (1+5/100)2 =(21/20)2 =441/400   i.e, A's present share : B's present share = 441 : 400   Since the total present amount is Rs.3364, A's share = 3364 Ã— 441/(441 + 400)   = (3364 Ã— 441)/841 = 4 Ã— 441 = Rs. 1764   B's present share = 3364 - 1764 = Rs.1600   Rs. 1764 and Rs.1600NSWER IS Rs. 1764 and Rs.1600
<result>A</result>
Divide Rs. 3364 between A and B, so that A's Share at the end of 5 years may equal to B's share at the end of 7 years, compound interest being at 5 percent.