Question
P deposits ₹(A - 10,000) in a bank at an interest rate of
10% per annum, compounded half-yearly, for 1 year. Meanwhile, Q invests ₹(A + 15,000) in the same bank at an interest rate of 12% per annum, compounded annually, for 2 years. If the total interest earned by both P and Q together amounts to ₹9,929, find the value of A.Solution
(A - 10000)*[(1 + 10/200) 2 - 1] + (A + 15000)*[(1 + 12/100) 2 -1] = 9929
41/400 * (A - 10000) + 159/625 * (A + 15000) = 9929
3569A/10000 = 9929 + 1025 - 3816
A = ₹20000
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