The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525 .

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The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525 . The simple interest on the same sum for double the time at half the rate per cent per annum is :

Options:

A . Rs.515

B . Rs.520

C . Rs.500

D . Rs.550

Answer: Option C
Answer: (c)C.I. = P$[(1 + R/100)^T - 1]$525 = P$[(1 + 10/100)^2 - 1]$525 = P$(121/100 - 1)$525 = ${P × 21}/100$P = ${525 × 100}/21$ = Rs.2500Again, new rate = 5% per annumS.I. = $\text"Principal × Time × Rate"/100$= ${2500 × 5 × 4}/100$ = Rs.500

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