Question

# Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at 8% per annum is ₹ 480

A

₹ 55,000

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B

₹ 75,000

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C

₹ 85,000

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D

₹ 80,000

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Solution

## The correct option is B ₹ 75,000 Let the Principal be P Given C.I - S.I = ₹ 480 , n = 2 years and r = 8 % S.I = P×T×R100 = P×2×8100 = 16P100 ----------------------------------(1) C.I for the first year = P×1×8100 = 8P100 Principal for 2nd year = P + 8P100 = 108P100 C.I for the second year = 108P×1×8100×100 = 864P10000 Total C.I for two years = 864P10000 + 8P100 = 1664P10000 -----------------------------------(2) Given that the difference between C.I and S.I is ₹ 480 Hence from (1) and (2) , we have 1664P10000 - 16P100 = ₹ 480 64P10000 = ₹ 480 P = ₹ 75,000

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