Question
If the difference of C.I and S.I on some amount is Rs.17
and the sum of the C.I and S.I is 75. Find the product of the C.I and S.I?Solution
C.I – S.I = 17 C.I + S.I = 75 Formula used: (a + b)2 = (a – b)2 + 4ab => (C.I + S.I)2 = (C.I – S.I)2 + 4 × C.I. × S.I => (75)2 = (17)2 + 4 × C.I. × S.I => 4 × C.I. × S.I = 5625 – 289 => 4 × C.I. × S.I = 5336 ∴ C.I. × S.I = Rs. 1334
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