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# ICSE Class 8 Answered

At a certain rate of simple interest 1600 becomes 2200 in 9/2 years .What sum of money will become 5025 in 19/4 at the same rate of interest
Asked by Misra2018dipanko | 19 Nov, 2018, 07:56: PM
Expert Answer
Principle P = Rs. 1600, period  n = 9/2 years, Amount A = Rs2200

Interest = Amount - Principle = 2200 - 1600 = 600

Interest = PnR/100 = 1600×(9/2)×(R/100) = 600   hence R = (25/3) %

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For second part,  n = 19/4 year, Amount = Rs. 5025

P + PnR/100 = P [1+ ( nR/100 ) ] = P {  1 + [ (19/4)×(25/3)/100 ] } = 5025

Solving the above equation for P, we get P = Rs. 3600
Answered by Thiyagarajan K | 19 Nov, 2018, 09:57: PM

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