A sum of money lent out at simple interest amount to rs 2880 in 2 years and to rs 3600 in 5 years.find the sum of money and the rate of interest?
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Hey Mate!!!
Here's your answer.
Amount in 2 years = ₹2880
P + I of 2 years = ₹2880.
Amount in 5 years = ₹3600
P + I of 5 years = ₹3600.
Interest of 3 years (5-2) = ₹3600 - ₹2800 = ₹800.
Interest of 1 year = ₹800÷2 = ₹400.
Interest of 4 years (3+1) = ₹400×4 = ₹1600.
P+ ₹1600 = ₹2880, P = ₹1280.
Taking P = ₹1280, I = ₹400, T = 1 year.
R (rate) = I × 100 ÷ P × T
= 400 × 100 ÷ 1280 × 1 = 31.25%
The sum = ₹1280 and Rate(R) = 31.25%.
I hope it helps.
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