A certain sum of money on a certain annual rate of interest becomes ₹1008 in 2 years and ₹ 1164 in 3 years. Find the sum and the annual rate of interest.
The amount 1008 becomes 1164 in 1.5 years i.e:
In 3/2 years the interest earned = 1164 - 1008 = 156
Interest earned in 1 year = 156/(3/2) = 104
Amount in after two year = Principal + Interest of two year
1008 = P + (2 × 104)
P = 1008 - 208 = 800
S.I = PRT/100
208 = (800 × r × 2)100
r = 13%
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