11. A sum of money becomes 5070 in 18 months and 25610 in 4+1/2 years. Find the principal,
the rate of interest, and the amount after 5 years.
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18 months = 1 year and 6 months = 1 + 6/12 years = 3/2 years
in 3/2 years sum = 5070 ₹
in 9/2years sum = 25610 ₹
in 6/2 years (9/2 - 3/2 y) sum = 25610 -5070 = 20540₹
In 6/2 y SI = 5070/3/2 × 6/2 = 2535₹
Principal in 6/2 y = Sum - SI
20540 - 2535= 18005 ₹
Rate = 100 × SI÷P × T = 100 × 2535 ÷ 18005 × 6/2 = 42. 23 % per annum
amount after 5 y =
SI in 5 y = P× R× T ÷100 = 18005 × 42.23 × 5÷100 = 38017 . 55 ₹
amount after 5 y = sum + SI after 5 y
18005 + 38017.55. = 56022. 55 ₹
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