Ram invested Rs.4500 in SI at (R + 4)% rate of interest per annum for n years and Jegan invested Rs.7500 in CI at R%

Ram invested Rs.4500 in SI at (R + 4)% rate of interest per annum for n years and Jegan invested Rs.7500 in CI at R% rate of interest per annum and after 4 years, the total amount obtained by him is Rs.15552. Find the time period of investment of Ram, if Ram obtained an interest of Rs.5400.

a)            12 years

b)            5 years

c)            7 years

d)            10 years

e)            None of these

Sol:

7500 * (1 + R/100)4 = 15552

((100 + R)/100)4 = 15552/7500

((100 + R)/100)4 = 1296/625

((100 + R)/100)4 = (6/5)4

(100 + R)/100 = 6/5

500 + 5R = 600

5R = 100

R = 20%

Interest at which Ram invested = 20 + 4 = 24%

4500 * 24 * n/100 = 5400

n = 5 years

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