Question

A certain sum of money amounts to Rs. 1,008 in 2 years and to Rs. 1, 164 in 3 `1/2` years. Find the sum and the rate of interest.

Options

• Rs. 900 and 12%

• Rs. 800 and 12%

• Rs.700 and 13%

• Rs. 800 and 13%

Answer 1

Rs. 800 and 13%

Explanation:

₨.1008 in 2 years

₨.1164 in `3 1/2` years

SI on 1008 for `1 1/2` year = 1164 − 1008 = 156

SI for 1 year`=156/3xx2=104`

SI for 2 years = 208

Principal + SI = 1008

Principal in starting = 1008 − 208 = ₨. 800

Rate of interest`=104/800xx100=13%`