A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :

A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is : Correct Answer 16:15

let the sum lent at 5% be Rs.x and that lent at 8% be Rs.(1550-x). then, 

 

Interest on x at 5% for 3 years + interest on (1550-x) at 8% for 3 years = 300

 

 x*5*3100+1500-x*8*3100=300 

 

 x=800

 

Required ratio =  x : (1550-x) = 800 : (1550-800) = 800 : 750 = 16 : 15

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