Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?

4 : 9

5 : 1

4 : 1

3 : 2

2 : 1

Let the amount lent at 7% be Rs. x

Amount lent at 10% is Rs. (6000 – x)

Total interest for one year on the two sums lent

= 7/100 x + 10/100 (6000 – x) = 600 – 3x/100

=> 600 – 3/100 x = 450 => x = 5000

Amount lent at 10% = 1000

Required ratio = 5000 : 1000 = 5 : 1