1.

Some part of Rs 9500 was lent at the rate of 15% per annum simple interest and the remaining part at the rate of 20% per annum simple interest. The total interest received after 3/2 years is Rs 2565. What is the ratio of money lent at the rate of 15% and 20%?1). 11 : 82). 12 : 73). 2 : 34). 5 : 4

Answer»

Let the TWO parts be Rs. ‘X’ and Rs. (9500 - x)

? Simple INTEREST = (Principal × Rate × Time)/100

⇒ Simple interest at 15% p.a. on Rs. x = (x × 15 × 3/2)/100 = 0.225x

⇒ Simple interest at 20% p.a. on Rs. (9500 - x) = [(9500 - x) × 20 × 3/2]/100 = 2850 - 0.3x

Now, total interest = Rs. 2565

⇒ 0.225x + 2850 - 0.3x = 2565

⇒ 0.3x - 0.225x = 2850 - 2565

⇒ 0.075x = 285

⇒ x = 285/0.075 = Rs. 3800

⇒ 9500 - x = 9500 - 3800 = Rs. 5700

∴ Required ratio = 3800 ? 5700 = 2 ? 3


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