A person invests 10000 rupees and 15000 rupees in two different scheme

1.	A person invests 10000 rupees and 15000 rupees in two different schemes. After one year, he got 900 rupees as interest for the first amount and 1200 rupees as interest for the second amount.i. Are the interests proportional to the investments?ii. What is the ratio of the interest to the amount invested in the first scheme? What about the second?.iii. What is the annual rate of interest in the first scheme? And in the second?
Answer» i. The ratio between the amounts invested = 10000:15000 = 2 : 3 The ratio between the interests = 900 : 1200 = 3 : 4 Since the ratios are different. So, interests will be not proportional to the investments. ii. The ratio between the amount invested and interest in scheme 1 = 10000 : 900= 100 : 9 The ratio between the amount invested and interest in scheme 2 = 15000 : 1200 = 25 : 2 iii. Rate of interest in the first scheme = 900/10000 × 100 = 9% Rate of interest in the second scheme = 1200/15000 × 100 = 8%

A person invests 10000 rupees and 15000 rupees in two different schemes. After one year, he got 900 rupees as interest for the first amount and 1200 rupees as interest for the second amount.i. Are the interests proportional to the investments?ii. What is the ratio of the interest to the amount invested in the first scheme? What about the second?.iii. What is the annual rate of interest in the first scheme? And in the second?

Answer»

i. The ratio between the amounts invested = 10000:15000 = 2 : 3

The ratio between the interests = 900 : 1200 = 3 : 4

Since the ratios are different. So, interests will be not proportional to the investments.

ii. The ratio between the amount invested and interest in scheme 1

= 10000 : 900= 100 : 9

The ratio between the amount invested and interest in scheme 2

= 15000 : 1200 = 25 : 2

iii. Rate of interest in the first scheme

= 900/10000 × 100 = 9%

Rate of interest in the second scheme = 1200/15000 × 100 = 8%