A person in vests 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?
Given:
Amount invested: ₹10000 and ₹15000
Interest after 1 year: ₹ 900 for first amount and ₹1200 for second amount.
i). To check whether interest proportional to the investments.
Interest ratio 
Investment ratio 
If Interest ratio is equal to investment ratio, then only both are in proportion.
As we can observe from above solution, interest ratio is not equal to investment ratio.
i.e. 
ii). Ratio of interest to investment
In first case, amount invested is ₹10000 and interest earned is ₹900
∴ Ratio 
Now,
In second case, amount invested is ₹15000 and interest earned is ₹1200
∴ Ratio 
iii). Annual rate of the scheme
Rate 
In first scheme, rate 
⇒ 
∴ Annual rate in this scheme is 9% per annum.
In second scheme, rate 
⇒ 
⇒ 
⇒ 2 × 4 = 8%
∴ Annual rate in this scheme is 8% per annum.
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