Money invested by six persons A–F at simple interest, with rate, time and a rupee value. Dashes are missing and to be calculated.

Person	Rate of Interest	Time	Value (Rs)
A	6%	—	18000
B	6%	—	30000
C	—	5 years	29000
D	—	3 years	45000
E	8%	—	20000
F	—	2 years	60000

If the interest received by F is Rs 7575 more than the interest received by D, and the rate of interest received by F is 2% more than the rate of interest received by A, then the interest rate received by D is:

A8%

B1.3%

C1.4%

D1.5% ✓ Correct

Correct answer: (D) 1.5%

Explanation

The interest rate received by D is 1.5 percent.

A's rate is 6 percent, so F's rate is 6 plus 2, that is 8 percent.

F's principal is 60000 for 2 years, giving interest 60000 times 8 times 2 over 100.

The difference between F's interest and D's interest is 7575.

D's principal is 45000 for 3 years, so setting up the difference gives 1350 times D's rate equal to 2025.

Solving gives D's rate as 1.5 percent.

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