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Question

On a certain sum, the difference between the compound interest and the simple interest for the second year is Rs.4500 and the same for the third year is Rs.14175. What is the sum?

A
200000
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B
216000
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C
196000
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D
212000
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E
156000
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Solution

The correct option is A 200000

The difference in the SI and CI for the second year =Pr21002=4500....................(i)

The difference in the SI and CI for the third year =Pr21002(3+r100)=14175...........(ii)

From the equation (i) and (ii).
4500×(3+r100)=14175
r100=(1417545003)
r=67545. Now ,from equation (i)
P=4500r2×1002P=4500675×675×1002×45×45P=2,00,000.


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