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Q.

The CI on a sum of money for 2 years is Rs.832 and the SI on the same sum for the same period is Rs.800. The difference between the CI and SI for 3 years will be:


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a

Rs.48

b

Rs.66.56

c

Rs.98.56

d

None of these 

answer is C.

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Detailed Solution

Concept- Compound interest on a loan or deposit accrues on both the initial principal and the accumulated interest earned
Given the simple interest for 2 years is Rs.800
The simple interest for the first year is Rs.400
And simple interest for Second year is also Rs.400
Compound interest for the first year will be 400
And Compound interest for the Second year will be 832 - 400 = 432
Compound interest for the second year is more than simple interest for 2nd year by 432 - 400 = Rs.32
i.e, Rs. 32 is the interest obtained for Rs.400 for the first year.
Rate, = 100×SI PT=100×32400×1 =8%
Difference between compound and simple interest for the Third year
= Simple Interest obtained for Rs.832
=PRT100= 832×8×1100 =Rs. 66.56
Total difference between the compound interest and simple interest for 3 years
= 32 + 66.56 = Rs.98.56
Hence, the correct option is 3.
 
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