Question : Find the difference between the Compound Interest and Simple Interest on Rs. 32,000 at 10% p.a. for 4 years.
Option 1: Rs. 2,051.20
Option 2: Rs. 2,052.50
Option 3: Rs. 2,025.20
Option 4: Rs. 2,501.20
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Correct Answer: Rs. 2,051.20
Solution : Sum, P = Rs. 32,000 Rate, R = 10% Term, $n$ = 4 years When compounded annually, Compound Interest after n years = $P[(1+\frac{R}{100})^{n}–1]$ Compound Interest after 4 years = $32000[(1+\frac{10}{100})^{4}–1]$ = Rs.14,851.20 Simple Interest after n years = $\frac{PnR}{100}$ Simple Interest after 4 years = $\frac{32000×4×10}{100}$ = Rs. 12,800 Difference between SI and CI = 14851.2 – 12800 = Rs. 2,051.20 Hence, the correct answer is Rs. 2,051.20.
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Question : A certain sum was invested at the rate of 10% for 2 years at Compound interest and compounded annually. The same sum was invested for the same period and the same rate of interest at Simple interest. If the difference between Compound interest and Simple interest was Rs. 200 find the sum.
Option 1: Rs. 30,000
Option 2: Rs. 25,000
Option 3: Rs. 22,000
Option 4: Rs. 20,000
Question : The difference between simple interest and the true discount on Rs. 2400 due 4 years hence at 5% per annum simple interest is:
Option 1: Rs. 30
Option 2: Rs. 70
Option 3: Rs. 80
Option 4: Rs. 50
Question : There is a 40% increase in the amount in 10 years at simple interest. What will be the compound interest on Rs. 30,000 after 3 years at the same rate?
Option 1: Rs. 3,745.92
Option 2: Rs. 7,491.84
Option 3: Rs. 9,364.80
Option 4: Rs. 5,618.88
Question : If the difference between the simple interest and the compound interest for 3 years at the rate of 10% per annum on a certain sum is equal to Rs. 310, then that sum of money is:
Option 1: Rs. 8,000
Option 2: Rs. 9,500
Option 3: Rs. 12,000
Option 4: Rs. 10,000
Question : On what sum of money will the difference between the Simple Interest and Compound Interest for 2 years at 5% per annum be equal to Rs. 63?
Option 1: Rs. 24,600
Option 2: Rs. 24,800
Option 3: Rs. 25,200
Option 4: Rs. 25,500
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