Question : On a certain sum of money lent out at 16% p.a. the difference between the compound interest between 1 year, payable half-yearly and the simple interest for 1 year is Rs. 56. The sum is:
Option 1: Rs. 1080
Option 2: Rs. 7805
Option 3: Rs. 8750
Option 4: Rs. 5780
Correct Answer: Rs. 8750
Solution : Let the Principal amount be $P$. Difference between Compound Interest and Simple Interest for 2 terms = $\frac{PR^{2}}{100^{2}}$ where $R$ is the rate of interest per term and $P$ is principal. Here $R$ for six months = $\frac{16}{2}$% = 8% So, 56 = $P[\frac{8^2}{100^2}]$ ⇒ $P$ = 8750 Hence, the correct answer is Rs. 8750.
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Question : On a certain sum of money lent out at 16% per annum, the difference between the compound interest for 1 year, payable half-yearly, and the simple interest for 1 year is Rs. 60. The sum is:
Option 1: Rs. 937.5
Option 2: Rs. 9,000
Option 3: Rs. 9,365
Option 4: Rs. 9,375
Question : Find the amount of a sum of Rs. 7,500 invested on compound interest at 8% p.a. for 1.5 years when the interest is compounded half-yearly.
Option 1: Rs. 8,436.48
Option 2: Rs. 8,736.48
Option 3: Rs. 8,657.48
Option 4: Rs. 8,564.48
Question : On a certain sum, the difference between compound interest and simple interest at 10% per annum for 2 years is Rs.250. The sum is _________.
Option 1: Rs.25,450
Option 2: Rs.26,550
Option 3: Rs.25,000
Option 4: Rs.26,000
Question : Find the difference between compound interest and simple interest when a sum of Rs. 15,625 is invested for 3 years at 4% per annum.
Option 1: Rs. 76
Option 2: Rs. 96
Option 3: Rs. 56
Option 4: Rs. 86
Question : Find the difference between the simple interest and the compound interest payable annually on a sum of Rs. 6,500 at 7% per annum for 3 years. (Correct to two decimal places.)
Option 1: Rs. 94.34
Option 2: Rs. 97.78
Option 3: Rs. 98.73
Option 4: Rs. 95.67
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