Question : Find the amount (integral value only) if a sum of INR 6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.
Option 1: INR 8,150
Option 2: INR 7,900
Option 3: INR 7,650
Option 4: INR 8,250
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Correct Answer: INR 7,900
Solution : Here, principal = INR 6,500 Rate compounded half-yearly = $\frac{10}{2}=5\%$ Time = 2 × 2 = 4 years as it compounded half-yearly We know, Total amount = $P(1+\frac{r}{100})^{n}$, where $P$ = Principal, $r$ = Rate of interest, $n$ = Time ⇒ Total amount = $6500(1+\frac{5}{100})^4$ ⇒ Total amount = $6500(\frac{21}{20})^4$ ⇒ Total amount = $6500×\frac{441}{400}×\frac{441}{400}$ ⇒ Total amount = $7900.79\approx 7900$ Hence, the correct answer is INR 7900.
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Question : A sum of INR 10,500 amounts to INR 13,650 in 2 years at a certain rate percent per annum simple interest. The same sum will amount to what in 1 year at the same rate if the interest is compounded half yearly (nearest to INR 1 )?
Option 1: INR 12,124
Option 2: INR 12,134
Option 3: INR 12,143
Option 4: INR 12,314
Question : If interest is compounded half-yearly, then find the compound interest on INR 8,000 at the rate of 20% per annum for 1 year.
Option 1: INR 1,675
Option 2: INR 1,690
Option 3: INR 1,685
Option 4: INR 1,680
Question : What is the compound interest on a sum of INR 25,000 after three years at a rate of 12 percent per annum interest compounded yearly?
Option 1: INR 10,123.20
Option 2: INR 9,824.00
Option 3: INR 10,520.00
Option 4: INR 9,956.86
Question : A man invests a total sum of INR 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part, at 15% simple interest per annum. If the total interest accrued in two years equals INR 2,400, the sum invested at 15% simple interest per annum is:
Option 1: INR 8000
Option 2: INR 4000
Option 3: INR 6000
Option 4: INR 5000
Question : Rajnish borrowed INR 1,500 from a bank and repaid the entire amount with interest in two equal annual instalments, the first instalment being paid a year after Rajnish borrowed from the bank. If the rate of interest was 40% per annum, compounded annually, then what was the value (in INR) of each instalment paid by Rajnish?
Option 1: 1125
Option 2: 1470
Option 3: 1225
Option 4: 1350
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