Question : What is the amount (in INR) of debt that will be discharged in 6 equal instalments of INR 800 each, if the debt is due in 6 years at 5% per annum?
Option 1: 6,600
Option 2: 7,500
Option 3: 8,000
Option 4: 5,400
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Correct Answer: 5,400
Solution : Given: Installment = INR $800$ Rate, $r$ = $5$% Time, $t$ = $6$ years Let the debt be $x$. Installment $=\frac{\text{Debt×100}}{100×t+\frac{r×t(t-1)}{2}}$ ⇒ $800=\frac{100x}{100×6+\frac{5×6(6-1)}{2}}$ ⇒ $800=\frac{100x}{675}$ $\therefore x = 5400 $ Hence, the correct answer is 5,400.
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Question : A certain amount of money was lent for 1 year 9 months at a rate of 10% per annum compounded annually. If the compound interest is INR 1,460, find the amount of money lent.
Option 1: INR 8,200
Option 2: INR 7,500
Option 3: INR 6,000
Option 4: INR 8,000
Question : What is the Compound interest on INR 25,000 for 3 years at 10% per annum compounded yearly?
Option 1: INR 8,125
Option 2: INR 8,000
Option 3: INR 8,200
Option 4: INR 8,275
Question : A sum of INR 12,000 amounts to INR 15,000 in 5 years at the rate of simple interest. What is the rate of interest per annum?
Option 1: 8%
Option 2: 7%
Option 3: 6%
Option 4: 5%
Question : A man invested INR 4,500 at 5% per annum and INR 5,500 at 8% per annum simple interest. Both investments were for 4 years each. The amount received from the lower rate of interest is what percent (rounded off to the nearest integer) of the amount received from the higher rate of interest?
Option 1: 63%
Option 2: 74%
Option 3: 51%
Option 4: 48%
Question : The simple interest on a certain sum of money at the rate of 5% per annum for 8 years is Rs. 840. The rate of interest for which the same amount of interest can be received on the same sum after 5 years is:
Option 1: 7% per annum
Option 2: 8% per annum
Option 3: 9% per annum
Option 4: 10% per annum
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