Question : A money lender lent INR 30,000 in two parts, one at the rate of 8% and the other at 9%. If the total annual simple interest on the amount is 2650, then what is the amount of money lent at the rate of 8%?
Option 1: INR 6,000
Option 2: INR 5,000
Option 3: INR 4,500
Option 4: INR 5,500
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Correct Answer: INR 5,000
Solution : Given: Principal = INR 30000 Let the money lent at 8% be Rs. $x$, and the money lent at 9% be $(300000-x)$, and the time be 1 year. According to the question, Simple interest on $x$ at 8% + simple interest on $(30000-x)$ at 9% = 2650 ⇒ $\frac{x \times 8 \times 1}{100}+ \frac{(30000-x) \times 9 \times 1}{100}=2650$ ⇒ $\frac{8x}{100}+ \frac{270000-9x}{100}=2650$ ⇒ $ \frac{8x+270000-9x}{100}=2650$ ⇒ $8x+270000-9x=265000$ $\therefore x=5000$ Hence, the correct answer is INR 5,000.
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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 : 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 : A man deposited INR 10,000 at simple interest in a fund. The interest rate on the fund increases by 4% every year. If the interest rate at the time of the amount deposit was 8%, what is the interest earned (in INR) by him after 5 years?
Option 1: 6,000
Option 2: 8,400
Option 3: 5,800
Option 4: 8,000
Question : The difference between the simple and compound interest on a certain sum of money at an $8\%$ rate of interest per annum for two years is INR 56. Find the sum.
Option 1: INR 8750
Option 2: INR 7058
Option 3: INR 7805
Option 4: INR 8057
Question : A deposited INR 1,56,250 at 8% simple interest for 2 years. How much more money will A have in his account at the end of two years, if at the same rate of interest, the sum is invested in compound interest, compounded annually?
Option 1: INR 1,740.90
Option 2: INR 1,000
Option 3: INR 2,000
Option 4: INR 1,540.40
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