Question : A sum of Rs. 500 becomes Rs. 580 at simple interest in 2 years. In how many years will the sum of Rs. 650 amounts to Rs. 858 at the same rate of simple interest?
Option 1: 4 years
Option 2: 8 years
Option 3: 5 years
Option 4: 6 years
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Correct Answer: 4 years
Solution : Given: A sum of Rs. 500 becomes Rs. 580 at simple interest in 2 years. Principal ($P$) = Rs. 500 Simple interest ($I$) = 580 – 500 = Rs. 80 Time ($T$) = 2 years So, the rate of interest ($R$) = $\frac{100×I}{P×T}$ = $\frac{100×80}{500×2}$ = 8% Now, at the same interest rate, Principal ($P$) = Rs. 650 Total interest ($I$) = (858 – 650) = 208 The rate of interest ($R$) = 8% So, the required time ($T$) = $\frac{100×I}{P×R}$ = $\frac{100×208}{650×8}$ = 4 years Hence, the correct answer is 4 years.
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Question : A sum of Rs. 600 becomes Rs. 840 at simple interest in 4 years. In how many years will the sum of Rs. 1500 amount to Rs. 2100 at the same rate of simple interest?
Option 1: 5 years
Option 2: 4 years
Option 3: 2 years
Option 4: 3 years
Question : At the same rate of simple interest sum of the interest of Rs. 300 for 4 years and the interest of Rs. 400 for 3 years is 120. The rate of interest is:
Option 1: 5%
Option 2: 4%
Option 3: 6%
Option 4: 10%
Question : A sum of Rs. 11,500 amounts to Rs. 12,880 in 2 years at the rate of simple interest. What is the rate of interest?
Option 1: 6% per annum
Option 2: 4% per annum
Option 3: 8% per annum
Option 4: 10% per annum
Question : A sum of Rs. 2,400 amounts to Rs. 3,264 in 4 years at a certain rate of simple interest. If the rate of interest is increased by 1%, the same sum at the same time would amount to:
Option 1: Rs. 3,288
Option 2: Rs. 3,312
Option 3: Rs. 3,340
Option 4: Rs. 3,360
Question : In how many years will the simple interest on a sum of Rs. 6000 lent at 5% per annum be equal to the simple interest on a sum of Rs. 2000 lent for 30 years at 4% per annum?
Option 1: 6 years
Option 2: 12 years
Option 3: 20 years
Option 4: 8 years
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