Compound Interest
- At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years ?
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Let the rate be R% per annum.
Then,
1200 x (1 + R/100)2 = 1348.32Correct Option: C
Let the rate be R% per annum.
Then,
1200 x (1 + R/100)2 = 1348.32
⇒ (1 + R/100)2 =1348.32/1200 = 1.1236 = (1.06)2
⇒ (1 + R/100) =1.06
⇒ R/100 = 0.06
∴ R = 6%
- A sum of ₹ 2400 deposited at CI, Double after 5 yr. After 20 yr it will become ?
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2P = P (1 + R/100) 5
⇒ 24 P = P(1 + R/100)20
⇒ The amount becomes 24 times
= 16 times and required amount = 2400 x 16 = ₹ 38400Correct Option: B
2P = P (1 + R/100) 5
⇒ 24 P = P(1 + R/100)20
⇒ The amount becomes 24 times
= 16 times and required amount = 2400 x 16 = ₹ 38400
- Rohit earns an interest of ₹ 1656 for the third year and ₹ 1440 for the second year on the same sum. Find the rate of interest if it is lent at compound interest ?
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Interest on ₹ 1440 = ₹ 216 for the third year
Correct Option: C
Interest on ₹ 1440 = ₹ 216 for the third year
⇒ Rate percentage = (216 x 100)/(1440 x 1) = 15 %
- What will be the compound interest on a sum of ₹ 50000 after 3 yr at the rate of 12% pa?
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Given, P = ₹ 50000, R = 12% and n = 3 Yr
According to the formula,
Amount = P (1 + R/100 )n
= 50000 (1 + 12/100 )3Correct Option: C
Given, P = ₹ 50000, R = 12% and n = 3 Yr
According to the formula,
Amount = P (1 + R/100 )n
= 50000 (1 + 12/100 )3
= 50000 x (28/25) x (28/25) x (28/25)
= 16 x (28 x 28 x 28)/ 5 = 351232/5
= ₹ 70246.40
∴ CI = 702446.40 - 50000 = ₹ 20246.40
- A sum amounts to ₹ 1352 in 2 yr at 4% compound interest. The sum is
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Using the formula, A = p ( 1 + R/100 )n
⇒ 1352 = p(1 + 4/100 )2Correct Option: A
Using the formula, A = p ( 1 + R/100 )n
⇒ 1352 = p(1 + 4/100 )2
⇒ 1352 = p(1.04 )2
∴ p = 1352/(1.04)2 = ₹ 1250