Find the amount and the compound interest on rs 32000 for 1 year at 20 percent per annum compounded half-yearly
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Required Answer
- A = ₹38720
- CI = ₹6720
Given
- P = ₹ 32000
- T = 1 year
- R = 20%
To find
- Amount
- Compound Interest
Formula
- A = P( 1 + r/200)^2n
- CI = A - P
Solution
A = P( 1 + r/200)^2n
⇒₹32000( 1 + 20/200)^ 2× 1
⇒ ₹32000 ( 1+ 1/10)²
⇒ ₹ 32000 ( 11/10)²
⇒ ₹ 32000 × 11/10 × 11/10
⇒₹ 32000 × 11 × 11
⇒ ₹ 38720
Amount = ₹38720
Now,
CI = A - P
= ₹38720 - ₹32000
= ₹6720
Compound interest= ₹6720
Thus, Amount is = ₹38720,
And Compound Interest is = ₹6720. Ans.
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