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Rs. 10,000 is being compounded at 20% per annum. Calculate the amount after 2 years if the rate of interest is charged half yearly.
- A14600
- B12500
- C14642
- D14641
Answer not set
Discussion 1
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CCommunity
As per the given data,
Principal p = Rs. 10,000
Rate R = 20%
Time period n = 2 years
We know that for half yearly A = p × [1 + (R/2)/100]2n
⇒ A = 10,000 × [1 + (20/2)/100]2 × 2
= 10000 × (1.1)4
= 10000 × 1.4641
= Rs. 14641
∴ Amount after 2 years if the rate of interest is charged half yearly = Rs. 14641
Principal p = Rs. 10,000
Rate R = 20%
Time period n = 2 years
We know that for half yearly A = p × [1 + (R/2)/100]2n
⇒ A = 10,000 × [1 + (20/2)/100]2 × 2
= 10000 × (1.1)4
= 10000 × 1.4641
= Rs. 14641
∴ Amount after 2 years if the rate of interest is charged half yearly = Rs. 14641