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Rs. 10000 is lent at the annual rate of 20 percent for 3 years. Which of the following is statement(s) is/are correct? I. Simple interest to be receiv
Question

Rs. 10000 is lent at the annual rate of 20 percent for 3 years. Which of the following is statement(s) is/are correct?

I. Simple interest to be received on this sum is Rs. 6000.
II. Compound Interest (compounding annually) to be received on this sum is Rs. 7200.

A.

Neither I nor II

B.

Both I and II

C.

Only II

D.

Only I

Correct option is D

Given:
Principal (P) = Rs. 10000
Rate of Interest (R) = 20% per annum
Time (T) = 3 years
Formula Used:
SI=P×R×T100CI=P×(1+R100)TPSI = \frac{P \times R \times T}{100}\\CI = P \times \left(1 + \frac{R}{100}\right)^T - P​​
Solution:
SI=P×R×T100SI=10000×20×3100SI=6000SI = \frac{P \times R \times T}{100} \\SI = \frac{10000 \times 20 \times 3}{100} \\SI = 6000​​
Thus, the Simple Interest to be received is Rs. 6000.
A=P(1+R100)TA=10000(1+20100)3A=10000×(1.2)3A=10000×1.728A=17280CI=APCI=1728010000CI=7280A = P \cdot \left(1 + \frac{R}{100}\right)^T \\A = 10000 \cdot \left(1 + \frac{20}{100}\right)^3 \\A = 10000 \times \left(1.2\right)^3 \\A = 10000 \times1.728 \\A = 17280 \\CI = A - P \\CI = 17280 - 10000 \\CI = 7280​​
Thus, the Compound Interest to be received is Rs. 7280.
Hence, Statement I is correct, but Statement II is incorrect.

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