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A sum, when invested at 10% simple interest per annum, amounts to ₹4800 after 2 years. What is the simple interest (in ₹) on the same sum at the
Question

A sum, when invested at 10% simple interest per annum, amounts to ₹4800 after 2 years. What is the simple interest (in ₹) on the same sum at the same rate of interest in 2 years?

A.

800

B.

3200

C.

1600

D.

400

Correct option is A

Given:

Amount (A) = ₹4800

Rate of interest (R) = 10% per annum

Time (T) = 2 years

Find: Simple Interest (SI)

Formula Used:

Simple Interest: SI =P×R×T100 \frac{P \times R \times T}{100}​​

Relation between Amount and Principal: A = P + SI

Solution:

SI = P×R×T100=P×10×2100=20P100=P5\frac{P \times R \times T}{100} = \frac{P \times 10 \times 2}{100} = \frac{20P}{100} = \frac{P}{5}

A = P + P5=6P5 \frac{P}{5} = \frac{6P}{5}​ = 4800

P =4800×56=4000 \frac{4800 \times 5}{6} = 4000

SI =P×R×T100=4000×10×2100=800 \frac{P \times R \times T}{100} = \frac{4000 \times 10 \times 2}{100} = 800

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