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Mathematics

The C.I. on ₹ 1,000 at 20% per annum and in 2 years is:

  1. ₹ 1,440

  2. ₹ 1,240

  3. ₹ 440

  4. ₹ 220

Simple Interest

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Answer

For 1st year:

P = ₹ 1,000

R = 20%

T = 1 year

Interest=(P×R×T100)=(1,000×20×1100)=20,000100=200\text{Interest} = \Big(\dfrac{P \times R \times T}{100}\Big)\\[1em] = ₹ \Big(\dfrac{1,000 \times 20 \times 1}{100}\Big)\\[1em] = ₹ \dfrac{20,000}{100}\\[1em] = ₹ 200

And

Amount = P + Interest=1,000+200=1,200\text{Amount = P + Interest}\\[1em] = ₹ 1,000 + 200\\[1em] = ₹ 1,200

For 2nd year:

P = ₹ 1,200

R = 20%

T = 1 year

Interest=(P×R×T100)=(1,200×20×1100)=24,000100=240\text{Interest} = \Big(\dfrac{P \times R \times T}{100}\Big)\\[1em] = ₹ \Big(\dfrac{1,200 \times 20 \times 1}{100}\Big)\\[1em] = ₹ \dfrac{24,000}{100}\\[1em] = ₹ 240

And

Final amount = P + Interest=1,200+240=1,440\text{Final amount = P + Interest}\\[1em] = ₹ 1,200 + 240\\[1em] = ₹ 1,440

And

Compound Interest = Final amount - Original Principal=1,4401,000=440\text{Compound Interest = Final amount - Original Principal}\\[1em] = ₹ 1,440 - ₹ 1,000\\[1em] = ₹ 440

Hence, option 3 is the correct option.

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