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Mathematics

The difference between C.I. and S.I. on ₹ 6,000 at 8% per annum in both the cases and in one year is:

  1. ₹ 480

  2. nothing

  3. ₹ 240

  4. none of these

Simple Interest

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Answer

P = ₹ 6,000

R = 8%

T = 1 year

Interest=(P×R×T100)=(6,000×8×1100)=48,000100=480\text{Interest} = \Big(\dfrac{P \times R \times T}{100}\Big)\\[1em] = ₹ \Big(\dfrac{6,000 \times 8 \times 1}{100}\Big)\\[1em] = ₹ \dfrac{48,000}{100}\\[1em] = ₹ 480

And

Amount = P + Interest=6,000+480=6,480\text{Amount = P + Interest}\\[1em] = ₹ 6,000 + 480\\[1em] = ₹ 6,480

And

Compound Interest = Final amount - Original Principal=6,4806,000=480\text{Compound Interest = Final amount - Original Principal}\\[1em] = ₹ 6,480 - ₹ 6,000\\[1em] = ₹ 480

Difference between S.I. and C.I. = ₹ 480 - ₹ 480 = 0.

Hence, option 2 is the correct option.

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