Practice30Create account

Assertion (A): For the same principal, rate and time (T = 2 years), compound interest is greater than simple interest. Reason (R): In compound interest, the second year's interest is calculated on the amount including the first year's interest. Which is correct?

Class 8Comparing QuantitiesComparing Quantities
  • ABoth A and R are true and R is the correct explanation of A
  • BBoth A and R are true but R is not the correct explanation of A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

CI exceeds SI because interest is earned on previous interest — exactly what R states — so R correctly explains A.
Answer: A) Both A and R are true and R is the correct explanation of A

Key idea: Compound interest — interest on interest

After year 1, interest is added to principal — so year 2's interest is calculated on a LARGER amount, not the original.

****, where A is the final amount after years.
**CI = ** (the total interest earned).

Example: ₹2000 at 5% for 3 years, compounded annually:
- Year 1: Year 2: Year 3:

Direct formula: . CI = 2315.25 − 2000 = 315.25 (vs SI of 300 — compound gives more).

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Comparing Quantities practice questions

More Class 8 Comparing Quantities practice

When interest is compounded half-yearly, how must the annual rate R and time T (in…Which of the following statements is correct?Find the compound interest on ₹15625 at 4% per annum for 3 years.A wholesaler offers a discount of 20% on a marked price of ₹2500 and then charges 12%…The difference between the compound interest and simple interest on a sum for 2 years at…