Practice30Create account

Anjali deposits ₹10000 at 10% per annum compounded annually. At the end of the first year she adds another ₹1000 to the account. What is in the account at the end of the second year?

Class 8Comparing QuantitiesComparing Quantities
  • A₹13100
  • B₹13200
  • C₹12100
  • D₹13310

Step-by-Step Solution

Year 1: . She adds 1000, so the second year starts on 12000. Year 2: . Trap: ₹13100 adds the ₹1000 only at the very end, where it earns no interest; ₹12100 forgets the deposit altogether; ₹13310 compounds ₹10000 for three years instead of two.
Answer: B) ₹13200

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

A trader can either lend ₹50000 for 2 years at 8% per annum compounded annually, or hand…Look at the tax invoice from a stationery shop in Jaipur. GST at 18% is added to the…A shop's sale poster is shown. Sunita buys the jacket. How much does she pay after both…The tag on a pair of school shoes shows the marked price and the discount. What is the…The bar picture shows how many students joined Sunrise School in Nagpur in 2024 and in…