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VerLearn Tamil through proverbs, poetry and play.
Core skills · Level 8

Discount, tax & compound interest

Sales, GST, percentage change and interest on interest.

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The idea

Compound interest is interest on interest: your money grows faster each year.

0200040006000800010000120001400010000Start11000Year 112100Year 213310Year 3₹
0200040006000800010000120001400010000Start11000Year 112100Year 213310Year 3₹

Look: ₹10,000 at 10% a year: +1,000, then +1,100, then +1,210.

✏️ Your turn!

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  1. 1₹800 with 25% off?

  2. 2₹5,000 at 10% compound for 2 years?

  3. 3Price up 10% then down 10%: same as before?

! Careful!

  • ✗Adding the same ₹1,000 every year.

    ✓That is simple interest. Compound uses the new total each year.

  • ✗15% off then 18% on is just 3% more.

    ✓Each percent applies to a different amount. Do one step at a time.

See the whole lesson on one page

Compound interest is interest on interest: your money grows faster each year.

Each year the interest is added to the money. Next year’s interest is worked out on the new, bigger amount.

Think of it like thisA snowball rolling downhill picks up more snow the bigger it gets. Savings with compound interest grow the same way.

0200040006000800010000120001400010000Start11000Year 112100Year 213310Year 3₹
0200040006000800010000120001400010000Start11000Year 112100Year 213310Year 3₹
₹10,000 at 10% a year: +1,000, then +1,100, then +1,210.

Solved together

Question

₹10,000 is saved at 10% compound interest. How much after 3 years?

  1. Year 1: add 10% of 10,000.

    10,000 + 1,000 = 11,000
  2. Year 2: add 10% of 11,000.

    11,000 + 1,100 = 12,100
  3. Year 3: add 10% of 12,100.

    12,100 + 1,210 = 13,310

Answer₹13,310.

For older learners and grown-ups: a little more

Amount = P(1 + R/100)ⁿ. For ₹10,000 at 10% for 3 years: 10,000 × 1.1³ = 13,310.

Now practise it

Kanakku makes new questions on discount, tax & compound interest every time. It shows the working and gives a hint when you are stuck.

Play and practise