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What is the Compound interest earned for 2 year on a sum of Rs. 2000 at the rate of 20% per annum ?
1. 880
2. 812
3. 844
4. 888

1 Answer

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Best answer
Correct Answer - Option 1 : 880

Given

Compound interest earned for 2 year on a sum of Rs.2000 at the rate of 20% per annum

Concept used

Ratio method

20% = 5 : 6

Calculation

20% = 5 : 6

Ci for two years 

⇒ 5 : 6

⇒ 5 : 6

⇒ 5 × 5 : 6 × 6

⇒ 25 : 36

Interest = 36 - 25

Interest = 11

Principal = 2000

25 unit = 2000

1 unit = 80

Ci = 80 × 11

Ci = Rs. 880

Second method

\(2000 × \frac{{120}}{{100}} × \frac{{120}}{{100}}\)

2 × 12 × 120

120 × 24

∴ Amount = Rs. 2880

Interest = Amount - Principal

Interest = 2880 - 2000

Interest = Rs.880

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