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The difference of CI and SI for 2 years is Rs. 147 and the sum is Rs. 30000 then what is the rate of interest p.a.?
1. 7%
2. 8%
3. 11%
4. 9%

1 Answer

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Correct Answer - Option 1 : 7%

Given: 

The difference between CI and SI for 2 years is Rs. 147

The sum is Rs. 30000

Concept Used:

The difference between compound and simple interest after two years = \( {PR^2 \ \over 100^2}\)
Where P = principal amount, R = rate of interest

Calculation:

As, difference of CI and SI for 2 years is Rs.147

⇒ \( {PR^2 \ \over 100^2}\) = 147

⇒ \( {30000R^2 \ \over 10000}\) = 147

⇒ R2 = 147/3 = 49

⇒ R = √49 = 7

∴ The rate of interest is 7%

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