Question

the difference between the CO and SI for a certain sum of 2years at 9% p.a is rs.324.find the sum​

Answer 1

Answer:-

40,000

Explanation:-

Let the principal be "P".

Given:

Time = 2 years

Rate of interest = 9%

Difference between C.I and S.I = Rs. 324

We know that,

$compound \: interest \: = P(1 + \frac{R}{100} ) ^{T} - P \\ \\ and \: simple \: interest \: = \frac{PTR}{100} \\ \\ P(1 + \frac{9}{100})^{2} - P - ( \frac{P \times 2 \times 9}{100} ) = 324 \\ \\ P( \frac{100 + 9}{100} ) ^{2} - P - ( \frac{18P}{100} ) = 324 \\ \\ P( \frac{109}{100} ) ^{2} - P - \frac{18P}{100} = 324 \\ \\ P( \frac{11881}{10000} ) - \frac{100p}{100} - \frac{18P}{100} = 324 \\ \\ \frac{11881P - 10000P - 1800P}{10000} = 324 \\ \\ 81P = 324 \times 10000 \\ \\ P = \frac{3240000}{81} \\ \\ P = 40000$

Hence, the sum is Rs. 40,000.

Answer 2

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