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The S.I. on a sum of money is 4/9 of the principle and the no. of year is equal to the rate of interest per annum. Find the rate of interest per annum?

  • a)
    5%

  • b)
    20/3%

  • c)
    22/7%

  • d)
    6%

Correct answer is option 'B'. Can you explain this answer?
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The S.I. on a sum of money is 4/9 of the principle and the no. of year...
Let's assume the principal amount is $P$ and the rate of interest per annum is $R$.

Given that the simple interest (SI) is $\frac{4}{9}$ of the principal, we can write the formula for simple interest as:

SI = $\frac{PR}{100}$

According to the given condition, the SI is $\frac{4}{9}$ of the principal:

$\frac{PR}{100} = \frac{4}{9}P$

Simplifying this equation, we get:

$\frac{R}{100} = \frac{4}{9}$

Cross multiplying, we obtain:

9R = 400

Dividing both sides by 9, we find:

R = $\frac{400}{9}$

The rate of interest per annum is $\frac{400}{9}\%$.

To simplify this fraction, we can express it as a mixed number:

$\frac{400}{9} = 44 \frac{4}{9}$

Therefore, the rate of interest per annum is $44 \frac{4}{9}\%$, which is equivalent to option B: $\frac{20}{3}\%$.
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The S.I. on a sum of money is 4/9 of the principle and the no. of year is equal to the rate of interest per annum. Find the rate of interest per annum?a)5%b)20/3%c)22/7%d)6%Correct answer is option 'B'. Can you explain this answer?
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