Hindi, asked by anshika1797, 1 year ago

the simple interest on a certain sum for 3 years at 8% per annum is rupees 96 more than the simple interest on the same sum for 2 years at 9% per annum find the sum

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Answered by MonarkSingh
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Answered by Anonymous
5

\huge\mathfrak\red{Question:}

The simple interest on a certain sum for 3 years at 8% per annum is Rs. 96 more than the simple interest on the same sum for 2 years at 9% per annum. Find the sum.

\huge\mathfrak\green{Solution:}

Let the required sum be Rs. x. Then,

SI on Rs. x at 8% p.a. for 3 years

 = rs.( \frac{x \times 8 \times 3}{100} ) =  rs .\:\frac{6x}{25}

SI on Rs. x at 9% p.a. for 2 years

rs.( \frac{x \times 9 \times 2}{100} ) = rs. \frac{9x}{50}

Hence,

 \frac{6x}{25}  -  \frac{9x}{50}  = 96

(12x - 9x) = 96 \times 50

3x = 4800

x =  \frac{4800}{3}

x = 1600

Hence, the required sum is Rs. 1600.

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