Priyanka lent out Rs 26000 to two people in such a way that the simple interest paid by one person at 9% for 6 years is same as the interest paid by the other person at 10% for 5 years. The sum lent out at 9% is:

12500

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13000

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13500

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15000

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None of these

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Solution

The correct option is A 12500
The money lent out is x, 26000-x
$\frac{x \times 9 \times 6}{100} = \frac{(26000 - x) 10 \times 5}{100} 54 x + 50 x = 26000 \times 50 x = \frac{26000 \times 50}{104} x = 12500$

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Priyanka lent out Rs 26000 to two people in such a way that the simple interest paid by one person at 9% for 6 years is same as the interest paid by the other person at 10% for 5 years. The sum lent out at 9% is:

The correct option is A 12500The money lent out is x, 26000-x x×9×6100=(26000−x)10×510054x+50x=26000×50x=26000×50104x=12500

The correct option is A 12500
The money lent out is x, 26000-x
$\frac{x \times 9 \times 6}{100} = \frac{(26000 - x) 10 \times 5}{100} 54 x + 50 x = 26000 \times 50 x = \frac{26000 \times 50}{104} x = 12500$