David started a business establishment by investing Rs.15000. After 4 months William entered into a partnership by investing a certain amount. At the end of the year, the profit was shared in the ratio 9 : 8. Find how much money was invested by William.

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Solution

Let William invested Rs.x
Profit sharing ratio $= 15000 \times 12 : 8 x = 1; 80, 000 = 8 x$
Also profit ratio $= 9 : 8$
$∴$ ATP $180000 : 8 x = 9 : 8$
$\Rightarrow \frac{180000 \times 8}{9 \times 8} = x$
$\Rightarrow x = R s .20, 000$

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David started a business establishment by investing Rs.15000. After 4 months William entered into a partnership by investing a certain amount. At the end of the year, the profit was shared in the ratio 9 : 8. Find how much money was invested by William.

Let William invested Rs.x Profit sharing ratio =15000×12:8x=1;80,000=8xAlso profit ratio =9:8∴ ATP 180000:8x=9:8⇒180000×89×8=x⇒x=Rs.20,000

Let William invested Rs.x
Profit sharing ratio $= 15000 \times 12 : 8 x = 1; 80, 000 = 8 x$
Also profit ratio $= 9 : 8$
$∴$ ATP $180000 : 8 x = 9 : 8$
$\Rightarrow \frac{180000 \times 8}{9 \times 8} = x$
$\Rightarrow x = R s .20, 000$