A machine is sold at a profit of 15 %. Had it | vedclass

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(C) Let the cost price of the machine be $CP$.Initially,the machine is sold at a profit of $15 \%$,so the selling price $SP_1 = CP + 0.15 CP = 1.15 CP

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$6000$

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(C) Let the cost price of the machine be $CP$.Initially,the machine is sold at a profit of $15 \%$,so the selling price $SP_1 = CP + 0.15 CP = 1.15 CP$.If it is sold for $Rs\, 540$ more,the new selling price $SP_2 = SP_1 + 540 = 1.15 CP + 540$.In this case,the profit is $24 \%$,so $SP_2 = CP + 0.24 CP = 1.24 CP$.Equating the two expressions for $SP_2$:$1.24 CP = 1.15 CP + 540$$1.24 CP - 1.15 CP = 540$$0.09 CP = 540$$CP = \frac{540}{0.09} = \frac{54000}{9} = 6000$.Therefore,the cost price is $Rs\, 6000$.

$A$ machine is sold at a profit of $15 \%$. Had it been sold for $Rs\, 540$ more,$24 \%$ would have been gained. Find the cost price.

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