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Standard VIII

Mathematics

Profit and Loss

A sold an art...

Question

A sold an article to B at the profit of 25%, B sold it to C at loss of 10% and C sold it to D at the profit of 20%. If D paid rs27, then how much A paid to buy this article?

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Solution

Let the cost price of article be $R s . C$
Sale Price of A $= \frac{5}{4} C$
Sale Price of B $= \frac{5}{4} C$ $\times \frac{9}{10}$
Sale Price of C $= \frac{5}{4} C$ $\times \frac{9}{10}$ $\times \frac{6}{5} = R s .27$
Solving we get $C = R s .20$
Thus A paid $R s .20$ to buy this article

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A sold an article to B at the profit of 25%, B sold it to C at loss of 10% and C sold it to D at the profit of 20%. If D paid rs27, then how much A paid to buy this article?

Let the cost price of article be Rs.CSale Price of A =54CSale Price of B =54C ×910Sale Price of C =54C ×910 ×65=Rs.27Solving we get C=Rs.20Thus A paid Rs.20 to buy this article

Let the cost price of article be $R s . C$
Sale Price of A $= \frac{5}{4} C$
Sale Price of B $= \frac{5}{4} C$ $\times \frac{9}{10}$
Sale Price of C $= \frac{5}{4} C$ $\times \frac{9}{10}$ $\times \frac{6}{5} = R s .27$
Solving we get $C = R s .20$
Thus A paid $R s .20$ to buy this article