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Standard VII

Mathematics

Estimation Using Percentages in Situations

A sold an art...

Question

$A$ sold an article to $B$ at a profit of $20 %$ . $B$ sold the same article to $C$ at a loss of $25 %$ and $C$ sold the same article to $D$ at a profit of $40 %$ . If $D$ paid Rs $252$ for the article, then find how much did $A$ pay for it?

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Solution

Let the article costs $^{'} X^{'}$ to $A$
Cost price of $B = 1.2 X$
Cost price of $C = 0.75 (1.2 X) = 0.9 X$
Cost price of $D = 1.4 (0.9 X) = 1.26 X = 252$
Amount paid by $A$ for the article $=$ Rs. $200$

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A sold an article to B at a profit of 20%. B sold the same article to C at a loss of 25% and C sold the same article to D at a profit of 40%. If D paid Rs 252 for the article, then find how much did A pay for it?

Let the article costs ′X′ to ACost price of B=1.2XCost price of C=0.75(1.2X)=0.9XCost price of D=1.4(0.9X)=1.26X=252Amount paid by A for the article = Rs.200

$A$ sold an article to $B$ at a profit of $20 %$ . $B$ sold the same article to $C$ at a loss of $25 %$ and $C$ sold the same article to $D$ at a profit of $40 %$ . If $D$ paid Rs $252$ for the article, then find how much did $A$ pay for it?

Let the article costs $^{'} X^{'}$ to $A$
Cost price of $B = 1.2 X$
Cost price of $C = 0.75 (1.2 X) = 0.9 X$
Cost price of $D = 1.4 (0.9 X) = 1.26 X = 252$
Amount paid by $A$ for the article $=$ Rs. $200$