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Standard VII

Mathematics

Prices Related to an Item

A sold an art...

Question

A sold an article to B at a profit of $2.5 %$ . B sold the same article to C at a loss of $10 %$ . If C paid $₹ 9.90$ for it, how much did it cost A?

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Solution

Finding the cost price for A
Let CP of the article for $A$ be $₹ x$
A sold it to B at $2.5 %$ profit
$S P f o r B = \frac{(100 + 2.5) x}{100} = ₹ 1.025 x$
B sold the same to C at a loss of $10 %$
$S P f o r B = \frac{(100 - 10)}{100} \times (1.025 x) = 0.90 \times 1.025 x = ₹ 0.9225 x$
We know that C paid $₹ 9.90$
$₹ 0.9225 x = ₹ 9.90 x = \frac{9.90}{0.9225} x = ₹ 10.73$
Hence cost price for A = $₹ 10.73$

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A sold an article to B at a profit of 2.5%. B sold the same article to C at a loss of 10%. If C paid ₹9.90 for it, how much did it cost A?

A sold an article to B at a profit of $2.5 %$ . B sold the same article to C at a loss of $10 %$ . If C paid $₹ 9.90$ for it, how much did it cost A?