If a shopkeeper incurs 10% loss and 25% profit on items sold for Rs. 45 and Rs. 40 respectively, then find his net profit/loss.
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Solution

Concept : 1 Mark
Application : 1 Mark
Calculation : 2 Marks

Let the cost price of item sold at loss be $x$

$\Rightarrow x - 10 % o f x = 45$

$\Rightarrow x - \frac{10}{100} \times x = 45$

$\Rightarrow x - \frac{1}{10} \times x = 45$

$\Rightarrow \frac{10 x - x}{10} = 45$

$\Rightarrow x = 50 \Rightarrow C o s t p r i c e i s R s . 50$

$\Rightarrow L o s s = R s . (50 - 45) = R s . 5$

Similarly let the cost price of item sold at profit be $y$

$\Rightarrow y + 25 % o f y = 40$

$\Rightarrow y + \frac{25}{100} \times y = 40$

$\Rightarrow y + \frac{1}{4} \times y = 40$

$\Rightarrow \frac{4 y + y}{4} = 40$

$\Rightarrow y = 32 \Rightarrow C o s t p r i c e i s R s .32$

$\Rightarrow P r o f i t = R s . (40 - 32) = R s . 8$

Net gain = Rs. (8 - 5) = Rs. 3

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If a shopkeeper incurs 10% loss and 25% profit on items sold for Rs. 45 and Rs. 40 respectively, then find his net profit/loss. [4 MARKS]

If a shopkeeper incurs 10% loss and 25% profit on items sold for Rs. 45 and Rs. 40 respectively, then find his net profit/loss.
[4 MARKS]