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

Application: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

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

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

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

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

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

$\Rightarrow x = 50 \Rightarrow Cost price is$ ₹ 50

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

Similarly, let the cost price of an item sold at profit be ₹ y.

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

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

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

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

$\Rightarrow y = 32 \Rightarrow Cost price is$ ₹ 32

$\Rightarrow Profit$ = ₹(40 - 32) = ₹ 8

Net gain = ₹ (8 - 5) = ₹ 3

So, the shopkeeper makes a profit of ₹ 3.

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

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