Question
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]
[4 MARKS]
Answer:
:
Application: 1Mark
Steps: 2Marks
Answer: 1 Mark
Let the costprice of item sold at loss be₹ x
⇒x−10%ofx=45
⇒x−10100×x=45
⇒x−110×x=45
⇒10x−x10=45
⇒x=50⇒Cost price is₹50
⇒Loss = ₹(50 - 45) = ₹5
Similarly, letthe costprice of an item sold at profitbe ₹y.
⇒y+25%ofy=40
⇒y+25100×y=40
⇒y+14×y=40
⇒4y+y4=40
⇒y=32⇒Cost price is₹32
⇒Profit = ₹(40 - 32) = ₹8
Net gain = ₹(8 - 5) = ₹3
So, the shopkeeper makes a profit of ₹ 3.
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:
Application: 1Mark
Steps: 2Marks
Answer: 1 Mark
Let the costprice of item sold at loss be₹ x
⇒x−10%ofx=45
⇒x−10100×x=45
⇒x−110×x=45
⇒10x−x10=45
⇒x=50⇒Cost price is₹50
⇒Loss = ₹(50 - 45) = ₹5
Similarly, letthe costprice of an item sold at profitbe ₹y.
⇒y+25%ofy=40
⇒y+25100×y=40
⇒y+14×y=40
⇒4y+y4=40
⇒y=32⇒Cost price is₹32
⇒Profit = ₹(40 - 32) = ₹8
Net gain = ₹(8 - 5) = ₹3
So, the shopkeeper makes a profit of ₹ 3.
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