Question : A shopkeeper sells a table at a discount of 25% on the marked price and earns a profit of 80%. If he sells the same table at a 40% discount, then his new profit is:
Option 1: 31%
Option 2: 44%
Option 3: 33%
Option 4: 41%
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Correct Answer: 44%
Solution :
Given: A shopkeeper sells a table at a discount of 25% on the marked price and earns a profit of 80%.
Let the CP of the table = Rs. 100
Here cost price is denoted by CP, the selling price is denoted by SP, and the marked price is denoted by MP.
Profit = $80$%
So, the SP = ($100+100×\frac{80}{100}$) = Rs. $180$
There is also a 25% discount on the MP,
So, the MP = $180×(\frac{100}{100–25})$ = Rs. $240$
If he sells the same table at a 40% discount,
The new SP = $240×(\frac{60}{100})$ = Rs. $144$
So the new profit = $(144–100)$ = Rs. $44$
The new profit % = $\frac{44}{100}\times 100$ = 44%
Hence, the correct answer is 44%.
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