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After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None?
Most Upvoted Answer
After allowing a discount of 20%, a shopkeeper got a profit of 20%, by...
Solution:
Given,
Selling price after discount = Rs. 960
Profit after discount = 20%
Let the cost price of the article be Rs. x
Finding Selling Price before Discount:
After discount, the selling price becomes 80% of the original selling price. Therefore,
80% of the original selling price = Rs. 960
Original selling price = (960 x 100) / 80 = Rs. 1200
Finding Cost Price:
Since the profit after discount is 20%, the selling price after discount would be 120% of the cost price. Therefore,
120% of cost price = Rs. 960
Cost price = (960 x 100) / 120 = Rs. 800
Finding Profit % without Discount:
Let the profit made by the shopkeeper without discount be P%.
Selling price without discount = cost price + profit
=> Selling price without discount = 800 + (P/100)x800
=> Selling price without discount = 800(1 + P/100)
Given, selling price with discount = Rs. 960
So, the selling price without discount would be:
800(1 + P/100) x 0.8 = 960
=> 1 + P/100 = 1.2
=> P/100 = 0.2
=> P = 20
Therefore, the profit made by the shopkeeper without discount is 20%.
Hence, the answer is (b) 30%.
Given,
Selling price after discount = Rs. 960
Profit after discount = 20%
Let the cost price of the article be Rs. x
Finding Selling Price before Discount:
After discount, the selling price becomes 80% of the original selling price. Therefore,
80% of the original selling price = Rs. 960
Original selling price = (960 x 100) / 80 = Rs. 1200
Finding Cost Price:
Since the profit after discount is 20%, the selling price after discount would be 120% of the cost price. Therefore,
120% of cost price = Rs. 960
Cost price = (960 x 100) / 120 = Rs. 800
Finding Profit % without Discount:
Let the profit made by the shopkeeper without discount be P%.
Selling price without discount = cost price + profit
=> Selling price without discount = 800 + (P/100)x800
=> Selling price without discount = 800(1 + P/100)
Given, selling price with discount = Rs. 960
So, the selling price without discount would be:
800(1 + P/100) x 0.8 = 960
=> 1 + P/100 = 1.2
=> P/100 = 0.2
=> P = 20
Therefore, the profit made by the shopkeeper without discount is 20%.
Hence, the answer is (b) 30%.
Community Answer
After allowing a discount of 20%, a shopkeeper got a profit of 20%, by...
Let mp=x , discount=20%
sp=0.8x=960
x=1200
profit=20%
cp = 960/1.2=800
profit if there is no discount
sp=1200 ,cp=800
profit=(1200-800)/800×100=400/800×100=50%
ans- option (d)
sp=0.8x=960
x=1200
profit=20%
cp = 960/1.2=800
profit if there is no discount
sp=1200 ,cp=800
profit=(1200-800)/800×100=400/800×100=50%
ans- option (d)
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After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None?
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After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None?.
After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After allowing a discount of 20%, a shopkeeper got a profit of 20%, by selling an article for Rs. 960. Find the profit % when there is no discount. (a) 75% (b) 30% (c) 25% (d) 50% (e) None?.
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