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A shopkeeper allows a discount of 10% to his customers and still gains. 20%. Find the marked price of the article which costs ₹ 450. (SSC CGL 1st Sit. 2011)
- a)₹ 600
- b)₹ 540
- c)₹ 660
- d)₹ 580
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A shopkeeper allows a discount of 10% to his customers and still gains...
Given:
- The shopkeeper allows a discount of 10% to his customers.
- The shopkeeper still gains 20%.
To Find:
- The marked price of the article which costs 450.
Explanation:
Let's assume the marked price of the article is 'x'.
Step 1: Calculate the Selling Price (SP) after 10% discount:
- Selling Price (SP) = x - 10% of x
- SP = x - 0.1x
- SP = 0.9x
Step 2: Calculate the Cost Price (CP) after 20% gain:
- CP = SP/(1 + Gain %)
- CP = 0.9x/(1 + 20%)
- CP = 0.9x/(1 + 0.2)
- CP = 0.9x/1.2
- CP = 0.75x
Given that the cost of the article is 450, we can equate the cost price to 450 and solve for 'x'.
0.75x = 450
x = 450/0.75
x = 600
Therefore, the marked price of the article is 600.
Final Answer:
The marked price of the article which costs 450 is 600. (Option A)
- The shopkeeper allows a discount of 10% to his customers.
- The shopkeeper still gains 20%.
To Find:
- The marked price of the article which costs 450.
Explanation:
Let's assume the marked price of the article is 'x'.
Step 1: Calculate the Selling Price (SP) after 10% discount:
- Selling Price (SP) = x - 10% of x
- SP = x - 0.1x
- SP = 0.9x
Step 2: Calculate the Cost Price (CP) after 20% gain:
- CP = SP/(1 + Gain %)
- CP = 0.9x/(1 + 20%)
- CP = 0.9x/(1 + 0.2)
- CP = 0.9x/1.2
- CP = 0.75x
Given that the cost of the article is 450, we can equate the cost price to 450 and solve for 'x'.
0.75x = 450
x = 450/0.75
x = 600
Therefore, the marked price of the article is 600.
Final Answer:
The marked price of the article which costs 450 is 600. (Option A)
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Community Answer
A shopkeeper allows a discount of 10% to his customers and still gains...
Let the marked price of the article be ₹ x.
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A shopkeeper allows a discount of 10% to his customers and still gains. 20%. Find the marked price of the article which costs 450. (SSC CGL 1st Sit. 2011)a) 600b) 540c) 660d) 580Correct answer is option 'A'. Can you explain this answer?
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