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A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on labelled price. Had he not given the discount, he would have earned a profit of 15% on the cost price. What was the cost price of the shirt?
  • a)
    Rs. 250
  • b)
    Rs. 260
  • c)
    Rs. 270
  • d)
    Rs. 290
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on lab...
Problem Analysis:

- A shirt is sold at Rs. 300.
- A discount of 10% is given on the labelled price.
- Had the discount not been given, a profit of 15% would have been earned on the cost price.
- We need to find the cost price of the shirt.

Let's assume that:

- The labelled price of the shirt = LP
- The cost price of the shirt = CP

Solution:

1. Calculation of labelled price after 10% discount:

- The selling price of the shirt after 10% discount = Rs. 300
- We know that the selling price (SP) = LP - Discount
- Therefore, LP - 10% of LP = Rs. 300
- Solving for LP, we get LP = Rs. 333.33 (approx.)

2. Calculation of profit percentage on cost price:

- Let's assume that the profit percentage on cost price without discount = P
- We know that profit percentage = (Profit / Cost Price) x 100
- Therefore, (LP x P/100) - CP = (15/100) x CP
- Substituting the value of LP from step 1, we get (333.33 x P/100) - CP = 0.15CP
- Solving for CP, we get CP = Rs. 290

Therefore, the cost price of the shirt is Rs. 290.

Answer: d) Rs. 290.
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A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on lab...
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A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on labelled price. Had he not given the discount, he would have earned a profit of 15% on the cost price. What was the cost price of the shirt?a)Rs. 250b)Rs. 260c)Rs. 270d)Rs. 290Correct answer is option 'D'. Can you explain this answer?
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A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on labelled price. Had he not given the discount, he would have earned a profit of 15% on the cost price. What was the cost price of the shirt?a)Rs. 250b)Rs. 260c)Rs. 270d)Rs. 290Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on labelled price. Had he not given the discount, he would have earned a profit of 15% on the cost price. What was the cost price of the shirt?a)Rs. 250b)Rs. 260c)Rs. 270d)Rs. 290Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sold a shirt at Rs. 300 after giving 10% discount on labelled price. Had he not given the discount, he would have earned a profit of 15% on the cost price. What was the cost price of the shirt?a)Rs. 250b)Rs. 260c)Rs. 270d)Rs. 290Correct answer is option 'D'. Can you explain this answer?.
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