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CAT Questions – Profit Loss and Discount [VIDEO Solutions]

QUESTION 1
A fruit seller has certain number of apples with him. He sells 1/3rd of apples at Rs. 23 per apple and rest of 2/3rd of the apples at Rs. 20 per apple, thereby he makes 40% profit over all. Find the cost price (in Rs.) of an apple.
Answer: 15
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QUESTION 2
A shopkeeper buys an article at 40% off the list price. He marks the article so that after giving a discount of $33\cfrac{1}{3}\% $ he still makes a profit of 20% of the marked price. What is the ratio of list price to the marked price?
  1. $\cfrac{5}{7}$
  2. $\cfrac{2}{3}$
  3. $\cfrac{7}{9}$
  4. $\cfrac{8}{9}$
Option: 3
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QUESTION 3
A shopkeeper sells an article at Rs. 300 and incurs a 20 % loss. At what price (in Rs) should he mark the article so that after allowing a discount of 20%, he earns a 20% profit?
  1. 500
  2. 552.5
  3. 562.5
  4. 575
Option: 3
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QUESTION 4
A shopkeeper gives successive discounts of 10% and Rs. 180 respectively on purchase of an article. The buyer realizes that he gets overall discount of 28%. Find the selling price of the article?
  1. 700
  2. 720
  3. 800
  4. 1000
Option: 2
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QUESTION 5
A trader marked an article 36% above its cost price and then gave a discount of 10% on it. If the trader made a net profit of 119 after paying a tax of 15% on the gross profit, find the cost price (in Rs) of the article
Answer: 625
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