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2 shopkeepers A and B sell similar articles. Both the shopkeepers buy the articles at the rate of 60 articles for Rs.40. A sells the articles at 60 for Rs.50, whereas B marks up the price of each article by 50% and then offers a 20% discount. What is the ratio of the number of articles A has to sell and the number of articles B has to sell to obtain the same profit?
  • a)
    4:5
  • b)
    5:4
  • c)
    2:3
  • d)
    3:4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
2 shopkeepers A and B sell similar articles. Both the shopkeepers buy ...
CP for both A and B = 40/60  = 2/3 per article.
For A,
SP = 50/60 = 5/6 per article.
Hence profit = 1/6 per article.
Hence profit on 'a' articles = a/6.
For B,
MP = 1.5 X 2/3 = 1 per article
SP = 0.8MP = 4/5 per article.

Hence, profit on 'b' articles = 2b/15
Hence, 
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Most Upvoted Answer
2 shopkeepers A and B sell similar articles. Both the shopkeepers buy ...
Given:
Shopkeepers A and B buy 60 articles for Rs.40.
A sells 60 articles for Rs.50.
B marks up the price of each article by 50% and then offers a 20% discount.

To find:
The ratio of the number of articles A has to sell and the number of articles B has to sell to obtain the same profit.

Solution:
Let's assume that both A and B sell x number of articles.

Shopkeeper A:
Cost price of 1 article = Rs.40/60 = Rs.0.67
Selling price of 1 article = Rs.50/60 = Rs.0.83
Profit per article = Rs.0.83 - Rs.0.67 = Rs.0.16
Profit on x articles = Rs.0.16x

Shopkeeper B:
Marked up price of 1 article = Rs.0.67 + 50% of Rs.0.67 = Rs.1.005
Selling price of 1 article after discount = Rs.1.005 - 20% of Rs.1.005 = Rs.0.804
Profit per article = Rs.0.804 - Rs.0.67 = Rs.0.134
Profit on x articles = Rs.0.134x

To obtain the same profit, we have:
Profit of A = Profit of B
0.16x = 0.134x
x = 80/67

Therefore, the ratio of the number of articles A has to sell and the number of articles B has to sell to obtain the same profit is:
A:B = 60:x
A:B = 60:80/67
A:B = 4:5

Hence, the correct answer is option A (4:5).
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2 shopkeepers A and B sell similar articles. Both the shopkeepers buy the articles at the rate of 60 articles for Rs.40. A sells the articles at 60 for Rs.50, whereas B marks up the price of each article by 50% and then offers a 20% discount. What is the ratio of the number of articles A has to sell and the number of articles B has to sell to obtain the same profit?a)4:5b)5:4c)2:3d)3:4Correct answer is option 'A'. Can you explain this answer?
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