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Rafael spent his pocket money of $150 to buy three different articles A, B and C from the same shopkeeper. Rafael used 30 percent of his pocket money to buy article A, which was discounted by 10 percent, 30 percent of his pocket money to buy article B, which was discounted by 25 percent and the rest of the money to buy article C, which was discounted by 50 percent. If articles A, B and C were marked up by 25 percent, 100 percent and 140 percent respectively, what was the percentage profit made by the shopkeeper on selling the articles?
  • a)
    20%
  • b)
    25%
  • c)
    30%
  • d)
    33%
  • e)
    40%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Rafael spent his pocket money of $150 to buy three different articles ...
Given:
  • Money available with Rafael = $150
  • Rafael buys 3 items A, B and C, from the same shopkeeper, the details of
  • which are as below:
To Find: Profit % of the shopkeeper on selling the articles A, B and C.
  • Now, we know that Profit% = 
    • Total Profit = Profit made on Article A + Profit made on article B + Profit made on article C
    • Total Cost Price = Cost Price of Article A + Cost Price of article B + Cost Price of article C
  • So, we need to find the profit made on each article and the cost price of- each article.
Approach:
  1. To Find the profit made on each article, we need to find the following:
    • Selling price of the article = Amount spent by Rafael on buying the article
    • Cost Price of the article
i) We are given the selling price, the discount% and the mark-up% of the articles. We will use this information to find the cost price of each article.
x. So, we can find the Marked Price using the above relation
After calculating the selling price and cost price of an article, we can calculate the profit made on the article using the relation Profit = Selling Price – Cost Price
 
Working out:
Article A :
Article B :
4. Profit = $45 - $30 = $15
 
Article C :
Total Profit made by the shopkeeper on the articles = $5 +$15 +$10 = $30
Total Cost price of the articles = $40 + $30 + $50 = $120
Answer : B
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Rafael spent his pocket money of $150 to buy three different articles A, B and C from the same shopkeeper. Rafael used 30 percent of his pocket money to buy article A, which was discounted by 10 percent, 30 percent of his pocket money to buy article B, which was discounted by 25 percent and the rest of the money to buy article C, which was discounted by 50 percent. If articles A, B and C were marked up by 25 percent, 100 percent and 140 percent respectively, what was the percentage profit made by the shopkeeper on selling the articles?a)20%b)25%c)30%d)33%e)40%Correct answer is option 'B'. Can you explain this answer?
Question Description
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