Cost price of an article is Rs. A. and a shopkeeper marked that article B% above its cost price. He allows 25% discount on marked price and earned profit of Rs. (B+20). If the same article is marked up by (B+5) % and allows same discount and earned profit of Rs. (B+65), then which of the following is/are correct.
Question
Cost price of an article is Rs. A. and a shopkeeper marked that article B% above its cost price. He allows 25% discount on marked price and earned profit of Rs. (B+20). If the same article is marked up by (B+5) % and allows same discount and earned profit of Rs. (B+65), then which of the following is/are correct.
Solution
Let's break down the information given step by step:
- The cost price of the article is Rs. A.
- The shopkeeper marks the article B% above its cost price.
- The shopkeeper allows a 25% discount on the marked price.
- The shopkeeper earns a profit of Rs. (B+20).
Now, let's analyze the second scenario:
- The same article is marked up by (B+5)%.
- The shopkeeper allows the same 25% discount.
- The shopkeeper earns a profit of Rs. (B+65).
Based on this information, we need to determine which of the following statements are correct.
To solve this problem, we can use the following equations:
- Marked price = Cost price + (B% of Cost price)
- Selling price = Marked price - (25% of Marked price)
- Profit = Selling price - Cost price
For the first scenario, we have: Marked price = A + (B/100) * A Selling price = Marked price - (25/100) * Marked price Profit = Selling price - A
For the second scenario, we have: Marked price = A + ((B+5)/100) * A Selling price = Marked price - (25/100) * Marked price Profit = Selling price - A
Now, let's substitute the values and simplify the equations to find the correct statements.
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