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The profit earned by selling an article for Rs.832 is equal to the loss incurred when the same article is sold for Rs.448. What should be the sale price for making 50% profit?
  • a)
    920
  • b)
    960
  • c)
    1060
  • d)
    1200
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The profit earned by selling an article for Rs.832 is equal to the lo...
832 – x = x – 448 so, 2x = 1280
x = 640
so, new SP with 50% profit = 960
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Most Upvoted Answer
The profit earned by selling an article for Rs.832 is equal to the lo...
Given:
Profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448.

To find:
The sale price for making a 50% profit.

Solution:
Let's assume the cost price of the article is Rs. x.

Profit earned by selling the article for Rs. 832:
Selling Price - Cost Price = Profit
832 - x = Profit

Loss incurred when the same article is sold for Rs. 448:
Cost Price - Selling Price = Loss
x - 448 = Loss

Given that the profit and loss are equal:
Profit = Loss
832 - x = x - 448

Simplifying the equation:
832 + 448 = 2x
1280 = 2x
x = 640

Therefore, the cost price of the article is Rs. 640.

Now, we need to find the sale price for making a 50% profit.
Profit% = (Profit / Cost Price) * 100
50 = (Profit / 640) * 100

Solving for Profit:
Profit = (50/100) * 640
Profit = 320

Sale Price = Cost Price + Profit
Sale Price = 640 + 320
Sale Price = 960

Therefore, the sale price for making a 50% profit should be Rs. 960. (Option B)
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The profit earned by selling an article for Rs.832 is equal to the loss incurred when the same article is sold for Rs.448. What should be the sale price for making 50% profit?a)920b)960c)1060d)1200Correct answer is option 'B'. Can you explain this answer?
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