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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)
    Rs.920
  • b)
    Rs.960
  • c)
    Rs.1060
  • d)
    Rs.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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The profit earned by selling an article for Rs.832 is equal to the lo...
Profit and Loss Calculation:

Let's assume the cost price of the article is C.

Given that the profit earned by selling the article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448.

Profit = Selling Price - Cost Price
Loss = Cost Price - Selling Price

According to the given information:
832 - C = C - 448

Solving the above equation:
832 + 448 = 2C
C = (832 + 448) / 2
C = 1280 / 2
C = Rs. 640

Therefore, the cost price (C) of the article is Rs. 640.

Calculating the Sale Price for 50% Profit:

Let's assume the sale price for making a 50% profit is S.

Profit = Selling Price - Cost Price

According to the question, we need to find the sale price that will result in a 50% profit.

Profit = 50% of Cost Price = (50/100) * 640 = Rs. 320

Therefore, the selling price should be the cost price plus the profit.

S = C + Profit
S = 640 + 320
S = Rs. 960

Hence, the sale price for making a 50% profit is Rs. 960.
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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)Rs.920b)Rs.960c)Rs.1060d)Rs.1200Correct answer is option 'B'. Can you explain this answer?
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