Question: Profit earned by selling an article at 1060 is 20 % more than the loss incurred by selling the article for Rs. 950. Find the cost price of the article.

1. Rs 975
2. Rs. 1000
3. Rs. 1020
4. Rs. 1040
5. Rs. 1050

Correct Answer: (B)

Solutions and Explanation

Approach Solution 1 :

The profit can be calculated as, SP - CP
The loss can be calculated as, CP - SP
With the given information, we can evaluate as follows.

Profit = [(120) / (100) ] * Loss

=> 1060−CP = 1.2(CP−950)
=> 1060−CP = 1.2CP−1140
=> 2200 = 2.2CP
=> 1000 = CP

Therefore, 1000 is the cost price of the article

Approach Solution 2 :

Consider the price of the article as x.

Now we can write that 1060-x = 20%+cos
cos = x-950
20% = (x-950) / 5

Therefore 1060 - x = [(x-950)] / 5 + (x-950)

=> 1060 - x = (6/5) * (x-950)
=> 5300−5x = 6x−5700
=> 11x = 11000

As a result, x which is the cost price of the article is 1000.

“Profit earned by selling an article at 1060 is 20 % more than the loss” - is a subject that the GMAT quantitative reasoning section covers. A school needs to be proficient in a variety of qualitative skills to answer the GMAT Problem Solving questions correctly. There are 31 questions in the GMAT Quant section as a whole. The GMAT Quant topics' problem-solving section calls for the resolution of calculative mathematical puzzles.

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