A man sold an article at a loss of 20%. If he sells the article for Rs. 12…
2023
A man sold an article at a loss of 20%. If he sells the article for Rs. 12 more, he would have gained 10%. The cost price of an article is :
- A.
Rs. 22
- B.
Rs. 30
- C.
Rs. 36
- D.
Rs. 40
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Correct answer: D
Let the cost price of the article be Rs. x.
When sold at a loss of 20%, the selling price is 80% of x, i.e., 0.8x.
When sold at a gain of 10%, the selling price is 110% of x, i.e., 1.1x.
The difference between the two selling prices is Rs. 12.
So, 1.1x - 0.8x = 12
0.3x = 12
x = 12 / 0.3 = 40
Therefore, the cost price of the article is Rs. 40.
हिन्दी उत्तर:
माना वस्तु का क्रय मूल्य x रुपये है।
20% हानि पर बेचने पर विक्रय मूल्य 0.8x होगा।
10% लाभ पर बेचने पर विक्रय मूल्य 1.1x होगा।
दोनों विक्रय मूल्यों का अंतर 12 रुपये है।
इसलिए, 1.1x - 0.8x = 12
0.3x = 12
x = 12 / 0.3 = 40
इसलिए, वस्तु का क्रय मूल्य 40 रुपये है।