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Question

Sachin sold an article for Rs. 6,750 after giving a discount of 10% on the labelled price. He would have earned a profit of 50%, had there been no discount. What was the actual percentage of profit earned?

सचिन ने एक वस्तु को उसके अंकित मूल्य पर 10% की छूट देने के बाद 6,750 रु. में बेचा। यदि वह कोई छूट नहीं देता तो उसे 50% का लाभ होता। अर्जित लाभ का वास्तविक प्रतिशत क्या था?


Your Answer
A
36%
Your Answer
B
40%
Correct Answer
C
35%    
Your Answer
D
None of the above

इनमें से कोई नहीं

Solution

The correct option is C 35%    
Le the marked price of the article be Rs.
Discount = 10%
Then, the selling price = x - 10% of x = (9x/10)
Now, (9x/10) = 6750
Or x = Rs. 7,500
As per the question, if the selling price is Rs. 7,500, then the profit earned by the Sachin in 50%.
50% = (7500CPCP)×100
So, the cost price (CP) = Rs. 5,000
Therefore, the actual percentage of profit earned by selling the article for Rs. 6,750 = (Profit/CP) × 100 = (1750/5000) × 100 = 35%
Hence, option (c) is the correct answer.

माना कि वस्तु का अंकित मूल्य x रू. है।
छूट = 10%
तब, बिक्रय मूल्य = x – x का 10% = (9x/10)
अब, = (9x/10) = 6750
या x = Rs. 7,500
प्रश्नानुसार, यदि बिक्रय मूल्य 7,500 रु. है, तब सचिन द्वारा अर्जित लाभ 50% है।
इसलिए, लागत या क्रय मूल्य = Rs. 5,000
इसलिए, वस्तु को 6,750 रु. में बेचने पर लाभ का वस्तविक प्रतिशत = (लाभ/ क्रय मूल्य) x 100 = (1750/5000) × 100 = 35%
इसलिए, विकल्प (c) सही उत्तर है।
 

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