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% = (7500−CPCP)×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।