A trader claims to sell vegetables at a profit of 57%, but also dishonestly uses a weight which is 13% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
A trader claims to sell vegetables at a profit of 57%, but also dishonestly uses a weight which is 13% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
एक व्यापारी 57% लाभ पर सब्जियाँ बेचने का दावा करता है, लेकिन बेईमानी से ऐसे बाट का उपयोग करता है जो उस पर उल्लिखित वजन से 13% कम है। व्यापारी द्वारा अर्जित कुल लाभ प्रतिशत ज्ञात कीजिए। (उत्तर को निकटतम पूर्ण संख्या में पूर्णांकित कीजिए।)
Detailed Solution & Logic
80%
Solution:
Assume marked weight = 1000 g
But actual weight given = 870 g (13% less)
Let cost price (CP) of 1000 g = ₹100
So, CP of 870 g:
$ = 100 \times \frac{870}{1000} = 87 $
Now, trader claims 57% profit ⇒ Selling Price (SP) of 1000 g:
$ = 100 + 57 = 157 $
So, he charges ₹157 for only 870 g
Actual Profit:
$ \text{Profit} = 157 - 87 = 70 $
Profit %:
$ \frac{70}{87} \times 100 \approx 80.46% $
Final Answer: 80% (approx.)
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