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Ketan sold 151 chairs

Ketan sold 151 chairs and had a gain equal to the selling price of 51 chairs. What is his profit percentage?
केतन ने 151 कुर्सियाँ बेचीऔर उसे 51 कुर्सियों के विक्रय मूल्य के बराबर लाभ हुआ। उसका लाभ प्रतिशत कितना है?

56% 46% 61% 51%

Detailed Solution & Logic

Correct Answer:

51%

Let Cost Price (CP) of one chair = ₹1
Let Selling Price (SP) of one chair = ₹x
Total CP of 151 chairs = $151$
Gain = SP of 51 chairs = $51x$
Total SP of 151 chairs = $151x$
Profit = Total SP − Total CP
$151x - 151 = 51x$
$151x - 51x = 151$
$100x = 151$
$x = 1.51$
Profit per chair = $1.51 - 1 = 0.51$
Profit %
$= \frac{0.51}{1} \times 100 = 51%$
Answer = 51%