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Question

Q22. If the cost price of 20 pens is equal to the selling price of 15 pens, what is the profit in percentage?

यदि 20 कलम का लागत मूल्य 15 कलम के विक्रय मूल्य के बराबर है, तो % लाभ कितना है?


A

25%

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B

33.33%

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C

33.67%

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D

75%

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Solution

The correct option is B

33.33%


Method I:

5 pens are gained on selling 15 pens.

Profit %= 5/15*100= 33.33 %

Method II:

Let the CP of one pen be Rs. x.

Now, SP of 15 pen = CP of 20 pen = 20x

Total CP of 15 pen = 15x

Hence, profit = [(SP – CP)/CP] × 100 = [(20x – 15x)/15x] × 100 = 100/3 = 33.33%

विधि 1 :

15 पेनों को बेचने पर 5 पेन मिलते है।

लाभ प्रतिशत = 5/15×100=33.33 प्रतिशत

विधि 2:

माना कि एक पेन का क्र.मू. X रू. है।

अब, 15 पेन का वि.मू. = 20 पेन का लागत मूल्य = 20x

15 पेन का कुल लागत मूल्य = 15x

इस प्रकार, लाभ = [(SP – CP)/CP] × 100 = [(20x – 15x)/15x] × 100 = 100/3 = 33.33 प्रतिशत


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