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Question

A man bought mangoes at the rate of 8 mangoes for 12 rupees and sold them at the rate of 12 mangoes for 8 rupees. What is his profit/loss percentage?

एक आदमी ने 12 रु. में 8 आम की दर से आम खरीदे और 8 रु. में 12 आम की दर से उन्हें बेचा। लाभ/हानि का प्रतिशत क्या है?
  1. 55.5%
  2. 37.5%
  3. 45.5%
  4. 52.5%


Solution

The correct option is A 55.5%
Let the cost price and selling price of the mangoes be represented by CP and SP.
CP of 8 mangoes = Rs. 12
Therefore, CP of 1 mango = 128 = Rs 32 
Also, SP of 12 mangoes = Rs. 8
Therefore, SP of 1 mango = 812 = Rs 23
Therefore, loss percentage =  CPSPCP×100=[322332]×100=[94632]×100
56×23×100=59×100=55.5

माना कि आम के क्र.मू. एवं वि. मू. को क्रमशः CP एवं SP द्वारा दर्शाया जाता है।
8 आमों का क्र.मू. = 12 रु.
इसलिए, 1 आम क्र.मू. = 12832
साथ ही, 12 आम का वि. मू. = 8 रु.
इसलिए, 1 आम का वि. मू. =  81223 रु.
इसलिए, हानि का प्रतिशत = CPSPCP×100
[322332]×100=[94632]×100

59×100=55.5%
 

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