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The selling price of 30 articles is equal to the purchase price of 25 articles. Find the percentage of profit or loss.

1. 18% profit
2. 16 2/3% loss
3. 18% loss
4. 16 2/3% profit

30 वस्तुओं का विक्रय मूल्य 25 वस्तुओं के खरीद मूल्य के बराबर है। लाभ या हानि का प्रतिशत ज्ञात कीजिए।

1. 18% लाभ
2. 16 2/3% घाटा
3. 18% नुकसान
4. 16 2/3% मुनाफा
This Question came in
UGC-NET-PoliticalScience-15-June-2023-Shift-1-Q41
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Detailed Explanation & Answer
According to the problem, the selling price of 30 articles is equal to the purchase price of 25 articles. Mathematically, this can be represented as:
30SP = 25CP
Hence, SP = 25CP / 30 = 5CP/6

Now, profit or loss is given by the formula:
Profit or Loss= SP - CP
By putting SP Value in the above equation
Hence, Profit or Loss = 5CP/6 - CP
Profit or Loss = - 1/6 CP

It is a negative value which means it is a loss
which is 1/6th of CP
By converting 1/6 as a percentage
1/6 x 100 = 50 / 3 = 16 2/3 %
समस्या के अनुसार, 30 वस्तुओं का विक्रय मूल्य 25 वस्तुओं के खरीद मूल्य के बराबर है। गणितीय रूप से, इसे इस प्रकार दर्शाया जा सकता है:
30एसपी = 25सीपी
अतः, SP = 25CP/30 = 5CP/6

अब, लाभ या हानि सूत्र द्वारा दी गई है:
लाभ या हानि = एसपी - सीपी
उपरोक्त समीकरण में SP मान डालने पर
अतः, लाभ या हानि = 5CP/6 - CP
लाभ या हानि = - 1/6 सीपी

यह एक ऋणात्मक मान है जिसका अर्थ है कि यह हानि है
जो CP का 1/6वाँ भाग है
1/6 को प्रतिशत में परिवर्तित करके
1/6 x 100 = 50/3 = 16 2/3 %
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