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UGC-NET-Paper1

Maths

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When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%. What would be his profit if the commission is reduced by 24%?

(1) 36.6%
(2) 49.6%
(3) 59.6%
(4) 45.6%

जब कोई उत्पादक अपने उत्पाद के खुदरा मूल्य पर 36% कमीशन देता है, तो उसे 8.8% का लाभ होता है। यदि कमीशन 24% कम कर दिया जाए, तो उसका लाभ कितना होगा?

(1) 36.6%
(2) 49.6%
(3) 59.6%
(4) 45.6%
This Question came in
UGC-NET-ComSci-26-June-2025-Shift-1-Q35
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Detailed Explanation & Answer
Suppose, retail price = 100

Given, Commission = 36% on the retail price
It means commission = 100 x 36% = 36

Then, SP = 100 - 36 = 64
Given, profit = 8.8%
Hence, CP = 64 x 100 / 108.8 = 58.82

If the commission is reduced by 24%
It means new commission = 36 - 24 = 12%

Now,
Retail price = 100

New Commission = 12% on the retail price
It means new commission = 100 x 12% = 12
¯
Then, New SP = 100 - 12 = 88
We know CP= 58.82
Then total profit = 88 - 58.82 = 29.18
Total profit % = 29.18 x 100 / 58.82 = 49.6
मान लीजिए, खुदरा मूल्य = 100

दिया गया है, कमीशन = खुदरा मूल्य पर 36%
इसका अर्थ है कमीशन = 100 x 36% = 36

तो, विक्रय मूल्य = 100 - 36 = 64
दिया गया है, लाभ = 8.8%
अतः, क्रय मूल्य = 64 x 100 / 108.8 = 58.82

यदि कमीशन में 24% की कमी की जाती है, तो
इसका अर्थ है नया कमीशन = 36 - 24 = 12%

अब,
खुदरा मूल्य = 100

नया कमीशन = खुदरा मूल्य पर 12%
इसका अर्थ है नया कमीशन = 100 x 12% = 12
¯
तो, नया विक्रय मूल्य = 100 - 12 = 88
हम जानते हैं कि क्रय मूल्य = 58.82
तो कुल लाभ = 88 - 58.82 = 29.18
कुल लाभ % = 29.18 x 100 / 58.82 = 49.6
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