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UGC-NET-Paper1

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What is the exact equivalent discount of three successive discounts of 10%. 15% and 20% by sale of an article?

(1) 35.8%
(2) 38.5%
(3) 35.5%
(4) 38.8%

10% की तीन क्रमिक छूटों का सटीक समतुल्य छूट क्या है? किसी वस्तु की बिक्री पर 15% और 20%?

(1) 35.8%
(2) 38.5%
(3) 35.5%
(4) 38.8%
This Question came in
UGC-NET-04-December-2019-Shift-1-Q20
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Detailed Explanation & Answer
To calculate the equivalent discount of three successive discounts, we use the formula:

Equivalent discount = 1 - (1 - d1) * (1 - d2) * (1 - d3)

Where: d1 = 10% = 0.10, d2 = 15% = 0.15, d3 = 20% = 0.20.

Equivalent discount = 1 - (1 - 0.10) * (1 - 0.15) * (1 - 0.20) = 1 - (0.90) * (0.85) * (0.80) = 1 - 0.612 = 0.388.

Thus, the equivalent discount is 38.8%.
तीन क्रमिक छूटों के बराबर छूट की गणना करने के लिए, हम सूत्र का उपयोग करते हैं:

समतुल्य छूट = 1 - (1 - डी1) * (1 - डी2) * (1 - डी3)

कहाँ: d1 = 10% = 0.10, d2 = 15% = 0.15, d3 = 20% = 0.20।

समतुल्य छूट = 1 - (1 - 0.10) * (1 - 0.15) * (1 - 0.20) = 1 - (0.90) * (0.85) * (0.80) = 1 - 0.612 = 0.388।

इस प्रकार, समतुल्य छूट 38.8% है।
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