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UGC-NET-Paper1

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Three successive discounts of 10% 20% and 30% on the marked price of an item are equivalent to a single discount of

1. 60%
2. 50.4%
3. 54.6%
4. 49.6%

किसी वस्तु के अंकित मूल्य पर 10% 20% और 30% की तीन क्रमिक छूट एक एकल छूट के बराबर हैं

1. 60%
2. 50.4%
3. 54.6%
4. 49.6%
This Question came in
UGC-NET-English-21-August-2024-Shift-2-Q44
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Detailed Explanation & Answer
Let the marked price (MP) be 100 (for easy calculation).

Apply the first discount of 10%:
Price after first discount = 100 - (10% of 100) = 100 - 10 = 90

After 20% discount on the new price:
Price after second discount = 90 - (20% of 90) = 90 - 18 = 72

After 30% discount on the new price:
Price after third discount = 72 - (30% of 72) = 72 - 21.6 = 50.4

The original price was 100, and the final price after all discounts is 50.4.
Total discount = 100 - 50.4 = 49.6.

Equivalent single discount = (49.6 / 100) × 100 = 49.6%.
माना कि अंकित मूल्य (एमपी) 100 है (आसान गणना के लिए)।

10% की पहली छूट लागू करें:
पहली छूट के बाद कीमत = 100 - (100 का 10%) = 100 - 10 = 90

नई कीमत पर 20% छूट के बाद:
दूसरी छूट के बाद कीमत = 90 - (90 का 20%) = 90 - 18 = 72

नई कीमत पर 30% छूट के बाद:
तीसरी छूट के बाद कीमत = 72 - (72 का 30%) = 72 - 21.6 = 50.4

मूल कीमत 100 थी, और सभी छूटों के बाद अंतिम कीमत 50.4 है।
कुल छूट = 100 - 50.4 = 49.6.

समतुल्य एकल छूट = (49.6 / 100) × 100 = 49.6%।
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