Read the Question carefully and choose the correct option.
Three successive discounts of 15 %, 20 % and 40 % on the marked price of an item are equivalent to a single discount of:
(1) 75%
(2) 40.8%
(3) 59.2%
(4) 67.5%
किसी वस्तु के अंकित मूल्य पर 15%, 20% और 40% की तीन क्रमिक छूट एक एकल छूट के बराबर हैं
(1) 75%
(2) 40.8%
(3) 59.2%
(4) 67.5%
This Question came in
UGC-NET-PolSci-04-September-2024-Shift-2-Q31
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Detailed Explanation & Answer
Assume the marked price (MP) is 100 for easy calculation.
Apply the successive discounts:
First discount of 15%: Price after discount = 100 - (15% of 100) = 100 - 15 = 85.
Second discount of 20%: Price after discount = 85 - (20% of 85) = 85 - 17 = 68.
Third discount of 40%: Price after discount = 68 - (40% of 68) = 68 - 27.2 = 40.8.
Price after all discounts is 40.8.
Single discount = (Marked Price - Final Price) / Marked Price × 100
Single discount = (100 - 40.8) / 100 × 100 = 59.2%.
आसान गणना के लिए मान लें कि अंकित मूल्य (एमपी) 100 है।
क्रमिक छूट लागू करें:
15% की पहली छूट: छूट के बाद कीमत = 100 - (100 का 15%) = 100 - 15 = 85।
20% की दूसरी छूट: छूट के बाद कीमत = 85 - (85 का 20%) = 85 - 17 = 68.
40% की तीसरी छूट: छूट के बाद कीमत = 68 - (68 का 40%) = 68 - 27.2 = 40.8.
सभी छूटों के बाद कीमत 40.8 है।
एकल छूट = (अंकित मूल्य - अंतिम मूल्य) / अंकित मूल्य × 100
एकल छूट = (100 - 40.8) / 100 × 100 = 59.2%।
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