एक निश्चित बिल पर 25% की एकल छूट तथा 15% और 10% की दो क्रमागत छूटों के बीच का अंतर 25 रुपये था बिल की राशि ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. 3,333.33 रुपये
  2. 2,500 रुपये
  3. 833.33 रूपये
  4. 1,666.67 रुपये

Answer (Detailed Solution Below)

Option 4 : 1,666.67 रुपये
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Detailed Solution

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दिया गया है:

एकल छूट = 25%

क्रमागत छूट = 15% और 10%

अंतर = 25 रुपये

गणना:

माना कि बिल की राशि 100x रुपये है।

स्थिति 1:

100x पर 25% की छूट = 25x छूट

छूट के बाद मूल्य = 100x - 25x

75x

स्थिति 2:

100x पर 15% की छूट = 15x

छूट के बाद मूल्य = 100x - 15x

⇒ 85x

85x पर 10% की दूसरी छूट = 8.5x

दूसरी छूट के बाद मूल्य = 85x - 8.5x

⇒ 76.5x

प्रश्नानुसार,

76.5x - 75x = 25

⇒ 1.5x = 25

⇒ x = 25/1.5

⇒ x = 16.6667 

⇒ 100x = 1666.67 रुपये

∴ बिल की राशि 1,666.67 रुपये है।

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