1050 रुपये P, Q और R के बीच में बाँटे गए हैं। P का हिस्सा, Q और R के संयुक्त हिस्सेदारी का \(\frac{2}{5}\) है। P का हिस्सा कितना है?

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 305 रुपये
  2. 298 रुपये
  3. 325 रुपये
  4. 300 रुपये

Answer (Detailed Solution Below)

Option 4 : 300 रुपये
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दिया गया है:

1050 रुपये को P, Q और R में विभाजित किया गया है।

P का हिस्सा, Q और R के संयुक्त हिस्से का (2/5) है।

प्रयुक्त सूत्र:

P = (2/5) × (Q + R)

कुल राशि = P + Q + R = 1050

गणना:

मान लीजिए Q + R = x

P = (2/5) × x

कुल राशि = P + x = 1050

⇒ (2/5) × x + x = 1050

⇒ (2x/5) + x = 1050

⇒ (2x + 5x)/5 = 1050

⇒ 7x/5 = 1050

⇒ 7x = 1050 × 5

⇒ 7x = 5250

⇒ x = 5250 / 7

⇒ x = 750

इसलिए, Q + R = 750

⇒ P = (2/5) × 750

⇒ P = 2 × 150

⇒ P = 300

∴ सही उत्तर विकल्प (4) है।

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