किसी वस्तु का क्रय मूल्य 10% कम किया जाता है और फिर 20% की वृद्धि की जाती है। यदि अंतिम मूल्य ₹540 है, तो मूल क्रय मूल्य ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. ₹500
  2. ₹650
  3. ₹550
  4. ₹600

Answer (Detailed Solution Below)

Option 1 : ₹500
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दिया गया है:

क्रय मूल्य (C.P) में पहले 10% की कमी की जाती है।

क्रय मूल्य (C.P) में फिर से 20% की वृद्धि की जाती है

अंतिम मूल्य = 540 रुपये

गणना:

मान लीजिए C.P = 100x 

कमी के बाद क्रय मूल्य = 100x × (100 -10)% = 90x

वृद्धि के बाद क्रय मूल्य = 90x × (100 + 20)% = 108x

प्रश्नानुसार:

⇒ 108x = 540

⇒ x = 540/108 = 5

⇒ 100x = 5 × 100 = 500 रुपये

∴ सही उत्तर 500 है।

Alternate Methodगणना:

वृद्धि/कमी क्रय मूल्य नया क्रय मूल्य
(- 10%) 10 9
(+20%) 5 6
अंतिम 50 54

अब, 

⇒ 54 इकाई = 540 रुपये

⇒ 1 इकाई = 540/54 = 10 रुपये

⇒ मूल क्रय मूल्य = 50 इकाई = 50 × 10 = 500 रुपये

∴ सही उत्तर 500 रुपये है।

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