बासबच्या मालकीच्या भूखंडाच्या क्षेत्रफळापेक्षा 10% अधिक क्षेत्रफळ असलेला भूखंड तरुणाकडे होता, तर नकुलच्या मालकीच्या भूखंडाचे क्षेत्रफळ तरुणाच्या मालकीच्या भूखंडाच्या क्षेत्रफळापेक्षा 40% जास्त होते. नकुलच्या मालकीच्या भूखंडाचे क्षेत्रफळ 2695 चौरस फूट असल्यास, बासबच्या मालकीच्या भूखंडाचे क्षेत्रफळ (चौरस फूट) किती होते?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 4)
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  1. 1750
  2. 1740
  3. 1780
  4. 1800

Answer (Detailed Solution Below)

Option 1 : 1750
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Detailed Solution

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दिलेले आहे:

तरुणचा भूखंड= 110% x बासबचा भूखंड

नकुलचा भूखंड= 140% x तरुणचा भूखंड

नकुलच्या भूखंडाचे क्षेत्रफळ = 2695 फूट2

गणना:

तरुणचा भूखंड: बासबचा भूखंड= 110 : 100 = 11 : 10

नकुलचा भूखंड: तरुणचा भूखंड= 140 : 100 = 7 : 5

तरुणचा भूखंड तसाच असावा

तरुणचा भूखंड: बासब भूखंड=(11 : 10) × 5 = 55 : 50

नकुलचा भूखंड : तरुणचा भूखंड= (7 : 5) × 11 = 77 : 55

तरुणचा भूखंड: बासबचा भूखंड: नकुलचा भूखंड= 55 : 50 : 77

आता, 77 युनिट = 2695 फूट2

⇒ बासबचा भूखंड= 50 एकक= (2695 × 50)/77

⇒ बासबचा भूखंड= 35 x 50 = 1750 फूट2

∴ योग्य उत्तर 1750 फूट2 आहे.

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