एका इष्टिकाचितीची लांबी आणि रुंदी अनुक्रमे 20% आणि 25% ने वाढली आहे, तसेच त्याची उंची 30% ने कमी केली आहे. तर इष्टिकाचितीच्या घनफळात एकूण टक्केवारीतील वाढ/कमी किती असावी?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. 5% ने वाढ
  2. 3% ने वाढ
  3. 2% ने वाढ
  4. 4% ने वाढ

Answer (Detailed Solution Below)

Option 1 : 5% ने वाढ
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गणना:

समजा लांबी, रुंदी आणि उंचीची प्रारंभिक मूल्ये 100, 100 आणि 100 ही आहेत 

नंतर बदल केल्यानंतर,

लांबी = 120

रुंदी = 125

आणि उंची = 70

आता, प्रारंभिक घनफळ = 1000000

आणि अंतिम घनफळ

= 120 × 125 × 70

= 1050000

आता, टक्केवारी बदला

= (1050000 - 1000000) × 100/1000000

= 50000 × 100/1000000

= 5%

म्हणून, आवश्यक मूल्य 5% आहे.

Shortcut Trick

  आधी नंतर
लांबी 20% ने वाढली 5 6
रुंदी 25% ने वाढली 4 5
उंची 30% ने कमी झाली 10 7
घनफळ 200 210
  

वाढलेले घनफळ% = 10/200 × 100 = 5%

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