पहिल्या वर्षी एका शाळेची पटसंख्या 12% ने वाढली, दुसऱ्या वर्षी ती 12% कमी झाली आणि तिसऱ्या वर्षी 10% नी वाढली. तिसर्या वर्षाच्या शेवटी तिची पटसंख्या जवळपास 10842 होती. पहिल्या वर्षाच्या सुरुवातीला तिची  पटसंख्या किती होती?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3)
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  1. 8000
  2. 10000
  3. 6500
  4. 12000

Answer (Detailed Solution Below)

Option 2 : 10000
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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दिलेले आहे:

पहिल्या वर्षात शाळेची पटसंख्या 12% ने वाढली

दुसर्‍या वर्षी 12% कमी होते आणि तिसर्‍या वर्षी 10% ने वाढते.

तिसर्‍या वर्षाच्या शेवटी पटसंख्या जवळपास 10842 आहे.

गणना:

सुरुवातीची पटसंख्या x समजूया.

1 ल्या वर्षानंतर, पटसंख्या

⇒ x × (1 + 12/100) = x × 1.12

2 र्‍या वर्षानंतर, पटसंख्या

⇒ x × 1.12 × (1 - 12/100) = x × 1.12 × 0.88

3 र्‍या वर्षानंतर, पटसंख्या,

⇒ x × 1.12 × 0.88 × (1 + 10/100)

⇒ x × 1.12 × 0.88 × 1.10

आपल्याला माहित आहे की 3 र्‍या वर्षानंतर, पटसंख्या 10842 आहे.

⇒ x × 1.12 × 0.88 × 1.10 = 10842

⇒ x = 10842 / (1.12 × 0.88 × 1.10)

⇒ x = 10842 / 1.08384

⇒ x ≈ 10000

∴ पहिल्या वर्षाच्या सुरुवातीला शाळेची पटसंख्या जवळपास 10000 होती.

Shortcut Trick

  आधी नंतर
पहिले वर्ष 25 28
दुसरे वर्ष 25 22
तिसरे वर्ष 10 11
एकुण 6250 6776

आता, 6776 एकक → 10842,

तर 6250 एकक → = 10000

 

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