Question
Download Solution PDFपहिल्या 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले 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 →
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