राम को अपनी राशि की 12\(\frac{1}{2}\)% हानि होती है और शेष का 75% खर्च करने के बाद, उसके पास 630 रुपये बचते हैं। राम के पास प्रारंभ में कितनी राशि थी?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. 2,080 रुपये
  2. 2,880 रुपये
  3. 2,205 रुपये
  4. 2,808 रुपये

Answer (Detailed Solution Below)

Option 2 : 2,880 रुपये
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दिया है: 

राम को अपनी राशि की 12\(\frac{1}{2}\)% हानि होती है और शेष का 75% खर्च करने के बाद, उसके पास 630 रुपये बचते हैं।

गणना:

माना राम के पास प्रारंभ में 100 रुपये हैं।

100a × 12\(\frac{1}{2}\)%

⇒ 12\(\frac{1}{2}\)a

इसलिए,

शेष राशि = 100a - 12.5a

⇒ 87.5a रुपये

87.5a × 25/100 = 630 रुपये

⇒ 87.5a = 630 × 4

⇒ 87.5a = 2520

⇒ a = 2520/87.5

⇒ a = 28.8

इसलिए, 100a = 2880

∴ सही उत्तर 2880 रुपये है।

Shortcut Trick

हम जानते हैं, 12 \(\frac{1}{2}\) % = 1/8 और 75% = 3/4,

  खर्च करने से पहले शेष राशि
12 \(\frac{1}{2}\) % हानि के बाद 8 7
75% खर्च करने के बाद 4 1
अंतिम 32 7

इसलिए, 7 इकाई → 630,

तो, 32 इकाई → 630/7 × 32 = 2880 रुपये

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