यदि नमक का मूल्य 20% कम हो जाता है, तो व्यय को समान रखने के लिए खपत में कितने प्रतिशत की वृद्धि की जानी चाहिए?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3)
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  1. 26%
  2. 27%
  3. 25%
  4. 24%

Answer (Detailed Solution Below)

Option 3 : 25%
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दिया गया है:

यदि नमक का मूल्य 20% कम हो जाता है,

गणना:

माना 100 इकाई नमक का वास्तविक मूल्य 100 रुपये है।

अब नमक की 100 इकाइयों का मूल्य = 100 - 100 × 20% = 80 रुपये

अब 100 रुपये में प्राप्त नमक की मात्रा = 100/80 × 100 = 125 ग्राम

अब, खपत में % वृद्धि = \(\frac {125 - 100}{100} \times 100\%\) = 25%

व्यय को समान रखने के लिए खपत में 25% की वृद्धि की जानी चाहिए।

Shortcut Trick नमक की कीमत 20% घट जाती है, पहले : बाद = 5 : 4

व्यय को समान बनाने के लिए, खपत पहले : बाद में = 4 : 5 होनी चाहिए

तो, खपत में 1/4 × 100 = 25% की वृद्धि हुई

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