850 ग्रॅम मधाच्या द्रावणात 40% मध असते. 50% द्रावण तयार करण्यासाठी किती मध घालावे?

This question was previously asked in
RPF SI CBT-I 2024 Official Paper (Held On: 13 Dec, 2024 Shift 3)
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  1. 90 ग्रॅम
  2. 141 ग्रॅम
  3. 170 ग्रॅम
  4. 212 ग्रॅम

Answer (Detailed Solution Below)

Option 3 : 170 ग्रॅम
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Detailed Solution

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वापरलेले सूत्र:

नवीन मध टक्केवारीचे सूत्र:

(नवीन मधाचे प्रमाण) / (नवीन एकूण द्रावण) = 50%

गणना:

एकूण द्रावण = 850 ग्रॅम

मधाची टक्केवारी = 40%

वास्तविक मध उपस्थित = (850 चे 40%) = (850 × 40) / 100 = 340 ग्रॅम

ते 50% मध द्रावण करण्यासाठी x ग्रॅम मध घालावे लागेल.

⇒ (340 + x) / (850 + x) = 50 / 100

तिरकस गुणाकार:

⇒ (340 + x) × 100 = 50 × (850 + x)

⇒ 34000 + 100x = 42500 + 50x

⇒ 100x - 50x = 42500 - 34000

⇒ 50x = 8500

⇒ x = 8500 / 50 = 170

अंतिम उत्तर:

द्रावणात 50% मध होण्यासाठी 170 ग्रॅम मध घालावे.

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