Question
Download Solution PDFएक बर्तन तरल से भरा हुआ है, जिसमें से 5 भाग पानी और 11 भाग सिरप है। मिश्रण का कितना भाग निकालकर पानी से बदला जाना चाहिए ताकि मिश्रण में सिरप और पानी का अनुपात 3 : 2 हो जाए?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक बर्तन तरल से भरा है, जिसमें से 5 भाग पानी और 11 भाग सिरप है।
व्याख्या:
माना प्रारंभ में मिश्रण 80 लीटर है।
पानी = 80 × 5/16 = 25 लीटर
सिरप = 80 × 11/16 = 55 लीटर
माना मिश्रण में से 16x भाग निकाला गया है।
प्रश्नानुसार,
बदलने के बाद, मिश्रण में पानी और सिरप की मात्रा,
(25 - 5x + 16x)/(55 - 11x) = 2/3
⇒ 75 + 33x = 110 - 22x
⇒ 55x = 35
⇒ x = 7/11
⇒ 16x → 7/11 × 16 = 112/11
⇒ (112/11)/80
= 7/55
सही उत्तर 7/55 है।
Shortcut Trick
⇒ प्रतिस्थापित मिश्रण का हिस्सा = 7/(22 + 33) = 7/55
सही उत्तर 7/55 है।
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