RRB Technician Grade 3 practice question
3 cups and 5 plates cost ₹310, while 6 cups and 3 plates cost ₹522. What is the cost of 3 cups and 2 plates?
From a RRB Technician Grade 3 Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) ₹268
Let one cup cost ₹x and one plate ₹y: 3x + 5y = 310 and 6x + 3y = 522. Eliminate one variable: multiply the first equation by 6 and the second by 3 and subtract ⇒ (30 − 9)y = 1860 − 1566 ⇒ y = 14; then x = (310 − 5 × 14)/3 = 80. Required cost = 3 × 80 + 2 × 14 = ₹268.
हिंदी में प्रश्न
3 कप और 5 प्लेटें का मूल्य ₹310 है, जबकि 6 कप और 3 प्लेटें का मूल्य ₹522 है। 3 कप और 2 प्लेटें का मूल्य क्या है?
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सही उत्तर: (A) ₹268
माना एक कप का मूल्य ₹x और एक प्लेटें का ₹y: 3x + 5y = 310 और 6x + 3y = 522। एक चर हटाएँ: पहले समीकरण को 6 से और दूसरे को 3 से गुणा करके घटाएँ ⇒ (30 − 9)y = 1860 − 1566 ⇒ y = 14; फिर x = (310 − 5 × 14)/3 = 80। अभीष्ट मूल्य = 3 × 80 + 2 × 14 = ₹268।
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