Multiple choice

Ankit has three varieties of rice costing 18 Rs/kg,25 Rs/kg and 36 Rs/kg, In what possible ratio he should mix these three varieties so that on selling whole mixture at 23.10 Rs/kg he may get a profit of 10%? अंकित के पास तीन किस्म के चावल हैं जिनका मूल्य क्रमशः 18 रुपये / किग्रा, 25 रुपये / किग्रा और 36 रुपये / किग्रा है ,उसे किस संभावित अनुपात में इन तीन किस्मों को मिलाना चाहिए ताकि पूरे मिश्रण को 23.10 रुपये / किग्रा पर बेचकर उसे 10 प्रतिशत का लाभ हो?

  1. 5 : 4 : 2

  2. 9 : 3 : 1

  3. 3 : 2 : 1

  4. 7 : 4 : 3

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling at Rs. 23.10 with 10% profit means cost price of mixture = 23.10/1.1 = Rs. 21/kg. Let quantities in ratio a:b:c for costs 18, 25, 36. Using allegation method: (18×a + 25×b + 36×c)/(a+b+c) = 21. Testing option B (9:3:1): Weighted average = (18×9 + 25×3 + 36×1)/(9+3+1) = (162 + 75 + 36)/13 = 273/13 = Rs. 21/kg. This matches the required cost price.

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