Calculate the amount of sugar worth Rs. 9 per kg should be mixed with 36 kg of…
2023
Calculate the amount of sugar worth Rs. 9 per kg should be mixed with 36 kg of sugar costing Rs. 6 per kg to gain 20% and to sell this mixture at the price of Rs. 8.40 per kg.
Answer: C. 18 — Key idea: To gain 20% when selling at Rs 8.40 per kg, the cost price per kg must be 8.40 ÷ 1.2 = Rs 7. Let x be the kg of sugar costing Rs 9 per kg to be…
- A.
12
- B.
24
- C.
18
- D.
16
Attempted by 31 students.
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Correct answer: C
Key idea: To gain 20% when selling at Rs 8.40 per kg, the cost price per kg must be 8.40 ÷ 1.2 = Rs 7.
Let x be the kg of sugar costing Rs 9 per kg to be mixed with 36 kg costing Rs 6 per kg.
Total cost = 36 × 6 + 9x = 216 + 9x. Total weight = 36 + x.
Set average cost per kg = Rs 7: (216 + 9x)/(36 + x) = 7. Solve:
216 + 9x = 7(36 + x) = 252 + 7x ⇒ 2x = 36 ⇒ x = 18.
Answer: 18 kg