Question : Two blends of a commodity, costing Rs. 35 and Rs. 40 per kg, respectively, are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining, at the rate of Rs. 55 per kg, the profit percentage is:
Option 1: 50
Option 2: 30
Option 3: 40
Option 4: 20
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Correct Answer: 40
Solution : Given: Two blends of a commodity costing Rs. 35 and Rs. 40 per kg are mixed in the ratio 2 : 3 by weight. Let the first blend be 2 kg and the second blend be 3 kg. Total cost price = $(35×2)+(40×3)$ = $70+120$ = $190$ One-fifth of the mixture is sold at Rs. 46 per kg and the rest at Rs. 55 per kg. So, the total selling price = $(1 × 46) + (4×55)$ = $266$ Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$ = $\frac{266-190}{190}×100$ = $\frac{76}{190}×100$ = $40\%$ Hence, the correct answer is 40.
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Question : In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg to earn a profit of 20% by selling the mixture at Rs. 54 per kg?
Option 1: 3 : 5
Option 2: 4 : 7
Option 3: 5 : 8
Option 4: 2 : 3
Question : Two types of tea, costing Rs.180 per kg and Rs. 280 per kg, should be mixed in a ratio so that the mixture obtained, sold at Rs. 320 per kg to earn a profit of 20%, is:
Option 1: 3 : 13
Option 2: 1 : 13
Option 3: 4 : 13
Option 4: 2 : 13
Question : Sourav purchased 30 kg of rice at the rate of Rs. 10 per kg and 35 kg at the rate of Rs. 11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction?
Option 1: 12.5
Option 2: 13
Option 3: 13.7
Option 4: 14.25
Question : If coffee powder costing Rs. 2500 per kg is mixed with coffee powder costing Rs. 1500 per kg, what ratio should be used so that the resulting mixture costs Rs. 2250 per kg?
Option 1: 1 : 4
Option 2: 4 : 1
Option 3: 3 : 1
Option 4: 1 : 3
Question : A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. He mixed all three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:
Option 1: 8.8
Option 2: 12.5
Option 3: 10.5
Option 4: 9.2
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