Question : A trader buys 20 kg of rice at Rs. 30 per kg and another 20 kg of a different variety of rice also at Rs. 30 per kg. He then mixes them and sells the mixture at Rs. 33 per kg. What is his percentage of profit?
Option 1: 10%
Option 2: 18%
Option 3: 20%
Option 4: 12%
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Correct Answer: 10%
Solution : Total cost = (Quantity of first variety × Cost per kg) + (Quantity of second variety × Cost per kg) ⇒ Total cost = (20 kg × Rs.30) + (20 kg × Rs.30) = Rs. 600 + Rs. 600 = Rs.1200 ⇒ Total selling price = (Total quantity × Selling price per kg) = (40 kg × Rs.33) = Rs.1320 ⇒ Profit = Total selling price − Total cost = Rs.1320 − Rs.1200 = Rs.120 Using the formula, Percentage of profit = $\frac{\text{Profit}}{\text{Total cost}}×100$ ⇒ Percentage of profit = $\frac{120}{1200}$ × 100 = 10% Hence, the correct answer is 10%.
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Question : The cost of two types of rice is Rs 60 per kg and Rs 84 per kg. If both the rice is mixed in the ratio of 1 : 1, then what should be the price of a mixed variety of rice per kg?
Option 1: Rs. 80 per kg
Option 2: Rs. 68 per kg
Option 3: Rs. 76 per kg
Option 4: Rs. 72 per kg
Question : A shopkeeper buys pencils from a wholesaler at Rs. 20 for 40 pencils. He sells those pencils at Rs. 20 for 20 pencils. What was his profit or loss percentage?
Option 1: 50% Profit
Option 2: 80% Loss
Option 3: 100% Profit
Option 4: 20% loss
Question : The ratio in which a man must mix rice at Rs. 10.20 per kg and Rs. 14.40 per kg to make a mixture worth Rs. 12.60 per kg, is:
Option 1: 4 : 3
Option 2: 2 : 5
Option 3: 18 : 24
Option 4: 3 : 4
Question : In what ratio must a grocer mix two varieties of sweets costing Rs. 30 and Rs. 20 per kg respectively to get a mixture worth Rs. 25 per kg?
Option 1: $2:3$
Option 2: $1:1$
Option 3: $5:4$
Option 4: $4:5$
Question : In what ratio rice of INR 20 per kg be mixed with rice of INR 34 per kg, so that the mixture is worth INR 28 per kg?
Option 1: 3 : 4
Option 2: 4 : 1
Option 3: 1 : 3
Option 4: 2 : 3
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