Question : A grocer claims that he is selling sugar at Rs. 48/kg, which costs him Rs. 50/kg, but he is giving 900 g instead of 1000 g. What will be the approximate percentage profit?
Option 1: 7.5%
Option 2: 5.5%
Option 3: 8.5%
Option 4: 6.7%
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Correct Answer: 6.7%
Solution : The rate at which the shopkeeper bought the sugar packet = Rs. 50/ kg The rate at which the shopkeeper sold the sugar packet = Rs. 48/ kg Weight of sugar packet he claims to sell = 1000 g = 1 kg Actual weight of sugar packet = 900 g = 0.9 kg Selling Price (SP) of one packet according to 1 kg of weight, $SP$ = Rs. 48 Cost Price (CP) of 0.9 kg sugar packet, CP = 50 × 0.9 = Rs. 45 Profit percentage = $\frac{SP-CP}{CP}\times 100$ = $\frac{48-45}{45}\times 100$ = $6.7$% Hence, the correct answer is 6.7%.
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Question : Ramesh claims that he is selling onions at Rs. 36 per kg, which costs him Rs. 40 per kg, but he gives 800 grams instead of 1 kg. Find Ramesh’s percentage of gain or loss.
Option 1: Gain 13.5%
Option 2: Loss 13.5%
Option 3: Loss 12.5%
Option 4: Gain 12.5%
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 : Due to a price hike of 20%, 4 kg less sugar is available for Rs. 120. What is the initial price per kg of sugar?
Option 1: Rs. 5 per kg
Option 2: Rs. 4 per kg
Option 3: Rs. 6 per kg
Option 4: Rs. 5.5 per kg
Question : If sugar costs Rs. 12 per kg and Rs. 7 per kg, what proportion must a grocer mix them in to make a mixture worth Rs. 8 per kg?
Option 1: 7 : 12
Option 2: 1 : 4
Option 3: 2 : 3
Option 4: 12 : 7
Question : In what ratio should sugar at Rs. 30 per kg be mixed with sugar at Rs. 45 per kg so that, on selling the mixture at Rs. 42 per kg, there is a profit of 20%?
Option 1: 2 : 1
Option 2: 2 : 3
Option 3: 5 : 2
Option 4: 3 : 7
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