Question : If the price of onion increases from INR 60 per kg to INR 75 per kg, then by what percentage should a household decrease the consumption of onion so that expenditure remains the same?
Option 1: 40%
Option 2: 25%
Option 3: 20%
Option 4: 30%
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Correct Answer: 20%
Solution : Let the household consume $a$ kgs of onion earlier and $b$ kgs of onion later. ⇒ The price paid by the household earlier = $60a$ ⇒ The price paid by the household now = $75b$ Since both prices should be the same, ⇒ $ 60a = 75b$ ⇒ $b = \frac{4a}{5}$ $\therefore$ Required percentage = $[\frac{(a-\frac{4a}{5})}{a}] × 100=\frac{100}{5}= 20\%$ Hence, the correct answer is 20%.
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Question : If the price is decreased by 25%, then by how much percentage of consumption should be increased, so that the expenditure remains the same?
Option 1: 20%
Option 2: 40%
Option 3: 37.5%
Option 4: 33.33%
Question : The price of onion increases by 12.5%. The consumption of onion also increases by 12.5%. What is the approximate percentage increase in the expenditure on account of the purchase of onions?
Option 1: 29.12%
Option 2: 24.82%
Option 3: 28.44%
Option 4: 26.56%
Question : A dishonest shopkeeper sells sugar at a rate of INR 45 per kg. The cost price of the sugar is INR 40 per kg. Even after doing this, he tries to increase his profit by removing 100 g from each packet of 1 kg. What is the gain percentage of the shopkeeper?
Option 1: 30%
Option 2: 35%
Option 4: 25%
Question : A helmet is sold for INR 1,650 at a profit of 10%. If the selling price is INR 2,100, then what will be the profit percentage?
Option 3: 40%
Option 4: 60%
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 4: 12%
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