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A spends Rs. 56,000 to purchase a certain number of laptops. The price of one laptop is Rs. 2,000. If the price of a laptop rises by 75%. Then find how many laptops should be purchased less so that the expenditure should remain constant.1. 102. 123. 254. 15 |
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Answer» Correct Answer - Option 2 : 12 Given: The total amount which spends by A = Rs. 56,000 Price of one laptop = Rs. 2,000 Price increase = 75% Concepts used: Expenditure = Price × Quantity Calculation: The initial quantity of laptops purchased by the individual at price Rs.2000 per unit is - Price × Quantity = Expenditure ⇒ Rs. 2,000 × Quantity = Rs. 56,000 ⇒ Quantity = Rs. 56,000 ÷ Rs.2,000 ⇒ 28 units of laptops According to the question The new price of a laptop = Old price × (1 + 75%) ⇒ Rs. 2,000 × (1 + 0.75) ⇒ Rs. 2,000 × 1.75 ⇒ Rs. 3,500 New Price × New Quantity = Expenditure ⇒ Rs.3500 × Quantity = Rs.56000 ⇒ Quantity = Rs.56000 ÷ Rs.3500 ⇒ 16 units of laptops Fall in the number of laptops purchased = Old quantity – new quantity ⇒ (28 – 16) units ⇒ 12 units of laptops ∴ Quantity purchased of laptops has to be decreased by 12 units when the price of laptops rise by 75%, keeping the expenditure constant. |
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