1.

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

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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