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GATE 2022 EE – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges ₹150 for delivery. There are no delivery charges for orders from the store M. A person bought the item from the store S and saved ₹100.

What is the price of the item at the online store S (in ₹) if there are no other charges than what is described above?

  1. 2500
  2. 2250
  3. 1750
  4. 1500

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Show answer and explanation

Correct answer: (B) 2250

Explanation

Let the price at M be $x$. The price at S is $0.9x$ plus ₹150 delivery, and the saving is $x-(0.9x+150)=100$, so $0.1x=250$ and $x=2500$. The price at S is $0.9\times2500=$ ₹2250.