Question

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 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?

• A. 2500
• B. 2250
• C. 1750
• D. 1500

Hint:

To solve such problems, first define the unknown price, set up an equation based on the given relationships, and solve for the price.

Answer 1

The Correct Option is B

Let the price of the item at store M be \( x \).
The price at store S is 10% cheaper than at store M. So, the price at store S is:
\[ \text{Price at S} = x - 0.10x = 0.90x \] Store S charges ₹150 for delivery, while store M has no delivery charges. The person saved ₹100 by buying from store S, which means the total amount paid at store M, including delivery charges, is ₹100 more than the total amount paid at store S.
So, the equation becomes:
\[ x + 150 - 0.90x = 100 \] Simplifying:
\[ x - 0.90x + 150 = 100 \] \[ 0.10x = 100 - 150 \] \[ 0.10x = -50 \] \[ x = \frac{-50}{0.10} = 500 \] Now, the price of the item at store S is:
\[ \text{Price at S} = 0.90 \times 500 = 450 \] Thus, the price of the item at the online store S is ₹2250.