Discussion
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?
Answer: B
The price at store S is ₹ 2250.
Let the price at M be m. Then the price at S is 0.9m, and buying from S costs 0.9m + 150. The saving over M is 100:
\[ \begin{aligned} m - (0.9m + 150) &= 100 \\ 0.1m &= 250 \\ m &= 2500,\ \ 0.9m = 2250 \end{aligned} \]
Check: 2250 + 150 = 2400, which is 100 less than 2500. 2500 is the price at M, not at S; 1750 and 1500 do not satisfy the saving condition.
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