1 vote

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 $\text{₹ }150$ for delivery. There are no delivery charges for orders from the store $M$. A person bought the items from the store $S$ and saved $\text{₹ } 100$.

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

- $2500$
- $2250$
- $1750$
- $1500$

0 votes

We can draw the table for better understanding.

$\begin{array}{lll} & \textbf{S} & \textbf{M} \\ \text{Cost price:} & 90x & 100x \\ \text{Delivery charge:} & \text{₹ }150 & \text{₹ }0 \end{array}$

A person bought the items from the store $\text{S}$ and saved $\text{₹ }100$.

So, $90x + 150 = 100x – 100$

$\Rightarrow -10x = -250$

$\Rightarrow {\color{Blue}{\boxed{x = 25}}}$

$\therefore$ The price of the item at the online store $\text{S}$, if there are no other charges includes $ = 90x = 90 \times 25 = \text{₹ }2250.$

Correct Answer $:\text{B}$

$\begin{array}{lll} & \textbf{S} & \textbf{M} \\ \text{Cost price:} & 90x & 100x \\ \text{Delivery charge:} & \text{₹ }150 & \text{₹ }0 \end{array}$

A person bought the items from the store $\text{S}$ and saved $\text{₹ }100$.

So, $90x + 150 = 100x – 100$

$\Rightarrow -10x = -250$

$\Rightarrow {\color{Blue}{\boxed{x = 25}}}$

$\therefore$ The price of the item at the online store $\text{S}$, if there are no other charges includes $ = 90x = 90 \times 25 = \text{₹ }2250.$

Correct Answer $:\text{B}$