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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?

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? Correct Answer 2250

Given:

The price of an item is 10% cheaper in store S compared to store M.

Delivery charge of store S = ₹ 150

There is no delivery charge of store M.

Calculation:

Let, the price of an item at store S = SP

The price of an item at store M = MP

The price of an item is 10% cheaper in store S compared to store M.

10% = 10/100 = 0.1

According to the question,

SP = (1 - 0.1)MP = 0.9MP

Delivery charge of store S = ₹ 150

There is no delivery charge of store M.

A person bought the item from store S and saved ₹ 100.

Therefore, MP - (SP + 150) = 100

⇒ MP - (0.9MP + 150) = 100

⇒ MP - 0.9MP - 150 = 100

⇒ 0.1MP = 100 + 150 = 250

⇒ MP = 250/0.1 = 2500

∴ The price of an item at store M = ₹ 2500

∴ The price of an item at store S = 0.9 × 2500 = 2250

∴ The price of the item at the online store S (in ₹) if there are no other charges than what is described above is ₹ 2250.

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