## A merchant sold 25 caps at RS.9.90 per cap.In this transaction he incurred a loss of RS.40. What is the cost price of each cap?

Question

A merchant sold 25 caps at RS.9.90 per cap.In this transaction he incurred a loss of RS.40. What is the cost price of each cap?

With explanation.​

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3 weeks 2021-09-21T02:21:19+00:00 2 Answers 0 views 0

• The cost price of each cap is Rs 11.50

Step-by-step explanation:

Given that:

• A merchant sold 25 caps at Rs 9.90 per cap.
• In this transaction he incurred a loss of Rs 40.

To Find:

• What is the cost price of each cap?

We have,

∵ Selling price of one cap = Rs 9.90

∴ Selling price of 25 caps = Rs 9.90 × 25

∴ Selling price of 25 caps = Rs 247.50

We know that,

Cost price = Selling price + Loss

⟶ Cost price = Rs (247.50 + 40)

⟶ Cost price = Rs 287.50

Now we have,

∵ Cost price of 25 caps = Rs 287.50

∴ Cost price of one cap = Rs 287.50/25

∴ Cost price of one cap = Rs 11.50

Hence,

• The cost price of each cap is Rs 11.50

### Given :-

• A merchant sold 25 caps at Rs 9.90 per cap. In this transaction he incurred a loss of Rs 40.

### To Find :-

• What is the cost price of each cap.

### Formula Used :- Cost Price Formula : ### Solution :-

First, we have to find the selling price of 25 caps :

If, one caps sells at Rs 9.90 per cap.

Then,     Now, we have to find the cost price of cap :

Given :

• Selling Price = Rs 247.50
• Loss = Rs 40

According to the question by using the formula we get,   Now, we have to find the cost price of each cap :

If, cost price of 25 cap is Rs 287.50

Then,      The cost price of each cap is Rs 11.50.