Knowee
Questions
Features
Study Tools

A bat is sold at 20% profit. If cost price and selling price of the bat is reduced by ₹ 400 each, the profit is 10% more. Find the cost price of the bat.₹ 1100₹ 1300₹ 1400₹ 1200

Question

A bat is sold at 20% profit. If cost price and selling price of the bat is reduced by ₹ 400 each, the profit is 10% more. Find the cost price of the bat.₹ 1100₹ 1300₹ 1400₹ 1200

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's solve this step by step:

Step 1: Let's assume the cost price of the bat is ₹x.

Step 2: Given that the bat is sold at a 20% profit, the selling price of the bat would be 120% of the cost price. So, the selling price is 1.2x.

Step 3: Now, it's given that if the cost price and selling price of the bat are reduced by ₹400 each, the profit is 10% more. This means the new profit is 30% (20% original profit + 10% more). So, the new selling price is 130% of the new cost price.

Step 4: We know that the new cost price is (x - 400) and the new selling price is (1.2x - 400). So, we can set up the equation as follows: 1.3(x - 400) = 1.2x - 400.

Step 5: Solving this equation, we get x = ₹1300.

So, the cost price of the bat is ₹1300.

This problem has been solved

Similar Questions

While selling a bat, shopkeeper gives a discount of 15%. If he gives a discount of 20%, he earns ₹ 25 less as profit. What is the marked price of the bat?₹ 500₹ 1500₹ 700₹ 1000

Raj sold his bat at x% profit after giving a discount of x%. The marked price was Rs. 2,400 more than the cost price. And the selling price was Rs. 900 more than the cost price. Find the value of 4x.Question 16Answera.40b.200c.100d.50

Sumit purchased 20 dozens of bats at the rate of Rs. 450 per dozen. He sold each one of them at the rate of Rs. 40. What was his percentage profit

A man sells his goods at 10% profit. If he purchased it for ₹ 500 Loss and sold it for ₹ 500 Loss, he would have gained 10% more profit. Find the initial cost price.₹ 800₹ 1200₹ 1500₹ 1000

What is the outcome of a transaction in which a trader sells 20 bats for the same price as the cost price of 25 bats?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.