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
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.
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