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A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.?
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A toy was sold at a profit of 12%. If the cost price has been 10% less...
Given Information:
- Original profit: 12%
- Increased profit: 25%
- Initial cost price: x
- Initial selling price: y
Calculating the Initial Selling Price and Cost Price:
Let the cost price be x and the selling price be y.
Profit = Selling Price - Cost Price
Step 1:
Original profit = 12%
Profit = 0.12x
Selling Price = Cost Price + Profit
y = x + 0.12x
y = 1.12x
Step 2:
New cost price = 10% less = 0.9x
New selling price = Re. 1 more = y + 1
Calculating the New Selling Price and Cost Price:
New profit = 25%
Profit = 0.25(0.9x)
New selling price = New cost price + New profit
y + 1 = 0.9x + 0.25(0.9x)
Step 3:
Solving the equations from Step 1 and Step 2, we get:
1.12x = 0.9x + 0.25(0.9x)
1.12x = 0.9x + 0.225x
1.12x = 1.125x
x = 1.125
Step 4:
Substitute x back into the equation to find y:
y = 1.12(1.125)
y = 1.26
Final Answer:
To gain a 20% profit, the cost price should be Rs. 1.125 and the selling price should be Rs. 1.26.
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A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.?
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A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.?.
A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A toy was sold at a profit of 12%. If the cost price has been 10% less and selling price Re. 1 more, he would have made a profit of 25%. Find the cost price and the sell price to gain 20%.?.
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