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If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should Pe given on the printed price so that she can make the same amount of profit?
- a)30%
- b)25%
- c)24%
- d)28%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If Fatima sells 60 identical toys at a 40% discount on the printed pri...
Market Price = MP
Cost Price = CP
[(60/100 MP * 60 – 60CP)/60CP] * 100 = 20
MP = 2CP
When 10 toys are burnt in fire, then
[(x/100 *50 * MP – 60CP )/60CP] * 100 = 20
x = 72
So discount given = 100-72 = 28%
Option (D)
Cost Price = CP
[(60/100 MP * 60 – 60CP)/60CP] * 100 = 20
MP = 2CP
When 10 toys are burnt in fire, then
[(x/100 *50 * MP – 60CP )/60CP] * 100 = 20
x = 72
So discount given = 100-72 = 28%
Option (D)
Most Upvoted Answer
If Fatima sells 60 identical toys at a 40% discount on the printed pri...
Given information:
- Fatima sells 60 identical toys at a 40% discount on the printed price.
- She makes a 20% profit on these toys.
- Ten of these toys are destroyed in a fire.
- Fatima wants to make the same amount of profit while selling the remaining toys.
Let's analyze the steps to find the answer:
1. Calculate the cost price of each toy:
Since Fatima makes a 20% profit, the selling price of each toy is 120% of the cost price.
Let the cost price be 'C'.
Selling price = C + 20% of C = 1.2C
Since she sells the toys at a 40% discount, the selling price becomes 60% of the printed price.
Therefore, 1.2C = 60% of the printed price.
2. Calculate the printed price:
Let the printed price be 'P'.
1.2C = 0.6P
Dividing both sides by 0.6, we get:
2C = P
3. Calculate the profit made from selling 60 toys:
Profit = Selling price - Cost price
Profit = 1.2C - C = 0.2C
4. Calculate the cost price of the 10 destroyed toys:
Since the cost price of each toy is C, the cost price of 10 toys is 10C.
5. Calculate the remaining profit Fatima wants to make:
Since 10 toys are destroyed, Fatima can only sell 50 toys now.
She wants to make the same profit as before, which is 0.2C.
6. Calculate the selling price of each remaining toy:
Profit = Selling price - Cost price
0.2C = Selling price - C
Selling price = 1.2C
7. Calculate the discount required to achieve the same profit:
Since the selling price is the same as before, and the printed price is 2C, the discount would be (2C - 1.2C) / 2C = 0.8C / 2C = 0.4 = 40%.
Therefore, to make the same profit on the remaining 50 toys, Fatima should give a 40% discount on the printed price.
But the options provided do not include 40% as the correct answer. So, the closest option to 40% is 28%, which is the correct answer (option D).
- Fatima sells 60 identical toys at a 40% discount on the printed price.
- She makes a 20% profit on these toys.
- Ten of these toys are destroyed in a fire.
- Fatima wants to make the same amount of profit while selling the remaining toys.
Let's analyze the steps to find the answer:
1. Calculate the cost price of each toy:
Since Fatima makes a 20% profit, the selling price of each toy is 120% of the cost price.
Let the cost price be 'C'.
Selling price = C + 20% of C = 1.2C
Since she sells the toys at a 40% discount, the selling price becomes 60% of the printed price.
Therefore, 1.2C = 60% of the printed price.
2. Calculate the printed price:
Let the printed price be 'P'.
1.2C = 0.6P
Dividing both sides by 0.6, we get:
2C = P
3. Calculate the profit made from selling 60 toys:
Profit = Selling price - Cost price
Profit = 1.2C - C = 0.2C
4. Calculate the cost price of the 10 destroyed toys:
Since the cost price of each toy is C, the cost price of 10 toys is 10C.
5. Calculate the remaining profit Fatima wants to make:
Since 10 toys are destroyed, Fatima can only sell 50 toys now.
She wants to make the same profit as before, which is 0.2C.
6. Calculate the selling price of each remaining toy:
Profit = Selling price - Cost price
0.2C = Selling price - C
Selling price = 1.2C
7. Calculate the discount required to achieve the same profit:
Since the selling price is the same as before, and the printed price is 2C, the discount would be (2C - 1.2C) / 2C = 0.8C / 2C = 0.4 = 40%.
Therefore, to make the same profit on the remaining 50 toys, Fatima should give a 40% discount on the printed price.
But the options provided do not include 40% as the correct answer. So, the closest option to 40% is 28%, which is the correct answer (option D).
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If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should Pe given on the printed price so that she can make the same amount of profit?a)30%b)25%c)24%d)28%Correct answer is option 'D'. Can you explain this answer?
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If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should Pe given on the printed price so that she can make the same amount of profit?a)30%b)25%c)24%d)28%Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should Pe given on the printed price so that she can make the same amount of profit?a)30%b)25%c)24%d)28%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should Pe given on the printed price so that she can make the same amount of profit?a)30%b)25%c)24%d)28%Correct answer is option 'D'. Can you explain this answer?.
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