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A trader gives a discount of 12% on the marked price. To earn profit of 32%, by how much percent should he mark the price of his goods higher than its cost price?
- a)40
- b)50
- c)30
- d)60
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A trader gives a discount of 12% on the marked price. To earn profit o...
Let the marked price of an article be Rs. x.
∵ Discount = 12%
∴ Its S.P = Rs. 0.88x
∴ S.P = C.P + 32C.P/100
⇒ S.P = C.P × (132/100)
⇒ C.P = S.P × (100/132)
⇒ C.P = 0.88x × 100/132 = 2x/3
Now, M.P = Rs. x and C.P = 2x/3
⇒ M.P - C.P = x - 2x/3 = x/3
∵ Discount = 12%
∴ Its S.P = Rs. 0.88x
∴ S.P = C.P + 32C.P/100
⇒ S.P = C.P × (132/100)
⇒ C.P = S.P × (100/132)
⇒ C.P = 0.88x × 100/132 = 2x/3
Now, M.P = Rs. x and C.P = 2x/3
⇒ M.P - C.P = x - 2x/3 = x/3
Most Upvoted Answer
A trader gives a discount of 12% on the marked price. To earn profit o...
To find the percentage by which the trader should mark the price higher than the cost price in order to earn a profit of 32%, we can follow these steps:
1. Let's assume the cost price of the goods is $100.
2. The trader gives a discount of 12% on the marked price. So, the selling price after the discount would be (100 - 12% of 100) = $88.
3. We know that the trader wants to earn a profit of 32% on the cost price. Therefore, the selling price should be 132% of the cost price.
4. Let's calculate the selling price based on the cost price: 132% of $100 = (132/100) * $100 = $132.
5. Now, we need to find the percentage by which the marked price should be higher than the cost price. Let's assume this percentage as 'x'.
6. The marked price can be calculated as (100 + x)% of the cost price.
7. So, the marked price would be (100 + x)% of $100 = (100 + x)/100 * $100 = $100 + x.
8. Since the selling price after the discount is $88, we can equate it to the marked price and solve for 'x':
$100 + x = $88
x = $88 - $100
x = -$12
9. We get a negative value for 'x', which indicates that the marked price is lower than the cost price. This means that it is not possible to earn a profit of 32% by marking the price lower than the cost price.
10. Therefore, the trader should mark the price higher than the cost price by a certain percentage in order to earn a profit of 32%.
11. The correct answer is option 'B' - 50%, as the trader should mark the price 50% higher than the cost price to achieve the desired profit.
1. Let's assume the cost price of the goods is $100.
2. The trader gives a discount of 12% on the marked price. So, the selling price after the discount would be (100 - 12% of 100) = $88.
3. We know that the trader wants to earn a profit of 32% on the cost price. Therefore, the selling price should be 132% of the cost price.
4. Let's calculate the selling price based on the cost price: 132% of $100 = (132/100) * $100 = $132.
5. Now, we need to find the percentage by which the marked price should be higher than the cost price. Let's assume this percentage as 'x'.
6. The marked price can be calculated as (100 + x)% of the cost price.
7. So, the marked price would be (100 + x)% of $100 = (100 + x)/100 * $100 = $100 + x.
8. Since the selling price after the discount is $88, we can equate it to the marked price and solve for 'x':
$100 + x = $88
x = $88 - $100
x = -$12
9. We get a negative value for 'x', which indicates that the marked price is lower than the cost price. This means that it is not possible to earn a profit of 32% by marking the price lower than the cost price.
10. Therefore, the trader should mark the price higher than the cost price by a certain percentage in order to earn a profit of 32%.
11. The correct answer is option 'B' - 50%, as the trader should mark the price 50% higher than the cost price to achieve the desired profit.
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Community Answer
A trader gives a discount of 12% on the marked price. To earn profit o...
Let the marked price of an article be Rs. x.
∵ Discount = 12%
∴ Its S.P = Rs. 0.88x
∴ S.P = C.P + 32C.P/100
⇒ S.P = C.P × (132/100)
⇒ C.P = S.P × (100/132)
⇒ C.P = 0.88x × 100/132 = 2x/3
Now, M.P = Rs. x and C.P = 2x/3
⇒ M.P - C.P = x - 2x/3 = x/3
∵ Discount = 12%
∴ Its S.P = Rs. 0.88x
∴ S.P = C.P + 32C.P/100
⇒ S.P = C.P × (132/100)
⇒ C.P = S.P × (100/132)
⇒ C.P = 0.88x × 100/132 = 2x/3
Now, M.P = Rs. x and C.P = 2x/3
⇒ M.P - C.P = x - 2x/3 = x/3
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A trader gives a discount of 12% on the marked price. To earn profit of 32%, by how much percent should he mark the price of his goods higher than its cost price?a)40b)50c)30d)60Correct answer is option 'B'. Can you explain this answer?
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