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What was the percentage of discount given?
I. 23.5% profit was earned by selling an almirah for Rs 12,350.
II. If there were no discount, the earned profit would have been 30%.
III. The cost price of the almirah was Rs 10,000.
I. 23.5% profit was earned by selling an almirah for Rs 12,350.
II. If there were no discount, the earned profit would have been 30%.
III. The cost price of the almirah was Rs 10,000.
- a)Only I and II
- b)Only II and III
- c)Only I and III
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What was the percentage of discount given?I. 23.5% profit was earned b...
I. S.P. = Rs 12350, Gain = 23.5%
C.P. = Rs (1 00/123.5) × 12350
= Rs 1 0000
II. M.P. = 130% of C.P. = 130% of
Rs 10,000 = Rs 13,000.
From I and II, discount
= Rs (1 3000 – 12350) = Rs 650
Discount % = (650/13000) × 100% = 5% Thus, I and II give the answer.
II and III cannot give the answer because we require profit percentage with discount and profit percentage without discount.
So II and III are not sufficient.
Since III gives C.P. = Rs 10,000, I and III give the answer.
Therefore, I and II [or] I and III give the answer.
∴ Correct answer is (d).
C.P. = Rs (1 00/123.5) × 12350
= Rs 1 0000
II. M.P. = 130% of C.P. = 130% of
Rs 10,000 = Rs 13,000.
From I and II, discount
= Rs (1 3000 – 12350) = Rs 650
Discount % = (650/13000) × 100% = 5% Thus, I and II give the answer.
II and III cannot give the answer because we require profit percentage with discount and profit percentage without discount.
So II and III are not sufficient.
Since III gives C.P. = Rs 10,000, I and III give the answer.
Therefore, I and II [or] I and III give the answer.
∴ Correct answer is (d).
Most Upvoted Answer
What was the percentage of discount given?I. 23.5% profit was earned b...
Given information:
- Profit earned by selling the almirah = 23.5% of the selling price
- Selling price of the almirah = Rs 12,350
- If there were no discount, the earned profit would have been 30%
- Cost price of the almirah = Rs 10,000
We need to find the percentage of discount given.
Explanation:
Let's calculate the profit earned by selling the almirah if there were no discount:
Profit % = (Profit/Cost Price) x 100
30% = (Profit/10000) x 100
Profit = 3000
Now, let's calculate the profit earned by selling the almirah with the given selling price and profit percentage:
Profit % = (Profit/Selling Price) x 100
23.5% = (Profit/12350) x 100
Profit = 2902.5
We can see that the profit earned with the given selling price and profit percentage is less than the profit earned if there were no discount. This means that a discount was given.
Let's calculate the amount of discount:
Discount = (Profit with no discount - Profit with discount)
Discount = (3000 - 2902.5)
Discount = 97.5
Now, let's find the percentage of discount:
Discount % = (Discount/Selling Price) x 100
Discount % = (97.5/12350) x 100
Discount % = 0.79%
Therefore, the percentage of discount given is 0.79%.
Option D is the correct answer as none of the given statements provide the direct information about the percentage of discount given.
- Profit earned by selling the almirah = 23.5% of the selling price
- Selling price of the almirah = Rs 12,350
- If there were no discount, the earned profit would have been 30%
- Cost price of the almirah = Rs 10,000
We need to find the percentage of discount given.
Explanation:
Let's calculate the profit earned by selling the almirah if there were no discount:
Profit % = (Profit/Cost Price) x 100
30% = (Profit/10000) x 100
Profit = 3000
Now, let's calculate the profit earned by selling the almirah with the given selling price and profit percentage:
Profit % = (Profit/Selling Price) x 100
23.5% = (Profit/12350) x 100
Profit = 2902.5
We can see that the profit earned with the given selling price and profit percentage is less than the profit earned if there were no discount. This means that a discount was given.
Let's calculate the amount of discount:
Discount = (Profit with no discount - Profit with discount)
Discount = (3000 - 2902.5)
Discount = 97.5
Now, let's find the percentage of discount:
Discount % = (Discount/Selling Price) x 100
Discount % = (97.5/12350) x 100
Discount % = 0.79%
Therefore, the percentage of discount given is 0.79%.
Option D is the correct answer as none of the given statements provide the direct information about the percentage of discount given.
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What was the percentage of discount given?I. 23.5% profit was earned by selling an almirah for Rs 12,350.II. If there were no discount, the earned profit would have been 30%.III. The cost price of the almirah was Rs 10,000.a)Only I and IIb)Only II and IIIc)Only I and IIId)None of theseCorrect answer is option 'D'. Can you explain this answer?
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