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The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.
The values given in which of the following options will fill the blanks in the same order to make the statement true:
I. 80, 128
II. 72, 51.2
III. 90, 324
- a)Only I
- b)Only II
- c)Only I and II
- d)Only I and III
- e)All I, II and III
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The cost price of an article is Rs. 1600. The shopkeeper marked it __...
Given:
Cost price of the article = Rs. 1600
Successive discounts given = 20% and 25%
To find:
The marked price percentage above the cost price and the profit earned.
Solution:
Let's calculate the selling price after giving the two successive discounts.
First discount of 20%:
Selling price after the first discount = Cost price - (20% of Cost price)
Selling price after the first discount = 1600 - (20/100 * 1600)
Selling price after the first discount = 1600 - 320
Selling price after the first discount = Rs. 1280
Second discount of 25%:
Selling price after the second discount = Selling price after the first discount - (25% of Selling price after the first discount)
Selling price after the second discount = 1280 - (25/100 * 1280)
Selling price after the second discount = 1280 - 320
Selling price after the second discount = Rs. 960
Now, let's calculate the profit earned:
Profit = Selling price after the second discount - Cost price
Profit = 960 - 1600
Profit = -640
We observe that the profit is negative, which means there is a loss instead of a profit. This implies that the marked price percentage above the cost price must be less than 100%.
Let's calculate the marked price percentage above the cost price:
Marked price = Selling price after the second discount / (1 - (Total discount percentage / 100))
Marked price = 960 / (1 - ((20 + 25) / 100))
Marked price = 960 / (1 - (45 / 100))
Marked price = 960 / (1 - 0.45)
Marked price = 960 / 0.55
Marked price = Rs. 1745.45 (approx.)
Percentage above the cost price = ((Marked price - Cost price) / Cost price) * 100
Percentage above the cost price = ((1745.45 - 1600) / 1600) * 100
Percentage above the cost price = (145.45 / 1600) * 100
Percentage above the cost price ≈ 9.09%
From the given options, the values that fill the blanks in the same order are:
I. 9.09, -640
II. 72, 51.2
III. 90, 324
Only option I satisfies the conditions, so the correct answer is Option I.
Cost price of the article = Rs. 1600
Successive discounts given = 20% and 25%
To find:
The marked price percentage above the cost price and the profit earned.
Solution:
Let's calculate the selling price after giving the two successive discounts.
First discount of 20%:
Selling price after the first discount = Cost price - (20% of Cost price)
Selling price after the first discount = 1600 - (20/100 * 1600)
Selling price after the first discount = 1600 - 320
Selling price after the first discount = Rs. 1280
Second discount of 25%:
Selling price after the second discount = Selling price after the first discount - (25% of Selling price after the first discount)
Selling price after the second discount = 1280 - (25/100 * 1280)
Selling price after the second discount = 1280 - 320
Selling price after the second discount = Rs. 960
Now, let's calculate the profit earned:
Profit = Selling price after the second discount - Cost price
Profit = 960 - 1600
Profit = -640
We observe that the profit is negative, which means there is a loss instead of a profit. This implies that the marked price percentage above the cost price must be less than 100%.
Let's calculate the marked price percentage above the cost price:
Marked price = Selling price after the second discount / (1 - (Total discount percentage / 100))
Marked price = 960 / (1 - ((20 + 25) / 100))
Marked price = 960 / (1 - (45 / 100))
Marked price = 960 / (1 - 0.45)
Marked price = 960 / 0.55
Marked price = Rs. 1745.45 (approx.)
Percentage above the cost price = ((Marked price - Cost price) / Cost price) * 100
Percentage above the cost price = ((1745.45 - 1600) / 1600) * 100
Percentage above the cost price = (145.45 / 1600) * 100
Percentage above the cost price ≈ 9.09%
From the given options, the values that fill the blanks in the same order are:
I. 9.09, -640
II. 72, 51.2
III. 90, 324
Only option I satisfies the conditions, so the correct answer is Option I.
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Community Answer
The cost price of an article is Rs. 1600. The shopkeeper marked it __...
For I
Selling price of the article = 1.80 × 0.75 × 0.80 × 1600 = Rs. 1728
Profit earned = 1728 – 1600 = Rs. 128
Statement I, follows.
For II:
Selling price of the article = 1.72 × 0.80 × 0.75 × 1600 = Rs. 1651.2
Profit earned = 1651.2 – 1600 = Rs. 51.2
Statement II, follows.
For III:
Selling price of the article = 1.90 × 0.80 × 0.75 × 1600 = Rs. 1824
Profit earned = 1824 – 1600 = Rs. 224
Statement III, not follows.
Hence, the correct option is C.
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The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer?
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The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer?.
The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer?.
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The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The cost price of an article is Rs. 1600. The shopkeeper marked it ___% above the cost price and sold it after giving two successive discounts of 20% and 25%. The earned a profit of Rs. _____.The values given in which of the following options will fill the blanks in the same order to make the statement true:I. 80, 128II. 72, 51.2III. 90, 324a)Only Ib)Only IIc)Only I and IId)Only I and IIIe)All I, II and IIICorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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