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DIRECTIONS for questions: Select the correct alternative from the given choices. Robert bought an equal number of each of three kinds of articles, whose cost prices were Rs.8, Rs.25 and Rs.38 per article respectively. If, on the whole, he spent Rs.2,769, what is the total number of articles that he bought?
  • a)
    117
  • b)
    51
  • c)
    39
  • d)
    37
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
DIRECTIONS for questions: Select the correct alternative from the giv...
Price of each type of article is ₹8, ₹25, ₹38.
Let us assume Robert bought x articles of each kind.
Total Amount spent = 8x + 25x + 38x = 2769
=> 71x = 2769
=> x = 39
∴Robert bought 39 articles of each kind.
=>A total of 117 articles.
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DIRECTIONS for questions: Select the correct alternative from the giv...
Problem:
Robert bought an equal number of each of three kinds of articles, whose cost prices were Rs.8, Rs.25 and Rs.38 per article respectively. If, on the whole, he spent Rs.2,769, what is the total number of articles that he bought?

Solution:
To find the total number of articles that Robert bought, we need to divide the total amount he spent by the cost of each type of article. Let's assume that Robert bought 'x' number of articles of each type.

Cost of the first kind of article: Rs.8
Cost of the second kind of article: Rs.25
Cost of the third kind of article: Rs.38

Step 1: Calculate the total cost of each type of article:
Total cost of the first kind of article = Rs.8 * x = 8x
Total cost of the second kind of article = Rs.25 * x = 25x
Total cost of the third kind of article = Rs.38 * x = 38x

Step 2: Calculate the total cost of all the articles:
Total cost = 8x + 25x + 38x = 71x
We know that the total cost is Rs.2,769.
So, 71x = 2769

Step 3: Solve for x:
Dividing both sides of the equation by 71, we get:
x = 2769 / 71 = 39

Therefore, Robert bought 39 articles of each type.

Step 4: Calculate the total number of articles:
Since Robert bought an equal number of each type of article, and he bought 39 articles of each type, the total number of articles he bought is:
Total number of articles = 39 + 39 + 39 = 117

Hence, the correct answer is option A) 117.
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DIRECTIONS for questions: Select the correct alternative from the given choices. Robert bought an equal number of each of three kinds of articles, whose cost prices were Rs.8, Rs.25 and Rs.38 per article respectively. If, on the whole, he spent Rs.2,769, what is the total number of articles that he bought?a) 117b) 51c) 39d) 37Correct answer is option 'A'. Can you explain this answer?
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