Multiple choice

Shruti purchased several number of three articles P, Q and R in the proportion 3 : 2 : 3. If the unit costs of the articles P, Q and R are 200, Rs. 90 and Rs. 60 respectively, how many articles of Q must have been purchased in the total purchases of Rs. 4800?

  1. 8

  2. 10

  3. 12

  4. 14
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number of articles be 3x, 2x, 3x. Total cost = 3x(200) + 2x(90) + 3x(60) = 600x + 180x + 180x = 960x. 960x = 4800, so x = 5. Number of articles Q = 2x = 2(5) = 10.

AI explanation

Let the number of articles P, Q, and R purchased be 3x, 2x, and 3x respectively, based on the given proportion. The total cost is calculated as the sum of the products of their quantities and unit prices, yielding 3x multiplied by 200 plus 2x multiplied by 90 plus 3x multiplied by 60, which simplifies to 600x + 180x + 180x = 960x. Setting this total cost equal to Rs. 4800 gives 960x = 4800, meaning x = 5. The number of articles of Q purchased is 2x, which equals 2 multiplied by 5, resulting in 10 articles.

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