Multiple choice

Price of each article of type P, Q, and R is Rs. 300, Rs. 180 and Rs. 120respectively. Suresh buys articles of each type in the ratio 3:2:3 in Rs. 6480. How manyarticles of type Q did he purchase?

  1. 8

  2. 14

  3. 20

  4. 30

  5. 40
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A Correct answer
Explanation

Let the number of articles be 3x, 2x, and 3x. The total cost is 300(3x) + 180(2x) + 120(3x) = 900x + 360x + 360x = 1620x. Setting 1620x = 6480, we find x = 4. The number of type Q articles is 2x = 2(4) = 8.

AI explanation

Let the common multiplier for the purchased articles be x, meaning 3 type P, 2 type Q, and 3 type R articles were bought. The total cost equation is (300 times 3x) plus (180 times 2x) plus (120 times 3x) equals 6480. Solving 900x plus 360x plus 360x yields 1620x equals 6480, so x equals 4. The number of type Q articles is 2x, which is 8.

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