Multiple choice

A bag contains Rs. 187 in the form of Re. 1, 50 p, and 10 p coins in the ratio of 3 : 4 : 5. Find the number of each type of coin.

  1. 30, 40, 50

  2. 102, 136, 170

  3. 60, 80, 100

  4. None of these
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B Correct answer
Explanation

Let coins be 3x, 4x, 5x. Value = 3x(1) + 4x(0.5) + 5x(0.1) = 3x + 2x + 0.5x = 5.5x. 5.5x = 187. x = 187 / 5.5 = 34. Coins: 3*34=102, 4*34=136, 5*34=170.

AI explanation

Let the number of Re. 1, 50 paise and 10 paise coins be 3x, 4x and 5x respectively. The total value in rupees is calculated as (1)(3x) + (0.50)(4x) + (0.10)(5x) = 3x + 2x + 0.5x = 5.5x. Setting this equal to the total amount gives 5.5x = 187, so x = 34. Multiplying this multiplier by the ratio parts gives the number of coins as 102, 136 and 170.

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