Multiple choice

A bag contains Rs. $510$ in the form of $50p$, $25p$ and $20p$ coins in the ratio $2:3:4$. Find the number of coins of each type

  1. $200,\,300,\,400$
  2. $100,\,150,\,200$
  3. $400,\,600,\,800$
  4. $600,\,900,\,1200$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of coins be 2x, 3x, 4x. Value = 0.50(2x) + 0.25(3x) + 0.20(4x) = 510. 1x + 0.75x + 0.8x = 510. 2.55x = 510. x = 200. Number of coins: 2(200)=400, 3(200)=600, 4(200)=800.

AI explanation

Let the number of 50p, 25p, and 20p coins be 2x, 3x, and 4x. Their monetary values in rupees are 2x multiplied by 0.50, 3x multiplied by 0.25, and 4x multiplied by 0.20, giving x, 0.75x, and 0.8x. The sum of these values equals 510, so 2.55x = 510, which means x = 200. Multiplying the ratio parts by 200 gives 400, 600, and 800.

Keep practicing — related questions