Multiple choice

A bag contains 50 paise, 25 paise and 10 paise coins are in the ratio of 5 : 9 : 4 respectively amounting to Rs. 206. Find the number of coins of 50 paise?

  1. $200$
  2. $235$
  3. $211$
  4. $225$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let coins be in ratio 5:9:4. Let actual counts be 5k, 9k, 4k. Total value = (5k × 0.50) + (9k × 0.25) + (4k × 0.10) = 2.5k + 2.25k + 0.4k = 5.15k = Rs. 206. So k = 206/5.15 = 40. Number of 50 paise coins = 5k = 5 × 40 = 200. Option A is correct.