The ratio of the number of coins of 25 paise, 50 paise, Rs.2 and Rs.5 is 5 : 4 : 3 : 1, respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:
This questions was previously asked in
SSC CGL Tier 2 March 6, 2023 Paper 1
Explanation:
- The ratio of the number of coins is given as 5:4:3:1 for 25 paise, 50 paise, Rs.2, and Rs.5 coins.
- Let the number of coins for 25 paise, 50 paise, Rs.2, and Rs.5 be 5x, 4x, 3x, and x, respectively.
- The total value in Rs:
- 25 paise coins: \(5x \times 0.25 = 1.25x\)
- 50 paise coins: \(4x \times 0.5 = 2x\)
- Rs.2 coins: \(3x \times 2 = 6x\)
- Rs.5 coins: \(x \times 5 = 5x\)
- The total equation is: \(1.25x + 2x + 6x + 5x = 285\)
- Simplify to get: \(14.25x = 285\)
- Solving for x gives: \(x = 20\)
- Number of 25 paise coins = 5x = 100
- Number of Rs.5 coins = x = 20
- Difference = 100 - 20 = 80
- The correct answer is Option 1: 80
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By: Parvesh Mehta