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In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs.30 in all, how many 5 p coins are there ?

Question

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs.30 in all, how many 5 p coins are there ?

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Solution

Sure, let's solve this step by step:

  1. First, we need to understand that Rs. 30 is equal to 3000 paise because 1 Rs = 100 paise.

  2. The ratio of the coins is 1:2:3 for 25p, 10p, and 5p coins respectively. This means for every 1 coin of 25p, there are 2 coins of 10p and 3 coins of 5p.

  3. The total value of the coins in the bag is given by the sum of the products of the number of each type of coin and their respective values. This can be represented as: 25p1x + 10p2x + 5p*3x = 3000p

  4. Simplifying the equation gives: 25x + 20x + 15x = 3000

  5. Combining like terms gives: 60x = 3000

  6. Solving for x gives: x = 3000 / 60 = 50

  7. The number of 5p coins is 3 times the value of x, so there are 3*50 = 150 coins of 5p.

This problem has been solved

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