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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 ?Options :48100150200

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 ?Options :48100150200

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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 Rupee = 100 paise.

  2. The ratio of the coins is given as 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 its value. So, if we let the common ratio be x, we can write the equation as 25p1x + 10p2x + 5p*3x = 3000p.

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

  5. Combining like terms gives us 60x = 3000.

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

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

So, the answer is 150.

This problem has been solved

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