A person has 25p, 10p and 5p in the ration 2:3:4 in his pocket.  If the person has Rs. 45 in all, how many 5 paisa cons are there?Options :110100130180

The problem can be solved in the following steps:

Step 1: Understand the problem The person has coins of 25p, 10p, and 5p in the ratio 2:3:4. The total amount of money the person has is Rs. 45. We need to find out how many 5p coins the person has.

Step 2: Convert the total amount to paise Since 1 Rupee = 100 paise, Rs. 45 = 4500 paise.

Step 3: Set up the equation Let's denote the number of 25p coins as 2x, the number of 10p coins as 3x, and the number of 5p coins as 4x. The total value of these coins is equal to the total amount of money the person has, which is 4500 paise. So, we can write the equation as follows:

252x + 103x + 5*4x = 4500

Step 4: Solve the equation Solving the equation gives us the value of x.

50x + 30x + 20x = 4500 100x = 4500 x = 4500 / 100 x = 45

Step 5: Find the number of 5p coins The number of 5p coins is 4x, so substituting the value of x we get:

4*45 = 180

So, the person has 180 coins of 5p. Therefore, the correct option is 180.