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A bag contains one rupee coins, fifty paisa coins and twenty-five paisa coins in the ratio 5: 6: 8. If the total amount in the bag is Rs.200. Find the number of one-rupee coins.8510542100

Question

A bag contains one rupee coins, fifty paisa coins and twenty-five paisa coins in the ratio 5: 6: 8. If the total amount in the bag is Rs.200. Find the number of one-rupee coins.8510542100

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Solution

Let's solve this step by step:

Step 1: Understand the problem The problem states that there are three types of coins in a bag: one rupee coins, fifty paisa coins, and twenty-five paisa coins. The ratio of these coins is 5:6:8 respectively. The total amount in the bag is Rs. 200. We need to find the number of one-rupee coins.

Step 2: Convert all amounts to the same denomination To simplify the problem, let's convert all amounts to the same denomination, which is paisa. So, Rs. 200 becomes 20000 paisa.

Step 3: Set up the equation According to the problem, the total value of the coins is equal to the sum of the values of each type of coin. We can express this as:

1005x (for one rupee coins) + 506x (for fifty paisa coins) + 25*8x (for twenty-five paisa coins) = 20000

Step 4: Simplify the equation Simplify the equation to find the value of x:

500x + 300x + 200x = 20000 1000x = 20000

Step 5: Solve for x Solve the equation to find the value of x:

x = 20000 / 1000 x = 20

Step 6: Find the number of one-rupee coins The number of one-rupee coins is 5x, so:

Number of one-rupee coins = 5 * 20 = 100

So, there are 100 one-rupee coins in the bag.

This problem has been solved

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