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Select the correct answer Tina has one rupee coins, fifty paisa coins and twenty five paisa coins. The number of coins is in the ratio 2.5:3:4. If the total amount with her is Rs. 210 find the number of one rupee coins. radio_button_unchecked 90 radio_button_unchecked 85 radio_button_unchecked 100 radio_button_unchecked 105

Question

Select the correct answer Tina has one rupee coins, fifty paisa coins and twenty five paisa coins. The number of coins is in the ratio 2.5:3:4. If the total amount with her is Rs. 210 find the number of one rupee coins.

radio_button_unchecked 90

radio_button_unchecked 85

radio_button_unchecked 100

radio_button_unchecked 105

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Solution

Let's solve this step by step:

Step 1: The ratio of the number of coins is given as 2.5:3:4. But ratios should be in whole numbers. So, let's multiply the entire ratio by 2 to get whole numbers. The ratio becomes 5:6:8.

Step 2: The total value of all coins is Rs. 210. Let's convert this total value into paisa for ease of calculation. So, Rs. 210 = 21000 paisa.

Step 3: Now, let's assign the ratios to the respective coins. We know that 1 rupee = 100 paisa, 50 paisa is as it is, and 25 paisa is 1/4th of a rupee. So, the total value in paisa according to the ratio would be 5100x for one rupee coins, 650x for fifty paisa coins, and 8*25x for twenty five paisa coins. Here, 'x' is the common multiplier for the ratio.

Step 4: According to the problem, the total value of all coins is 21000 paisa. So, we can set up the equation as follows: 500x + 300x + 200x = 21000.

Step 5: Solving the equation, we get x = 21000 / 1000 = 21.

Step 6: The number of one rupee coins is 5x = 5*21 = 105.

So, the correct answer is 105.

This problem has been solved

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