In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?Choices:- 50 100 150 200
Question
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?Choices:- 50 100 150 200
Solution
Sure, let's solve this step by step:
Step 1: Convert the total amount in rupees to paise because the denomination of coins is given in paise. 1 Rupee = 100 Paise. So, Rs. 30 = 3000 Paise.
Step 2: The ratio of the coins is 1:2:3. So, the total ratio is 1+2+3 = 6.
Step 3: Now, find the value of each part in the ratio. Each part is equal to the total paise divided by the total ratio. So, each part = 3000 Paise / 6 = 500 Paise.
Step 4: The number of 5 paise coins is represented by 3 parts in the ratio. So, the total value of 5 paise coins = 3 parts * 500 Paise/part = 1500 Paise.
Step 5: Now, find the number of 5 paise coins. Number of 5 paise coins = Total value of 5 paise coins / Value of each 5 paise coin = 1500 Paise / 5 Paise = 300.
So, there are 300 coins of 5 paise. But this option is not given in the choices. There might be a mistake in the question or the choices given.
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