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?

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Answer 1

Answer:

There are 1500 coins of 5 p in the bag.

Step-by-step-explanation:

We have given that,

There are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3.

Let the common multiple be x.

∴ 25 p coins = x

10 p coins = 2x

5p coins = 3x

From the given condition,

There are total Rs. 30 in the bag.

Now, we know that,

Re. 1 = 100 paise

⇒ Rs. 30 = 30 * 100 paise

⇒ Rs. 30 = 3000 paise

∴ x + 2x + 3x = 3000

⇒ 3x + 3x = 3000

⇒ 6x = 3000

⇒ 3x = 1500 - - - [ Dividing by 2 ]

∴ There are 1500 coins of 5 p in the bag.

Answer 2

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There are 1500 coins of 5 p in the bag.

Step-by-step-explanation:

We have given that,

There are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3.

Let the common multiple be x.

∴ 25 p coins = x

10 p coins = 2x

5p coins = 3x

From the given condition,

There are total Rs. 30 in the bag.

Now, we know that,

Re. 1 = 100 paise

⇒ Rs. 30 = 30 * 100 paise

⇒ Rs. 30 = 3000 paise

∴ x + 2x + 3x = 3000

⇒ 3x + 3x = 3000

⇒ 6x = 3000

⇒ 3x = 1500 - - - [ Dividing by 2 ]

∴ There are 1500 coins of 5 p in the bag.