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A purse has Rs. 34.5 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 6 ∶ 9 ∶ 10. Find the number of 10-paise coins.
- a)10
- b)30
- c)20
- d)40
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A purse has Rs. 34.5 in the form of 1-rupee, 50-paise and 10-paise coi...
Let total coins in the purse are x.
⇒ 1-rupee, 50-paise and 10-paise coins would be 6x, 9x and 10x respectively.
Total amount is Rs. 34.5
⇒ 6x × 1 + 9x × 0.5 + 10x × 0.1 = 34.5
⇒ 6x + 4.5x + x = 34.5
⇒ 11.5x = 34.5
⇒ x = 3
∴ Number of 10-paise coins = 10 × 3 = 30
⇒ 1-rupee, 50-paise and 10-paise coins would be 6x, 9x and 10x respectively.
Total amount is Rs. 34.5
⇒ 6x × 1 + 9x × 0.5 + 10x × 0.1 = 34.5
⇒ 6x + 4.5x + x = 34.5
⇒ 11.5x = 34.5
⇒ x = 3
∴ Number of 10-paise coins = 10 × 3 = 30
Most Upvoted Answer
A purse has Rs. 34.5 in the form of 1-rupee, 50-paise and 10-paise coi...
Given information:
- A purse has Rs. 34.5.
- The purse has coins in the ratio of 6:9:10.
- The coins are in the form of 1-rupee, 50-paise, and 10-paise.
To find: The number of 10-paise coins.
Solution:
Let the common ratio of the coins be x.
So, the number of 1-rupee coins = 6x
The number of 50-paise coins = 9x
The number of 10-paise coins = 10x
The total amount in the purse can be calculated as follows:
Total amount = (6x * 1) + (9x * 0.5) + (10x * 0.1)
34.5 = 6x + 4.5x + x
34.5 = 11.5x
x = 3
Therefore, the number of 10-paise coins = 10x = 30.
Hence, option (B) is the correct answer.
Note: The solution can be verified by calculating the total amount using the number of coins obtained and checking if it matches the given amount in the purse.
- A purse has Rs. 34.5.
- The purse has coins in the ratio of 6:9:10.
- The coins are in the form of 1-rupee, 50-paise, and 10-paise.
To find: The number of 10-paise coins.
Solution:
Let the common ratio of the coins be x.
So, the number of 1-rupee coins = 6x
The number of 50-paise coins = 9x
The number of 10-paise coins = 10x
The total amount in the purse can be calculated as follows:
Total amount = (6x * 1) + (9x * 0.5) + (10x * 0.1)
34.5 = 6x + 4.5x + x
34.5 = 11.5x
x = 3
Therefore, the number of 10-paise coins = 10x = 30.
Hence, option (B) is the correct answer.
Note: The solution can be verified by calculating the total amount using the number of coins obtained and checking if it matches the given amount in the purse.
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A purse has Rs. 34.5 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 6 ∶ 9 ∶ 10. Find the number of 10-paise coins.a)10b)30c)20d)40Correct answer is option 'B'. Can you explain this answer?
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