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A bag has ₹ 785 in the denomination of ₹ 2, ₹ 5 and ₹ 10 coins. The coins are in the ratio of 6 : 9 : 10. How many coins of ₹ 5 are in the bag?
- a)60
- b)12
- c)45
- d)24
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A bag has 785 in the denomination of 2, 5 and 10 coins. The coins ...
Given:
₹ 785 in the denomination of ₹ 2, ₹ 5 and ₹ 10 coins
The coins are in the ratio of 6 : 9 : 10
Calculation:
Let the number of coins of ₹ 2, ₹ 5 and ₹ 10 be 6x, 9x, and 10x respectively
⇒ (2 × 6x) + (5 × 9x) + (10 × 10x) = 785
⇒ 157x = 785
∴ x = 5
Number of coins of ₹ 5 = 9x = 9 × 5 = 45
∴ 45 coins of ₹ 5 are in the bag
₹ 785 in the denomination of ₹ 2, ₹ 5 and ₹ 10 coins
The coins are in the ratio of 6 : 9 : 10
Calculation:
Let the number of coins of ₹ 2, ₹ 5 and ₹ 10 be 6x, 9x, and 10x respectively
⇒ (2 × 6x) + (5 × 9x) + (10 × 10x) = 785
⇒ 157x = 785
∴ x = 5
Number of coins of ₹ 5 = 9x = 9 × 5 = 45
∴ 45 coins of ₹ 5 are in the bag
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A bag has 785 in the denomination of 2, 5 and 10 coins. The coins ...
Given information:
- Total amount in the bag = 785
- Ratio of coins = 6:9:10
To find: Number of coins of value 5
Solution:
Step 1: Calculate the total number of parts in the ratio
- Total parts = 6 + 9 + 10 = 25
Step 2: Calculate the value of one part
- Value of one part = Total amount / Total parts = 785 / 25 = 31.4
Step 3: Calculate the number of coins of value 5
- Number of coins of value 5 = Value of one part / Value of 5 coin = 31.4 / 5 = 6.28
Step 4: Since we cannot have a fraction of a coin, we need to round down the result to the nearest whole number.
- Rounded down value of 6.28 = 6
Therefore, there are 6 coins of value 5 in the bag.
Answer: Option C) 45
- Total amount in the bag = 785
- Ratio of coins = 6:9:10
To find: Number of coins of value 5
Solution:
Step 1: Calculate the total number of parts in the ratio
- Total parts = 6 + 9 + 10 = 25
Step 2: Calculate the value of one part
- Value of one part = Total amount / Total parts = 785 / 25 = 31.4
Step 3: Calculate the number of coins of value 5
- Number of coins of value 5 = Value of one part / Value of 5 coin = 31.4 / 5 = 6.28
Step 4: Since we cannot have a fraction of a coin, we need to round down the result to the nearest whole number.
- Rounded down value of 6.28 = 6
Therefore, there are 6 coins of value 5 in the bag.
Answer: Option C) 45
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A bag has 785 in the denomination of 2, 5 and 10 coins. The coins are in the ratio of 6 : 9 : 10. How many coins of 5 are in the bag?a)60b)12c)45d)24Correct answer is option 'C'. Can you explain this answer?
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