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280 coins consist of 1 rupee, 50P. and 25P. coins. Their values are in the ratio 20 : 8 : 5. Find the number of each coin.
  • a)
    100, 80, 100
  • b)
    70, 100, 100
  • c)
    100, 110, 80
  • d)
    110, 90, 80
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
280 coins consist of 1 rupee, 50P. and 25P. coins. Their values are in...
The value of 1 rupee coins = Rs. 20 i.e., 20 coins
The value of 50P. coins = Rs. 8 i.e., 16 coins
The value of 25P. coins = Rs. 5 i.e., 20 coins
The ratio of coins = 20 : 16 : 20
The ratio of coins = 5 : 4 : 5
Total coins = 280
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Most Upvoted Answer
280 coins consist of 1 rupee, 50P. and 25P. coins. Their values are in...
Given:
280 coins consist of 1 rupee, 50P, and 25P coins.
Their values are in the ratio 20 : 8 : 5.

To Find:
Number of each coin.

Solution:

Step 1: Set up ratios for the values of the coins
Let the number of 1 rupee coins be 20x, 50P coins be 8x, and 25P coins be 5x.
The total value of the coins can be calculated as:
20x + 8x/2 + 5x/4 = 280
=> 40x + 4x + 5/4x = 280
=> 49.25x = 280
=> x = 280 / 49.25
=> x = 5

Step 2: Calculate the number of each coin
Number of 1 rupee coins = 20x = 20 * 5 = 100
Number of 50P coins = 8x = 8 * 5 = 40
Number of 25P coins = 5x = 5 * 5 = 25
Therefore, the number of each coin is:
1 rupee coins: 100
50P coins: 80
25P coins: 100
So, option 'A' (100, 80, 100) is the correct answer.
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280 coins consist of 1 rupee, 50P. and 25P. coins. Their values are in the ratio 20 : 8 : 5. Find the number of each coin.a)100, 80, 100b)70, 100, 100c)100, 110, 80d)110, 90, 80Correct answer is option 'A'. Can you explain this answer?
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