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A bag contains Rs 600 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 3:4:12. Find the total number of 25 paise coins in the bag.
  • a)
    75
  • b)
    200
  • c)
    300
  • d)
    900
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A bag contains Rs 600 in the form of one rupee, 50 paise and 25 paise ...
Let 3x,4x,12x are the coins of 1Rs,50-paise,25-paise coins
3x*1+4x*1/2+12x*1/4 = 600
3x+2x+3x =600
8x=600
x=75
25-paise coins=12*75=900
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A bag contains Rs 600 in the form of one rupee, 50 paise and 25 paise ...
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A bag contains Rs 600 in the form of one rupee, 50 paise and 25 paise ...
Given:
Total amount in the bag = Rs 600
Ratio of one rupee, 50 paise and 25 paise coins = 3:4:12

Let the common ratio be x. Then,
One rupee coins = 3x
50 paise coins = 4x
25 paise coins = 12x

Total value of one rupee coins = 3x × 1 = 3x
Total value of 50 paise coins = 4x × 0.50 = 2x
Total value of 25 paise coins = 12x × 0.25 = 3x

Total value of all coins = 3x + 2x + 3x = 8x
8x = 600
x = 75

Total number of 25 paise coins = 12x = 12 × 75 = 900

Therefore, the total number of 25 paise coins in the bag is 900. Answer: (d)
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A bag contains Rs 600 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 3:4:12. Find the total number of 25 paise coins in the bag.a)75b)200c)300d)900Correct answer is option 'D'. Can you explain this answer?
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