Ratio, Proportion
- A bag contains three types of coins-rupee-coins. 50p-coins and 25 p-coins totalling 175 coins. If
the total value of the coins of each kind be the same, the total amount in the bag is
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Let the number of coins of 1- rupee coin be x.
Total value of the coins of each kind is same, then the number of 50 paisa coins = 2x and the number of 25 paisa coins = 4x.
According to the question.
x + 2x + 4x = 175
7x = 175∴ x = 175 = 25 7
∴ Total amount in bag
= 25 + 25 + 25 = ₹ 75Correct Option: A
Let the number of coins of 1- rupee coin be x.
Total value of the coins of each kind is same, then the number of 50 paisa coins = 2x and the number of 25 paisa coins = 4x.
According to the question.
x + 2x + 4x = 175
7x = 175∴ x = 175 = 25 7
∴ Total amount in bag
= 25 + 25 + 25 = ₹ 75
- A man has in all ₹ 640 in the denominations of one-rupee, fiverupee and ten-rupee notes. The number of each type of notes are equal. What is the total number of notes he has ?
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Let the number of each type of notes be x
∴ x + 5x + 10 x = 640
⇒ 16 x = 640 ⇒ x = 40
∴ Total number of notes
= 3 × 40 = 120Correct Option: B
Let the number of each type of notes be x
∴ x + 5x + 10 x = 640
⇒ 16 x = 640 ⇒ x = 40
∴ Total number of notes
= 3 × 40 = 120
- A boy has a few coins of denominations 50 paise, 25 paise and 10 paise in the ratio 1 : 2 : 3. If the total amount of the coins is ₹ 6.50, the number of 10 paise coins is
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Ratio of the value of coins = 1 : 2 : 3 2 4 10
= 5 : 5 : 3
∴ Value of the 10-paise coins= ₹ 
3 × 6.50 
= ₹ 1.5 13
∴ Number of 10-paise coins = 1.5 × 10 = 15Correct Option: C
Ratio of the value of coins = 1 : 2 : 3 2 4 10
= 5 : 5 : 3
∴ Value of the 10-paise coins= ₹ 3 × 6.50 = ₹ 1.5 13
∴ Number of 10-paise coins = 1.5 × 10 = 15
- A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13 : 11. The number of one-rupee coins is
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Respective ratio of the number of coins
= 13 : 11 × 2 = 13 : 22∴ Number of 1 rupee coins = 13 × 210 13 + 22 = 13 × 210 = 78 35 Correct Option: D
Respective ratio of the number of coins
= 13 : 11 × 2 = 13 : 22∴ Number of 1 rupee coins = 13 × 210 13 + 22 = 13 × 210 = 78 35
- In a bag, there are three types of coins — 1-rupee, 50 paise and 25-paise in the ratio of 3 : 8 : 20. Their total value is ₹ 372. The total number of coins is
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Ratio of the number of coins of Re. 1, 50 paise and 25 paise = 3 : 8 : 20
Ratio of the values of these coins= 3 : 8 : 20 = 3 : 4 : 5 2 4 ∴ Value of 1 rupee coins = 3 × 372 = ₹ 93 12 Value of 50 paise coins = 4 × 372 = ₹ 155 12
∴ Number of coins
= 93 + 124 × 2 + 155 × 4
= 93 + 248 + 620 = 961Correct Option: B
Ratio of the number of coins of Re. 1, 50 paise and 25 paise = 3 : 8 : 20
Ratio of the values of these coins= 3 : 8 : 20 = 3 : 4 : 5 2 4 ∴ Value of 1 rupee coins = 3 × 372 = ₹ 93 12 Value of 50 paise coins = 4 × 372 = ₹ 155 12
∴ Number of coins
= 93 + 124 × 2 + 155 × 4
= 93 + 248 + 620 = 961
