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An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 ∶ 1.6 ∶ 1. The amount total in the urn was Rs. 630. Determine the number of coins.
  • a)
    70
  • b)
    90
  • c)
    148
  • d)
    168
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 1.6 1. Th...
GIVEN:
Total amount = Rs 630
Ratio of coins respectively for 1, 5 and 10-rupee coins = 3 ∶ 1.6 ∶ 1
CALCULATION:
⇒ Ratio can be written in terms of whole numbers as: 15 ∶ 8 ∶ 5                  (Multiplied by 5)
Let the no. of coins be 15x, 8x and 5x.
⇒ Total amount by 1-rupee coins = 1 × 15x = 15x         ----(1)
⇒ Total amount by 5-rupee coins = 5 × 8x = 40x         ----(2)
⇒ Total amount by 10-rupee coins = 10 × (5x) = 50x       ----(3)
⇒ 15x + 40x + 50x = 630                (From (1), (2) and (3))        ----(4)
⇒ 105x = 630
⇒ x = 630/105 = 6
No. of 1-rupee coins = 15x = 15 × 6 = 90
No. of 5-rupee coins = 8x = 8 × 6 = 48
No. of 10-rupee coins = 5x = 5 × 6 = 30
∴ Total no. of coins = 90 + 48 + 30 = 168 coins
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Most Upvoted Answer
An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 1.6 1. Th...
GIVEN:
Total amount = Rs 630
Ratio of coins respectively for 1, 5 and 10-rupee coins = 3 ∶ 1.6 ∶ 1
CALCULATION:
⇒ Ratio can be written in terms of whole numbers as: 15 ∶ 8 ∶ 5                  (Multiplied by 5)
Let the no. of coins be 15x, 8x and 5x.
⇒ Total amount by 1-rupee coins = 1 × 15x = 15x         ----(1)
⇒ Total amount by 5-rupee coins = 5 × 8x = 40x         ----(2)
⇒ Total amount by 10-rupee coins = 10 × (5x) = 50x       ----(3)
⇒ 15x + 40x + 50x = 630                (From (1), (2) and (3))        ----(4)
⇒ 105x = 630
⇒ x = 630/105 = 6
No. of 1-rupee coins = 15x = 15 × 6 = 90
No. of 5-rupee coins = 8x = 8 × 6 = 48
No. of 10-rupee coins = 5x = 5 × 6 = 30
∴ Total no. of coins = 90 + 48 + 30 = 168 coins
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An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 1.6 1. The amount total in the urn was Rs. 630. Determine the number of coins.a)70b)90c)148d)168Correct answer is option 'D'. Can you explain this answer?
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An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 1.6 1. The amount total in the urn was Rs. 630. Determine the number of coins.a)70b)90c)148d)168Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 1.6 1. The amount total in the urn was Rs. 630. Determine the number of coins.a)70b)90c)148d)168Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An urn consists of coins of Re. 1, 5 and 10 in the ratio 3 1.6 1. The amount total in the urn was Rs. 630. Determine the number of coins.a)70b)90c)148d)168Correct answer is option 'D'. Can you explain this answer?.
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