A purse contains some coins consisting of rupees, fifty paise coins, and twenty-five paise coins. If coins are in the ratio of 2: 3: 10 and their total value is ₹72, the number of twenty-five paise - Mathematics

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MCQ

A purse contains some coins consisting of rupees, fifty paise coins, and twenty-five paise coins. If coins are in the ratio of 2: 3: 10 and their total value is ₹72, the number of twenty-five paise coins will be

Options

  • 100

  • 140

  • 120

  • 80

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Solution

120

Explanation:

Let no. of coin 1 rupee, 50 paise, and 25 paise be 2x, 3x and 10x respectively
ATQ

`2"x"+(3"x")/2+(10"x")/4=72`

`(8"x"+6"x"+10"x")/4=72`

24x = 72 × 4

x = 12

∴ No. of 25 paise Coin = 10 × 12 = 120

Concept: Number System (Entrance Exam)
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