Question discussion

A purse has Rs. 34.5 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 6 ∶ 9 ∶ 10. Find the number of 10-paise coins.

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A purse has Rs. 34.5 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 6 ∶ 9 ∶ 10. Find the number of 10-paise coins.
  • A10
  • B30
  • C20
  • D40
Answer not set
0
CCommunity
Let total coins in the purse are x.

⇒ 1-rupee, 50-paise and 10-paise coins would be 6x, 9x and 10x respectively.

Total amount is Rs. 34.5

⇒ 6x × 1 + 9x × 0.5 + 10x × 0.1 = 34.5

⇒ 6x + 4.5x + x = 34.5

⇒ 11.5x = 34.5

⇒ x = 3

∴ Number of 10-paise coins = 10 × 3 = 30
0
CCommunity
Let total coins in the purse are x.

⇒ 1-rupee, 50-paise and 10-paise coins would be 6x, 9x and 10x respectively.

Total amount is Rs. 34.5

⇒ 6x × 1 + 9x × 0.5 + 10x × 0.1 = 34.5

⇒ 6x + 4.5x + x = 34.5

⇒ 11.5x = 34.5

⇒ x = 3

∴ Number of 10-paise coins = 10 × 3 = 30