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A box consist of 5 rupees, 2 rupees and 1 rupee coins and their value are in the ratio of 15 : 4 : 2 respectively. If there are total 112 c…

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A box consist of 5 rupees, 2 rupees and 1 rupee coins and their value are in the ratio of 15 : 4 : 2 respectively. If there are total 112 coins, then how many 2 rupees coins are there in the box? 
  • A32
  • B48
  • C64
  • D24
Answer not set
0
CCommunity
Given that,

Total coins = 112

Let Rs. 15x be value of 5 rupees coins, Rs. 4x be the value of 2 rupees coins and 2x be the value of 1 rupee coins

According to the question,

15x/5 + 4x/2 + 2x/1 = 112

⇒ 3x + 2x + 2x = 112

⇒ 7x = 112

⇒ x = 16

∴ 2 rupees coins are there in the box = 4x/2 = 2x = 2 × 16 = 32
0
CCommunity
Given that,

Total coins = 112

Let Rs. 15x be value of 5 rupees coins, Rs. 4x be the value of 2 rupees coins and 2x be the value of 1 rupee coins

According to the question,

15x/5 + 4x/2 + 2x/1 = 112

⇒ 3x + 2x + 2x = 112

⇒ 7x = 112

⇒ x = 16

∴ 2 rupees coins are there in the box = 4x/2 = 2x = 2 × 16 = 32