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A bag contains 25 paisa, 50 paisa and 1 Re. coins. There are 220 coins in all and the total amount in…

Let the number of 25p coins be \(x\) and 50p coins be \(y\). Then 1 Re coins \(= 3x\). Total coins: \(x + y + 3x = 4x + y = 220\). Total value: \(0.25x + 0.50y + 3x = 3.25x…

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A bag contains 25 paisa, 50 paisa and 1 Re. coins. There are 220 coins in all and the total amount in the bag is Rs. 160. If there are thrice as many as 1 Re. coins as there are 25 paisa coins, then what is the number of 50 paisa coins ?

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Correct answer C

Let the number of 25p coins be xx and 50p coins be yy. Then 1 Re coins =3x= 3x. Total coins: x+y+3x=4x+y=220x + y + 3x = 4x + y = 220. Total value: 0.25x+0.50y+3x=3.25x+0.5y=160  ⟹  6.5x+y=3200.25x + 0.50y + 3x = 3.25x + 0.5y = 160 \implies 6.5x + y = 320. Subtracting the two equations gives 2.5x=100  ⟹  x=402.5x = 100 \implies x = 40, so y=220−4(40)=60y = 220 - 4(40) = 60.

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