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Question

A bag contains Rs. 510 in the form of 50p, 25p and 20p coins in the ratio 2:3:4. Find the number of coins of each type

A
200,300,400
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B
100,150,200
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C
400,600,800
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D
600,900,1200
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Solution

The correct option is C 400,600,800
Let the number of 50p, 25p and 20p coins be 2x,3x,and4x.
Then 2x×50100+3x×25100+4x×20100=510

x1+3x4+4x5=510

20x+15x+16x20=510

51x20=510

x=510×2051
x=200
2x=2×200=400
3x=3×200=600
4x=4×200=800.
Therefore, number of 50p coins, 25p coins and 20p coins are 400,600,800 respectively.

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