Q. A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 8. What is the minimum number of fruits in his shop?
- 100
- 120
- 160
- 140
EXPLANATION
O:A:G=2:5:8
LCM of 6&8 is 24
A-O=24x
5y-2y=24x
3y=24x
y=8x
To be the smallest number, x should be 1
So y=8
O:A:G=16:40:64
And just to double check above number satisfies given question
Sum = 15*8=120
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