8. A can contains a mixture of two
liquids A and B in the ratio 7:5.
When 9 litres of mixture are
drawn off and the can is filled
with B, the ratio of A and B be-
comes 7 : 9. Litres of liquid A
contained by the can initially was
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Solution : A/B = 7/5 ....(1)
A/ B+5 = 7/9 ...(2)
= ) Dividing 3nd equation in LHS by 'B' in Numerator and Denominator.
A/B/ 1+5/B = 7/9
=) 7/5 / 7/9 = 1+5/B
=) 9/5 = 1+5/B
=) 4/5 = 5/B
=) B = 25/4 from first equ
A/B = 7/5
=)A = 7/5 * 25/4=35/4 = 8.75 litres
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