2015 · Q11
A tin of oil was 4/5 full.When 6 bottles of oil were taken out from this tin and 4 bottles of oil were poured into it, it was 3/4 full.Oil of how many bottles can the tin contain ?(All bottles are of equal volume)
Elementary MathematicsHCF and LCM
- A35
- B40
- C45
- D50
Explanation
This is a linear equation in one variable about capacity. Let the tin hold C bottles when full: it starts with 4C/5 bottles, and after removing 6 and pouring in 4 it holds 4C/5 - 2 bottles, which equals 3C/4. The net loss of 2 bottles is 4/5 - 3/4 = 1/20 of the capacity, so C/20 = 2 and C = 40. Checking: 4/5 of 40 is 32 bottles, minus 2 gives 30, exactly 3/4 of 40. Hence option (b).