Usha purchased a bottle of vinegar. She used ³₅ of the vinegar in April. She then used the remaining vinegar in May and June in the ratio 1 : 2. Given that the amount of the vinegar used in June was 0.45 ℓ less than that in April, how many millilitres of vinegar did the bottle contain at first?

April	May	June	Total
3x3	2x3		5x3
	1x2	2x2
9 u	2 u	4 u	15 u

Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 2 and 3 is 6.

Volume of less vinegar syrup in the bottle used in June than April
= 9 u - 4 u
= 5 u

5 u = 0.45 

1 u = 0.45 ÷ 5 = 0.09

Amount of vinegar in the bottle at first
= 15 u
= 15 x 0.09
= 1.35 ℓ

1 ℓ = 1000 mℓ

Amount of vinegar in the bottle at first
= 1.35 x 1000
= 1350 mℓ

Answer(s): 1350 mℓ