Min purchased a bottle of chikoo syrup to make drinks. She used ³₈ of the syrup in January. She then used the remaining syrup in February and March in the ratio 3 : 5. Given that the amount of the chikoo syrup used in January was 0.27 ℓ more than that in February, how many millilitres of chikoo syrup did the bottle contain at first?

January	February	March	Total
3x8	5x8		8x8
	3x5	5x5
24 u	15 u	25 u	64 u

Total volume of February and March is combined repeated identity.  Make the total volume of February and March the same.  LCM of 5 and 8 is 40.

Volume of more chikoo syrup in the bottle used in January than February
= 24 u - 15 u
= 9 u

9 u = 0.27 

1 u = 0.27 ÷ 9 = 0.03

Amount of chikoo syrup in the bottle at first
= 64 u
= 64 x 0.03
= 1.92 ℓ

1 ℓ = 1000 mℓ

Amount of chikoo syrup in the bottle at first
= 1.92 x 1000
= 1920 mℓ

Answer(s): 1920 mℓ