Two casks of 48 and 42 liters are filled with mixture of

Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result?

Ratio of wine to water, when 20 litre of water are not added

=		13 × 48	+	18 × 42		:		7 × 48	+	17 × 42
		20		35				20		35

Ratio of wine to water, when 20 litre of water are not added = 264 : 186 = 44 : 31
Now, 20 litres of water are added .

Quantity of wine =	48 + 42	× 44
	44 + 31

Quantity of wine =	264	litres
	5

and Quantity of water = 20 +		48 + 42	× 31
		44 + 31

Quantity of water =	186	+ 20
	5

Quantity of water =	286
	5

∴ Required ratio =	264	:	286
	5		5

Thus , Required ratio = 12 : 13