A vessel contains 90 litres of mixture of Apple juice and Orange juice in the ratio of 5:4 and 6x litres of mixture is removed from the vessel and 4x litres of Orange juice is added to the vessel and the ratio of Apple juice and Orange juice becomes 10:11. Find the value of \u2018x\u2019.<\/p>\n\n\n\n
a. 5 litres<\/p>\n\n\n\n
b. 8 litres<\/p>\n\n\n\n
c. 3 litres<\/strong><\/p>\n\n\n\n d. 10 litres<\/p>\n\n\n\n e. None of these<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Initial quantity of Apple juice = 90 * 5\/9 = 50 litres<\/p>\n\n\n\n Initial quantity of Orange juice = 90 * 4\/9 = 40 litres<\/p>\n\n\n\n 6x litres of mixture is removed and 4x litres of orange juice is added and ratio becomes 10:11<\/p>\n\n\n\n (50 \u2013 6x*5\/9)\/(40 \u2013 6x*4\/9 + 4x) = 10\/11<\/p>\n\n\n\n (150 \u2013 10x)\/(120 + 4x) = 10\/11<\/p>\n\n\n\n 1650 \u2013 110x = 1200 + 40x<\/p>\n\n\n\n 450 = 150x<\/p>\n\n\n\n x = 3 litres<\/p>\n","protected":false},"excerpt":{"rendered":" A vessel contains 90 litres of mixture of Apple juice and Orange juice in the ratio of 5:4 and 6x litres of mixture is removed from the vessel and 4x litres of Orange juice is added to the vessel and the ratio of Apple juice and Orange juice becomes 10:11. Find the value of \u2018x\u2019. 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