IBPS Government Jobs Exams Numerical Ability Alligation or Mixture

A huge jar contains 2 liquids A and B in the ratio 7 : 4.When 12 litres of mixture is removed and replaced by B, the ratio now 4 : 7. The capacity of the vessel (in litres) is:
option
(1) 120
(2) 240
(3) 280
(4) 300
(5) 560

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IBPS Other Question
The value of x in the inequality 2x^2 - x + 15 < 0 is: Toffees are bought at 4 for a rupee and the same number at 6 for a rupee. Then, they
are mixed and sold at 5 per rupee. What is the net profit or loss?
(1) 2% loss
(2) 10% profit
(3) no profit or loss
(4) 4% loss
(5) None of these