Direct Formula / Rule 1 :
Theorem: The proportion in which sugar at Rs. x per kg must be mixed with rice at Rs. y per kg, so that the mixture be worth Rs. z a kg, is given by
Example :
The proportion in which sugar at Rs. 3.10 per kg must be mixed with sugar at Rs. 3.60 per kg, so that the mixture be worth Rs. 3.25 a kg ?
Detail Method : Let the required ratio be x. y. As per Question, 310x + 360y = 325(x+y) or 310x + 360y = 325x + 325y 325x - 310x = 360y - 325y 150x = 350y 15x = 35y 3x = 7y
Ailigation Method : By the rule of alligation we have :
Quicker Method : Here you can use direct formula :