Question
A merchant combines two kinds of pulses, labeled 'P' and
'Q'. The purchase prices for type 'P' and 'Q' are Rs. 80 per kg and Rs. 108 per kg, respectively. The blend is sold for Rs. 120 per kg, yielding a 25% profit margin. What is the proportion of the quantity of 'P' pulses to 'Q' pulses in the mix?Solution
ATQ, Cost price of the mixture = (120/1.25) = Rs.96/kg Let the quantity of type 'P' and type 'Q' pulses mixed be 'a' kg and 'b' kg, respectively. [(80×a)+(108×b)/(a+b)]= 96 ATQ, Or, 80a + 108b = 96a + 96b Or, 96a - 80a = 108b - 96b Or, 16a = 12b So, a:b = 12:16 = 3:4
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