In what ratio must a grocer mix two varieties

Asked by admin @ in Math viewed by 400 People

In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs.20 per kg

respectively so as to get a mixture worth Rs.16.50 kg?
a) 3 : 7
b) 5 : 7
c) 7 : 3
d) 7 : 5
e) None of these

Answered by admin @


Let the amount of pulse of price ₹15 = x
and the amount of pulse of price ₹20 = y

Then total amount of mixture = x+y kg

total cost of mixture = 15x + 20y

but the price per kg of the mixture= ₹16.50

so, total price of x+y kg = 16.50(x+y)

According to question;

16.50(x+y) = 15x + 20 y

or, 16.50x + 16.50y = 15x + 20y

or, 1.50x = 3.50y

or, x/y = 3.50/1.50 = 0.7/0.3 = 7/3

so, required ratio is 7 : 3.





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