N what proportion must a grocer mix two teas, one priced rs. 1.25/kg and the other rs. 1.50/kg so that .The mixture may be worth rs. 1.30/kg?
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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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