Q21 of 35 Page 175

A trader by selling one kind of tea at Rs. 80/kg. makes a loss of 20% and makes a profit of 25% by selling another kind of tea at Rs. 200/kg. At what ratio these two types of tea should be mixed so that by selling it at Rs. 150/kg. the profit would be 25%?

If selling at Rs. 80/kg trader makes loss of 20%


Let the cost price be X


Then selling price = X- = = =


⇒ = Rs 80


X = = Rs. 100


∴ Cost price 1st tea is Rs. 100


If selling at Rs. 200/kg trader makes profit of 25%


Let the cost price be Y


Then selling price = Y + = = =


⇒ = Rs 200


X = = Rs. 160


∴ Cost price 2nd tea is Rs. 160


If selling at Rs. 150/kg trader makes profit of 25%


Let the cost price be Z


Then selling price = Z + = = =


⇒ = Rs 150


Z = = Rs. 120


∴ Cost price of mixed tea is Rs. 120


Let the amount of mixture of 1st tea be X


Then the amount of mixture of 2nd tea be 1 – X


X×100 + 160×(1-X) = 120


-60X = 120 – 160 = -40


X =


1 – X = 1 - =


Therefore


The ratio = : = 2:1


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