Question

Two blends of tea costing Rs 35 per kg and Rs 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs 46 per kg and the remaining at the rate of Rs 55 per kg, find the profit per cent.

Answer 1

Correct option is A. 40%

As the ratio is 2 : 3 for mixing both the blends of tea, let as assume that the quantity of tea costing Rs. 35 is 2 Kg and the quantity of tea costing Rs. 40 is 3 kg.
C.P of 5 Kgs of mixed tea = ( Rs. 35 $$\times $$ 2) + ( Rs. 40 $$\times $$ 3)
= Rs. 190
As mentioned one-fifth of the total quantity $$\left( \dfrac { 1 }{ 5 } \times 5Kg \right) $$ that is 1 Kg was sold at Rs. 46 a Kg, remaining 4 Kg was sold at Rs. 55 per Kg so
S.P. = $$\left( 1\times 46 \right) +\left( 4\times 55 \right) $$
= Rs. 46 + Rs. 220 = Rs. 266
Profit = S.P $$-$$ C.P
= Rs. 266 $$-$$ Rs.190
= Rs. 76
Profit Percentage = $$\dfrac { P\times 100 }{ CP } $$ = $$\dfrac { 76\times 100 }{ 190 } $$ = 40%
Ans. Profit = 40 %