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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 percent.

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40

45

35

50

answer is A.

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Detailed Solution

Given,
Two blends of tea costing Rs

per kg and Rs

per kg respectively.
Let's assume the proportional value is

y

So, first kind of tea

= 2 y

kg and Second kind of tea

= 3 y

kg
Now,

C .P . = ∑ Amount × Cost price rate

C .P . = 2 y × 35 + 3 y × 40

⇒Rs.190 y
Volume of mixture

= 2 y + 3 y = 5 y k g

According to the given condition,

15

the of mixture

= y k g

sold at

R s .46

per kg and remaining

5 y − y = 4 y k g

sold at

R s .55

per kg
So,

S .P . = ∑ Amount × Selling price rate

S .P . = y × 46 + 4 y × 55 ⇒ S .P . = R s .266 y

We know that,

Profit = S .P . − C .P .

Profit,

266 y − 190 y ⇒ R s .76 y

Thus, Profit

% = Profit × 100 C .P .

⇒ 76 y × 100 190 y ⇒ 40 %

Thus, profit percentage is of 40%.
Hence, the correct option is 1.

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