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Two blends of...

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 percent.

40

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45

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35

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50

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Solution

The correct option is B $40$ %
Let's assume the proportional value is $x$

So, First kind of tea $= 2 x$ kg and Second kind of tea $= 3 x$ kg

Now, $C P = \sum (A m o u n t \times C o s t p r i c e r a t e)$

$∴ C P = 2 x \times 35 + 3 x \times 40 = 190 x R s$

Amount of mixture $= 2 x + 3 x = 5 x k g$

Given that, $\frac{1}{5} t h o f m i x t u r e = x k g$ sold at $46 R s$ per kg and remaining $(5 x - x = 4 x k g)$ sold at $55 R s$ per kg

So, $S P = \sum (A m o u n t \times S e l l i n g p r i c e r a t e)$

$∴ S P = x \times 46 + 4 x \times 55 = 266 x R s$

Now, $P r o f i t = S P - C P = 266 x - 190 x = 76 x R s$

$∴ P r o f i t p e r c e n t a g e = \frac{P r o f i t \times 100}{C P} = \frac{76 x \times 100}{190 x} = 40 %$

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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.

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.