A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percentage is:

Q. Of the two varieties of rice available, variety A is bought at Rs.32 per kg and variety B at Rs.80 per kg. Two varieties of rice are mixed together in the respective ratio of 8:5 and the mixture is sold at Rs.72 per kg. What per cent of profit approximately the seller receives ?

A trader mixes $26$ kg of rice at Rs. $20$ per kg with $30$ kg of rice of other variety at Rs. $36$ per kg and sells the mixture at Rs. $30$ per kg. What is his profit percent?

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A grocer buys two kinds of rice X and Y, one X kg at the rate of Rs. a per kg and the other Y kg at the rate of Rs. b per kg. He mixes them and obtains a mixture of Rs. c per kg. What is the ratio of the variety X to that of variety Y in the mixture?

The correct option is D (b−c):(c−a)Cost of variety X rice = Rs. XaCost of variety Y rice = Rs. YbCost of mixture = Rs. (X+Y) cNow, Xa+Yb = (X+Y)c⇒X(a−c)=(c−b)⇒XY=c−ba−c=b−cc−a∴ X:Y = (b-c) : (c-a).

A grocer buys two kinds of rice $X$ and $Y$ , one $X$ kg at the rate of Rs. $a$ per kg and the other $Y$ kg at the rate of Rs. $b$ per kg. He mixes them and obtains a mixture of Rs. $c$ per kg. What is the ratio of the variety $X$ to that of variety $Y$ in the mixture?

The correct option is D $(b - c) : (c - a)$
Cost of variety X rice = Rs. Xa
Cost of variety Y rice = Rs. Yb
Cost of mixture = Rs. (X+Y) c
Now, Xa+Yb = (X+Y)c
$\Rightarrow X (a - c) = (c - b) \Rightarrow \frac{X}{Y} = \frac{c - b}{a - c} = \frac{b - c}{c - a}$
$∴$ X:Y = (b-c) : (c-a).