Question

A shopkeeper gains 10% by selling a mixture of two types of rice for 30.5/kg. If the cost of the varieties
of rice mixed are 50 and 58 per kg respectively, then in what ratio are they mixed?​

Answer 1

Step-by-step explanation:

shopkeeper mixed 10 kg of rice costing Rs. 10 per kg with a certain quantity of another variety of rice costing Rs. 15 per kg. He sold the mixture at the rate of Rs. 14 per kg. What was the quantity of the second variety of rice, if he gained by 5 %?

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ANSWER

Let the quantity of second verity of rice =x kg

Then C.P. of the next mixture = 10×10+5×x= Rs. (100+5x)

S.P. of the mixture = (10+x)× Rs. 14= Rs. (140+14x)

Gain = (140+14x)−(100+15x)=40−x

∴ Gain %= (

100+15x

40−x

)×100=5

⇒ 4000−100x=500+75x

⇒ 175x=3500

⇒x=

175

3500

=20 kg

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