Arun purchased two varieties of wheat – 30 kg of wheat at the rate of Rs.11.50 per kg and 20 kg of wheat at the rate of Rs.14.25 per kg. Approximately what price per kg should he sell the mixture of the two varieties of wheat to make an overall profit of 30%?

Rs.14.80

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Rs.15.40

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Rs.15.60

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Rs.16.38

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Rs.18.20

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Solution

The correct option is D
Rs.16.38

$C . P . o f 50 k g o f t h e m i x t u r e = R s . (30 \times 11.50 + 20 \times 14.25) = R s . (345 + 285) = R s . 630. S . P . o f 50 k g o f t h e m i x t u r e = 130 % o f R s . 630 = R s . (\frac{130}{100} \times 630) = R s . 819 .$

$∴ S . P . p e r k g = \frac{R s .819}{50} = R s .16 .38$

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Arun purchased two varieties of wheat – 30 kg of wheat at the rate of Rs.11.50 per kg and 20 kg of wheat at the rate of Rs.14.25 per kg. Approximately what price per kg should he sell the mixture of the two varieties of wheat to make an overall profit of 30%?

The correct option is D Rs.16.38 C.P. of 50kg of the mixture = Rs.(30×11.50+20×14.25)=Rs.(345+285)=Rs.630.S.P. of 50kg of the mixture = 130% of Rs.630=Rs.(130100×630)=Rs.819. ∴ S.P. per kg=Rs.81950 = Rs.16.38