In which proportion must rice at Rs. 12 per kg. be mixed with rice at Rs.24 per kg. so that the mixture will be worth Rs. 16 per kg?

1 : 2

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1 : 3

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2 : 3

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2 : 1

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Solution

The correct option is A $1 : 2$
Say the required quantity is $x$ then

$\frac{x}{12} + \frac{x}{24} = \frac{1}{16}$

$(2 x + x) 16 = 24$

$x = \frac{1}{2}$

Hence, the required ratio is $1 : 2$

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In which proportion must rice at Rs. 12 per kg. be mixed with rice at Rs.24 per kg. so that the mixture will be worth Rs. 16 per kg?

The correct option is A 1:2Say the required quantity is x then x12+x24=116 (2x+x)16=24 x=12 Hence, the required ratio is 1:2

The correct option is A $1 : 2$
Say the required quantity is $x$ then

$\frac{x}{12} + \frac{x}{24} = \frac{1}{16}$

$(2 x + x) 16 = 24$

$x = \frac{1}{2}$

Hence, the required ratio is $1 : 2$