Two quantities A and B are in the ratio 4 : 7. If the smaller quantity is doubled and the larger quantity is halved, then new ratio will be .

16 : 7

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15 : 7

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18 : 6

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Solution

The correct option is A 16 : 7
Given
A : B = 4 : 7
Quantity of A is doubled = 8x
Quantity of B is halved = 3.5x
New ratio
$\frac{A}{B} = \frac{8 x}{3.5 x} = \frac{80}{35} = \frac{16}{7}$
A : B = 16 : 7

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Two quantities A and B are in the ratio 4 : 7. If the smaller quantity is doubled and the larger quantity is halved, then new ratio will be .

The correct option is A 16 : 7Given A : B = 4 : 7 Quantity of A is doubled = 8x Quantity of B is halved = 3.5x New ratio AB=8x3.5x=8035=167 A : B = 16 : 7

The correct option is A 16 : 7
Given
A : B = 4 : 7
Quantity of A is doubled = 8x
Quantity of B is halved = 3.5x
New ratio
$\frac{A}{B} = \frac{8 x}{3.5 x} = \frac{80}{35} = \frac{16}{7}$
A : B = 16 : 7