A varies as B and C jointly- and A - 2 when B - 3-5- C - 10-27- The value of A- when B - 2- C - 5-3 is

The correct option is A 30 Let #160; A=k× B× C where k is an integerputting the given values in this equation 2=k× 3 5 × 10 27 k=9 A=9× 2 ...

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Standard IX

Mathematics

Ratio and Proportion

A varies as ...

Question

$A$ varies as $B$ and $C$ jointly, and $A = 2$ when $B = \frac{3}{5}$ , $C = \frac{10}{27}$ . The value of $A$ , when $B = 2$ , $C = \frac{5}{3}$ is

30

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10

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\frac{36}{5}

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none of these

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Solution

The correct option is A $30$
Let
$A = k \times B \times C$ where k is an integer
putting the given values in this equation
$2 = k \times \frac{3}{5} \times \frac{10}{27}$
k=9
$A = 9 \times 2 \times \frac{5}{3}$
$A = 30$

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Similar questions

A

varies as

B

and

C

jointly; if

A = 2

when

B = \frac{3}{5}

and

C = \frac{10}{27}

, find

C

when

A = 54

and

B = 3

Q. If

y

varies jointly as

a

and

b

and inversely as the square root of

c

, and

y = 12

when

a = 3, b = 2,

and

c = 64

, find

y

when

a = 5, b = 2,

and

c = 25.

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when

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, and

d = 9

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when

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and

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Q. Value of

\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a b + b c + c a - a^{2} - b^{2} - c^{2}}

, when

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a

varies directly as

b

and varies inversely as

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a = 30

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and

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A varies as B and C jointly, and A=2 when B=35, C=1027. The value of A, when B=2, C=53 is

The correct option is A 30Let A=k×B×C where k is an integerputting the given values in this equation2=k×35×1027k=9A=9×2×53A=30

$A$ varies as $B$ and $C$ jointly, and $A = 2$ when $B = \frac{3}{5}$ , $C = \frac{10}{27}$ . The value of $A$ , when $B = 2$ , $C = \frac{5}{3}$ is

The correct option is A $30$
Let
$A = k \times B \times C$ where k is an integer
putting the given values in this equation
$2 = k \times \frac{3}{5} \times \frac{10}{27}$
k=9
$A = 9 \times 2 \times \frac{5}{3}$
$A = 30$