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Ratio and Proportion

If a:b=2:1,...

Question

If $a : b = 2 : 1$ , then $\frac{a + 2 b}{3 a + 4 b} =$

A

\frac{5}{8}

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B

\frac{2}{5}

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C

\frac{3}{7}

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D

\frac{1}{3}

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Solution

The correct option is B $\frac{2}{5}$
$\frac{a}{b} = \frac{2}{1} ⟹ a = 2 b$
$\frac{a + 2 b}{3 a + 4 b} = \frac{2 b + 2 b}{3 (2 b) + 4 b} = \frac{4 b}{10 b} = \frac{2}{5}$

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Similar questions

a : b = 2 : 5

(3 a + 4 b) : (5 a + 6 b)

Q. Mark (✓) against the correct answer
If (3a + 5b) : (3a − 5b) = 5 : 1, then a : b = ?

(a) 2 : 1
(b) 3 : 2
(c) 5 : 2
(d) 5 : 3

a : b = 3 : 5

(3 a + 5 b) : (7 a - 2 b) .

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 5 & 7 6 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦

B = ⎡ ⎢ ⎣ \begin{matrix} 2 & 0 & 3 3 & 0 & 5 5 & 7 & 0 \end{matrix} ⎤ ⎥ ⎦

, then find the value of

3 A - 2 B

a : b = \frac{2}{9} : \frac{1}{3}, b : c = \frac{2}{7} : \frac{5}{14}, d : c = \frac{7}{10} : \frac{3}{5},

a : b : c : d

.

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