If a:b = 12/5:3/10 and b:c = 7/9:12/7 then a:c is Option 1: 98/27 Option 2: 24/25 Option 3: 27/98 Option 4: 25/24

Answer: 98/27. Solution: The given ratios are a:b = 12/5:3/10 and b:c = 7/9:12/7. To simplify a:b = 12/5:3/10: a/b = (12/5)/(3/10) a/b = 12/5 x 10/3 a/b = 120/15 a/b = 8 To simplify b:c = 7/9:12/7: b/c = (7/9)/(12/7) b/c = 7/9 x 7/12 b/c = 49/108 To find a:c: a/c = a/b x b/c a/c = 8 x 49/108 a/c = 392/108 a/c = 98/27 Therefore, a:c = 98/27

Arithmetic

Ratio, Proportion & Variation

Medium

If $a:b = \frac{12}{5}:\frac{3}{10}$ and $b:c = \frac{7}{9}:\frac{12}{7}$ then $a:c$ is

$\frac{98}{27}$

$\frac{24}{25}$

$\frac{27}{98}$

$\frac{25}{24}$

✅ Correct Option: 1

The given ratios are $a:b = \frac{12}{5}:\frac{3}{10}$ and $b:c = \frac{7}{9}:\frac{12}{7}$ .

To simplify $a:b = \frac{12}{5}:\frac{3}{10}$ :

$\frac{a}{b} = \frac{12/5}{3/10}$

$\frac{a}{b} = \frac{12}{5} \times \frac{10}{3}$

$\frac{a}{b} = \frac{120}{15}$

$\frac{a}{b} = 8$

To simplify $b:c = \frac{7}{9}:\frac{12}{7}$ :

$\frac{b}{c} = \frac{7/9}{12/7}$

$\frac{b}{c} = \frac{7}{9} \times \frac{7}{12}$

$\frac{b}{c} = \frac{49}{108}$

To find $a:c$ :

$\frac{a}{c} = \frac{a}{b} \times \frac{b}{c}$

$\frac{a}{c} = 8 \times \frac{49}{108}$

$\frac{a}{c} = \frac{392}{108}$

$\frac{a}{c} = \frac{98}{27}$

Therefore, $a:c = \dfrac{98}{27}$

2024

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2026: 22 May Shift 2

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The monthly salary of A, B and C are in the ratio 2:3: 5. If C's monthly salary is Rs.1200 more than that of A, then B's annual salary is:

If a:b=125:310a:b = \frac{12}{5}:\frac{3}{10}a:b=512​:103​ and b:c=79:127b:c = \frac{7}{9}:\frac{12}{7}b:c=97​:712​ then a:ca:ca:c is

Solution

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CUET General Test Past Year Questions (Topic-Wise)

If $a:b = \frac{12}{5}:\frac{3}{10}$ and $b:c = \frac{7}{9}:\frac{12}{7}$ then $a:c$ is