In an office of 1200 employees the ratio of urban to rural members of staff is 8 7 Afier joining of ...........

Quantitative Aptitude (CPO) Ratio, Proportion

In an office of 1200 employees, the ratio of urban to rural members of staff is 8 : 7. Afier joining of some new employees. out of

which 20 are rural, the ratio becomes 5 : 4. The number of new urban employees is:

This questions was previously asked in

SSC CPO 15th-March-2019-Shift-1

100

108

- Initially, the ratio of urban to rural employees is 8:7.

- Total employees are 1200. Using the ratio, urban = $ \frac{8}{15} \times 1200 = 640 $; rural = $ \frac{7}{15} \times 1200 = 560 $.

- New employees join, including 20 rural, making the rural count 580.

- The new ratio of urban to rural is 5:4.

- Let $x$ be the new urban employees. The equation becomes:

$$ \frac{640 + x}{580} = \frac{5}{4} $$

- Solving:

- $4(640 + x) = 5 \times 580$

- $2560 + 4x = 2900$

- $4x = 340$

- Hence, $x = 85$.

- Option 2: 85 is the correct number of new urban employees.

Submit Error