Question

An employer reduces the number of employees in the ratio $8:5$ and increase their wages in the ratio $7:9$. Therefore, the overall wages bill is

• A. Increased in the ratio $45:56$
• B. Decreased in the ratio $56:45$
• C. Increased in the ratio $13:17$
• D. Decreased in the ratio $72:35$

Answer 1

The correct option is B Decreased in the ratio $56:45$

Let no. of employee be $=8x$ and $5x$
Increase in wages be $7y,9y$
Wage bill earlier $=8x\times 7y=56xy$
Wage bill afterward $=5x\times 9y=45xy$
$\frac{56xy}{45xy}=56:45$.