1.

An employer reduces the number of his employees in the ratio 8 : 7 and increases their wages in the ratio 17 : 24. State whether his bill of total wages increases or decreases, and in what ratio.1). 21 : 192). 19 : 213). 21 : 174). 17 : 21

Answer»

The employer REDUCES the NUMBER of employees in the ratio 8 : 7

Let the COMMON multiple be ‘x’

∴ the number of employees before and after will be 8X and 7x respectively

The employer increases the wages in the ratio 17 : 24

Let the common multiple be y

∴ The wages before and after the hike will be 17y and 24y respectively

Ratio of expenses = $(\FRAC{{old\;number\;of\;employees \times old\;wages}}{{new\;number\;of\;employees\; \times new\;wages}})$

⇒ Ratio of expenses = $(\frac{{8x \times 17y}}{{7x \times 24y}})$

∴ The required ratio of expenses = 17/21


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