Question 24

An employer reduces the number of his employees in the ration 9 : 8 and increases their wages in the ration 14 :15. If the original wage was Rs, 18,900, find the ratio in which the wage bill is decreased

Solution

original number of employees = 9x

present number of employees = 8x

original wages = 14y

present wages = 15y

let original wage bill = $$ 9x \times 14y = 126xy $$

present wage bill = $$ 8x \times 15y = 120xy $$

wage bill ratio original : present = 126xy : 120xy = 21 : 20

thus wage bill decreased in the ratio 21 : 20

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