Question

15 men, 18 women and 12 boys working together earned Rs 2070. If the daily wages of a man, a woman and a boy are in the ratio 4 : 3 : 2, the daily wages (in Rs) of 1 man, 2 women and 3 boys are 

(a)135 

(b) 180 

(c)240 

(d) 205

Answer 1

(c) Rs 240

Suppose the daily wages of a man, a woman and a boy are 4k, 3k and 2k respectively.

∴ 15 x 4k + 18 x 3k + 12 x 2k = 2070 

⇒ 60k + 54k + 24k = 2070 

⇒ 138k = 2070 ⇒ k = 15. 

∴ Daily wages of a man, a woman and a boy are Rs 60, Rs 45 

∴ Daily wages of 1 man + 2 women + 3 boys 

= Rs 60 + 2 × Rs 45 + 3 × Rs 30 

= Rs 60 + Rs 90 + Rs 90 = Rs 240