15 men, 18 women and 12 boys working together earned Rs 2070. If the d

1.	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» (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

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»

(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