Question

X alone can do a piece of work in 6 days and y alone in 8 days. X and y undertook to do it for rs. 3200. With the help of z, they completed the work in 3 days. How much is to be paid to z? A. Rs. 375 b. Rs. 400 c. Rs. 600 d. Rs. 800

Answer 1

Answer:B) 400

Step-by-step explanation:Lcm for 6,8

, 3 is 24

Total work assumed as 24

X's 1 day work - 24/6=4

Y' s 1 day work - 24/8=3

By adding z they can complete in 3 days

So X's 3 day work will be - 3×4 =12

Y' s 3 day work will be - 3×9 = 9

Totally X+Y =21 (12+9) total work- remaining work = 24 -21 = 3

Z work will be 1 day/ per unit = 1×3 =3

X' s ratio will be 4, Y's ratio will be 3, Z ratio will be 1 total ratio will be 4+3+1= 8

Z amount will be= 1÷8×3200

Cancelling 8 and 3200 answer will be 400

So answer B