Question

A man is engaged as a typist for 30 days on the condition that he receives rupees 175 for each day he works and has to pay Rs 50 for each day he remains absent if he receives rupees 4125 in all for how many days does he remains absent

Answer 1

Total days = 30
Money for each day = Rs 175
Money for 30 days = 175 × 30
= 5250
Absent days charge = Rs 50
Money he got = Rs 4125
Total charge for absent days = 5250 -
4125
= 1125
: no. Of absent days = 1125/50
= 22.5
Therefore he was absent for 22 days and a half day.

Answer 2

equation is let x be days he works so he is absent for 30 - x days
so equation is
175x-50(30-x)=4125, 175x-1500+50x=4125
225 x=5625
x =25
thus days worked 25 and absent 5