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Question

(ix) A man gets Rs. 100 per day if he works, but he is fined by Rs 10 per day if he is absent. In the whole month of April he received Rs 1900 only. How many days did he work?

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Solution

Suppose, the man works for x days and he was absent for y days. Money he gets for x days = Rs 100 xMoney he would be fined for y days = Rs 10y Therefore, he would get = Rs 100x-10y According to the question,100x-10y=190010x-y=190 ...(1) Days in April =30Therefore, x+y=30 x=30-y ....(2) Substituting eq (2) in eq (1), 10×30-y-y=190300-10y-y=19011y=110y=10Substituting y=10 in eq (2),x=30-10x=20Therefore, the man works for 20 days.

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