An employee pays Rs. 26 for each day a worker and forfeits Rs. 7 for each day he idle. At the end of 56 days, if the worker got Rs. 829, for how many days did the worker remain idle?
An employee pays Rs. 26 for each day a worker and forfeits Rs. 7 for each day he idle. At the end of 56 days, if the worker got Rs. 829, for how many days did the worker remain idle? Correct Answer 19
His Per day pay = Rs. 26Total pay employee got = Rs. 829Total pay he gets if he did not remain idle a single day,= 26 × 56 = Rs.1456 He Forfeits or fined = 1456 - 829 = Rs. 627Per day he Forfeits Rs. 7 Means per idle day he loses = 26 + 7 = Rs. 33So, Total idle days = $$\frac{{627}}{{33}}$$ = 19 daysAlternatively,Let he works for X days and remain idle for (56 - X)Now, According to question,X × 26 - 7 × (56 - X) = 82926X + 7X - 392 = 82933X = 829 + 392 = 1221X = 37 daysNumber of days remain idle = 56 -37 =19 days