Question

30. An officer was appointed on maximum daily wages on contract money of Rs.

4956. But on being absent for some days, he was paid only Rs. 3894. For how

many days was he absent?

A. 3 B. 4 C. 5 D. 6​

Answer 1

Total money lost due to absence = 4956-3894 = 1062

Since 1062 is not divisible by 4 or 5

so number of days he was absent can either be 3 where he was charged 354 for each day he was absent

or 6 days where he was charged 177 for each day he was absent.

Answer 2

Answer:

HCF of 4956,3894

• divide both 4956 by 3894 by long division last remainder you will get 0 after dividing 708 by 354
• so HCF=354=Maximum daily wages
• the officer was appointed on contract money of rupees 4956=354×14 means appointed for 14 days .
• but he was paid rupees 3894=354×11 means he was present for 11 days.
• hence 14-11= 3 days

hence he was present for 3 days.

OR

(4956-3894)/354=3