There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per day out of which 5% are unfit for sale. In how many days will the order be completed ?
- (a) 18
- (b) 19
- (c) 20 ✓ UPSC's answer
- (d) 22
Why the answer is (c)
• The firm produces 1000 units per day, but 5% are unfit for sale, meaning only 95% are sellable.
• Calculate the daily sellable output: 1000 * (1 - 0.05) = 950 units per day.
• Divide the total order quantity by the daily sellable output: 19000 / 950.
• The calculation yields exactly 20 days.
• Therefore, the order will be completed in 20 days, which corresponds to option (c).
Why the other options are wrong
- (a) 18
- 18 days would only produce 17,100 sellable units (18 * 950), which is less than the required 19,000.
- (b) 19
- 19 days would only produce 18,050 sellable units (19 * 950), which is less than the required 19,000.
- (d) 22
- 22 days would produce 20,900 sellable units (22 * 950), which exceeds the required 19,000, meaning the order would have been completed earlier.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2016, held on 7 August 2016. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.