Maths : Basic Numeracy

Q 293 / 370

UPSC CSE Prelims 2016

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?

EXPLANATION

Correct Option (C)

The total daily production is 1000 units. Out of this, 5% are unfit for sale.

  • Units unfit for sale per day = \( \frac{5}{100} \times 1000 = 50 units \).
  • Units fit for sale per day = \( 1000 - 50 = 950 units \).

The customer order is for 19000 units. To determine the number of days required to complete the order, divide the total order quantity by the number of units fit for sale per day:

  • Days required = \( \frac{19000}{950} = 20 days \).

Incorrect Options:

Options (A) 18, (B) 19, and (D) 22 are incorrect. The calculation based on the daily production of saleable units and the total order quantity precisely yields 20 days, indicating that these alternatives do not represent the correct duration for order completion.