Time and Work Actual Question in NCAT 2023

1. Due to stiff competition, a soft drink company decreased its price by 50% and starts selling the drink in 200 ml. bottles instead of the previous 300 ml. bottles. Other things being constant, what is the decrease in revenue in percentage terms for every 100 ml. sold? (ml. = milli litre)
a. 20%
b. 25%
c. 33 1/3%
d. 50%

2. A certain number of men can finish a piece of work in 100 days. If however there were 10 men less, it would take another 10 days to finish the work. How many men were there originally?
a. 50
b. 75
c. 82
d. 110

EXPLANATION

Let the original number of men=x.

So, x men finish the work in 100 days.

After 10 men leave,

x−10 men finish the work in (100+10)=110 days.

Now the number of men is inversely proportional to the number of days in which they finish the work.

∴x / x−10=110 / 100

100x=110x−1100

x=110.
So the original number of men was 110.

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