AFCAT Model Paper 5

GIVEN:
In the year 2018,
The ratio of the number of males and number of females in a village was 5 : 3.
In 2019,
The number of males increases by 10% while the number of females decreases by 10%.
FORMULA USED:
X% of a number Y=

(Y×X)

100

If a number ‘Y’ is increased by X%, increased number =Y×(1+

X

100

) CALCULATION:
Let number of males and females in village in 2018 were ‘5x’ and ‘3x’ respectively.
⇒ Number of males in 2019 = 110% of 5x = 5.5x
⇒ Number of females in 2019 = 90% of 3x = 2.7x
⇒ Total population in 2019 = 5.5x + 2.7x = 8.2x
∴ Required percentage increment =[

(8.2x–8x)

8

x]×100=2.5%