CAT 2022 Set-1 | Quantitative Aptitude | Question: 5

Question

In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If 3600 males in the village are literate, then the total number of females in the village is

Answer 1

i am gonna use abbreviation for simplicity

M/F = 5k/4k (i)

LM/LF= 2b/ 3b (ii)

IM/IF = 4c/3c iii

LM = 3600 = 2b  => b=1800

LM=3600

LF=5400

 Linear equation

5k = 2b+4c iv

4k = 3b+3c  v

3.iv – 4v => k=6b => k=10,800

total Female = 4k=4* 10,800 =43200