Question

A soap company interviewed 800 people in the city.it was found out that 3/8 use brand A soap, 1/5 use brand B soap, 1/2 use brand C soap, 70 use brand A and B soap, 55 use brand B and c soap, 60 use brand A and c soap and 1/4 use all the three brands find no of people who use at least one brand soap

Answer 1

# Answer = 475.

# Explaination-

Number of people using brand A soap = 3/8 ×800 = n(A) = 300

Number of people using brand A soap = 1/5 ×800 = n(B) = 160

Number of people using brand A soap = 1/2 ×800 = n(C) = 400

Number of people using brand A and B soap = n(A+B) = 70

Number of people using brand B and C soap = n(B+C) = 55

Number of people using brand A and C soap = n(A+C) = 60

Number of people using brand A,B and C soap = 1/4 ×800 = n(A+B+C) = 200

People using at least one soap = n(A)+n(B)+n(C)-n(A+B)-n(B+C)-n(A+C)-n(A+B+C)

People using at least one soap = 300+160+400-70-55-60-200 = 475

People using at least one soap = 475.

Hope this helps...