× logo

The Free 30-Day CAT RC Course

"It is designed to help you excel in the upcoming CAT 2024 exam"

-By Lavleen Kaur Kapoor. Over 2,00,000+ Subscribers

read more

No thanks >

Question

In an ice-cream factory, 30% of total Vanilla-flavored ice-cream produced is mixed with 40% of total Banana-flavored ice-cream produced, in a ratio of 1:1. Find the overall percentage of ice-cream produced which is mixed with each other. (Ice-creams of only these 2 flavors are produced in the factory)

CAT 2021

A
17.14%
CORRECT ANSWER WRONG ANSWER
B
34.28%
CORRECT ANSWER WRONG ANSWER
C
35%
CORRECT ANSWER WRONG ANSWER
D
More information required
CORRECT ANSWER WRONG ANSWER
Solution

Correct option is

(B)

Explanatory Answer :

Let the total vanilla flavoured ice-cream produced = a

Let the total banana flavoured ice-cream produced = b

Thus,

30% of a = 40% of b ( As ratio is 1:1) (1)

= ab = 43

Adding 1 to both sides of the equation -

= ab + 1 = 43 + 1

= (a+b)b = 73

= b(a+b) = 37

Total ice-cream mixed = 0.3a + 0.4b = 0.4b + 0.4b = 0.8b ( Using eq 1)

Percentage of overall ice-cream mixed = 0.8b(a+b)×100

= 0.8×37×100

= 34.28%