**Direction: **Read the information carefully and answer the following questions:

In a school of 750 students, each student likes atleast one of 3 colors- Red, Green and Blue. 109 students like only red color, 150 students like only green color and 125 students like only blue color. The number of students who like red and green colors only is 70% of the students who like only green color. The number of students who like red and blue colors only is 60% of the students who like only blue color. 100 students like all the colors.

The number of students who like red and green colors only is how much percent more than the number of students who like red and blue colors only?

This question was previously asked in

IBPS RRB Officer Scale - 1 August 2021 Shift 1 Memory Based Test

Option 2 : 40%

**Given:**

Total number of students = 750

The number of students who like red and green colors only = 70% of 150 students

and The number of students who like red and blue colors only = 60% of 125 students

**Formula used:**

Percentage = (Favourable value/Base value) × 100

**Calculation:**

Number of students who like red and green colors only = (70/100) × 150

⇒ 105 students

Number of students who like red and blue colors only = (60/100) × 125

⇒ 75 students

Now, required percent = [(105 – 75)/75] × 100

⇒ (30/75) × 100

⇒ 40%

**∴ The number of students who like red and green colors only is 40% more than the number of students who like red and blue colors only.**