Seats for Mathematics , Physics and Chemistry in a school are in the ratio of 7 : 8 : 9. There is a proposal to increase the seats by 30% , 40% and 50% respectively. What will be the ratio of increased seats?

Correct option is A

Given:

Seats for Mathematics, Physics and Chemistry in a school are in the ratio of 7 : 8 : 9

There is a proposal to increase the seats by 30%, 40% and 50% respectively.

Formula used:

Incremented value = Initial value (1 + Increased%)

Solution:

Let the common ratio be Q.

Hence, the seats of Mathematics, Physics and Chemistry are 7Q, 8Q and 9Q respectively.

After the increment,

Seats of Mathematics = 7Q × 1.3 = 9.1Q

Seats of Physics = 8Q × 1.4 = 11.2Q

Seats of Chemistry = 9Q × 1.5 = 13.5Q

Hence, the new ratio = 9.1 : 11.2 : 13.5 = 91 : 112 : 135

∴ The ratio of the increased seats will be 91 : 112 : 135.