Question

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
A.2 : 3 : 4
B.6 : 7 : 8
C.6 : 8 : 9
D.None of these

Answer 1

$\huge{\underline{\bold{Solution}}}$



Let the number of seats for Mathematics Physics and Biology be 5x, 7x and 8x respectively.



Here, Mathematics = 5x

Physics = 7x

Biology = 8x

Now, According to the Question Statement!



*There is a proposal to increase these seats*

So, In Mathematics 40% of 5x

=1 40/100×5x

= 700x/100

= 7x --------(1)


So, In Physics 50% of 7x

=1 50/100×7x

= 1050x/100

= 21x/2-----(2)


So, In Biology

= 175/100 × 8x

= 1400x/100

= 14x -----(3)



From Equation (1),(2) and (3)!


7x: 21x/2:14x

= 14x : 21x : 28x

= 2: 3 : 4


Hence, Required the Ratio of Increased seats 2: 3 : 4.

Answer 2

Answer:

Step-by-step explanation:

Let the number of seats for Mathematics Physics and Biology be 5x, 7x and 8x respectively.

Here, Mathematics = 5x

Physics = 7x

Biology = 8x

Now, According to the Question Statement!

*There is a proposal to increase these seats*

So, In Mathematics 40% of 5x

=1 40/100×5x

= 700x/100

= 7x --------(1)

So, In Physics 50% of 7x

=1 50/100×7x

= 1050x/100

= 21x/2-----(2)

So, In Biology

= 175/100 × 8x

= 1400x/100

= 14x -----(3)

From Equation (1),(2) and (3)!

7x: 21x/2:14x

= 14x : 21x : 28x

= 2: 3 : 4

Hence, Required the Ratio of Increased seat ratio is 2:3:4