Question

In a college the seats of arts, commerce and science are in the ratio of 5: 7: 8 respectively. There is a proposal of increase in seats by 40%,50%,and 70% respectively. what will be the ratio after increased seats.​

Answer 1

Step-by-step explanation:

arts:commerce:science

5: 7:8

5×40/100:7×50/100:8×70/100

20:7/2:28/5

now 20-5: 7/2-7: 28/5-8

15: -7/2: -12/5

Answer 2

The ratio after increased seats for arts, commerce, and science is 70:105:136.

Given:

The seats of arts, commerce, and science are in the ratio of 5:&:8

To Find:

The ratio after increased seats.

Solution:

Let the number of seats in arts, commerce, and science be 5x,7x, and 8x.

Arts seats are increased by 40%

= 5x+ $\frac{40}{100}$×5x

= 5x+2x

=7x

Commerce seats are increased by 50%

= 7x+ $\frac{50}{100}$× 7x

= 7x+3.5x

= 10.5x

Science seats are increased by 70%

= 8x+$\frac{70}{100}$×8x

= 8x+5.6x

= 13.6x

The ratio of increase in seats = 7x:10.5x:13.6x

= 70:105:136

Therefore, The ratio after increased seats for arts, commerce, and science is 70:105:136.

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