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In a college, seats of computers, electronics and mathematics are in ratio 1 ∶ 2 ∶ 3. There is an order to increase the seats. If seats of computers, electronics and mathematics are increased by 20%, 10% and 5%, what is the ratio of seats after increment? 

In a college, seats of computers, electronics and mathematics are in ratio 1 ∶ 2 ∶ 3. There is an order to increase the seats. If seats of computers, electronics and mathematics are increased by 20%, 10% and 5%, what is the ratio of seats after increment?  Correct Answer 24 ∶ 44 ∶ 63

Given,

Ratios of Seats of computer, electronics and mathematics in a college = 1 ∶ 2 ∶ 3

Increment in the seats of computer = 20%

Increment in the seats of electronics = 10%

Increment in the seats of mathematics = 5%

Concept used,

If 'a' seats are increased by b%, then total seats = a + {(a × b)/100}

Calculation

Let seats of computer, electronics and mathematics are X, 2X and 3X.

Seats of Computer after increment = X + 20% of X

⇒ X + {(20 × X)/100}

⇒ 120X/100

Seats of Electronics after increment = 2X + 10% of 2X

⇒ 2X + {(10 × 2X)/100}

⇒ 220X/100

Seats of Mathematics after increment = 3X + 5% of X

⇒ 3X + {(5 × 3X)/100}

⇒ 315X/100

Ratio after increment = (120X/100) ∶ (220X/100) ∶ (315X/100)

⇒ 24 ∶ 44 ∶ 63

∴ Required ratio is 24 ∶ 44 ∶ 63

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