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Que: The number of cars this year decreased by 10% compared to last year. The number of mobiles this year ....

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by Max@Math Revolution » Wed Mar 10, 2021 9:03 pm

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Que: The number of cars this year decreased by 10% compared to last year. The number of mobiles this year has increased by 12% compared to last year. If the total number of cars and mobiles this year increased by 5% compared to last year, what was the ratio of the number of cars to the number of mobiles last year?

A. 1:2
B. 15:7
C. 9:11
D. 11:9
E. 7:15
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Re: Que: The number of cars this year decreased by 10% compared to last year. The number of mobiles this year ....

by Max@Math Revolution » Sat Mar 13, 2021 9:24 pm
Solution: Now let's solve this PS question using IVY Approach.

IVY Approach -> IVY Approach 3-2: 100c = Cars ; 100m= Mobiles

=> Percentage question ->100 -> c = cars ; m = mobiles

=> This year cars = 90% of 100c = 90c \(\left(10\%\ decrease\right)\)

=> This year mobiles = 112% of 100m = 112m \(\left(12\%\ increase\right)\)

=> Total Vehicles this year: 105% of(100c + 100m) = 105c + 105m \(\left(2\%\ increase\right)\)

=> 90c + 112m = 105c + 105m

=> 112m – 105m = 105c – 90c

=>7m = 15c

=> c = \(\frac{7}{15}\)m

=> ∴ 100c : 100m =c :m=\(\frac{7}{15}\) m: m = 7 :15

Therefore, E is the correct answer.

Answer E
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