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UPSC CDS 2 2019 Math Paper

Question Numbers: 3-6

Direction: Read the following information and answer the four items that follow:

Let the distribution of the number of scooters of companies X and Y sold by 5 showrooms (A, B, C, D and E) in a certain year be denoted S1 and the distribution of the number of scooters of only company X sold by the five showrooms in the same year be denoted by S2.

Showroom	A	B	C	D	E	Total number of scooters sold
S1 (in%)	19	21	15	33	12	6400
S2 (in%)	24	18	20	30	8	3000

Question : 3 of 100

Marks: +1, -0

The number of scooters of company Y sold by showroom E is what percent of the number of scooters of both companies sold by showroom C?

Validate

Solution:

Concept:

Find the number of company Y scooters sold at showroom E, then express it as a percentage of total scooters sold at showroom C.

Explanation:

Total scooters sold by showroom E =

12\%

of 6400 = 768.

Company X scooters at E =

8\%

of 3000 = 240.

So, company Y scooters at E =

768 - 240 = 528

Total scooters sold by showroom C =

15\%

of 6400 = 960.

Required percentage =

\dfrac{528}{960} \times 100 = 55\%

Answer:

55% (Option C).

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