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MAT Exam 2022 Paper

Question Numbers: 141-145

DIRECTIONS (Qs. 141-145): The line graphs given below shows the sale of three brands of soft drinks (bottles in millions) in the period 1998-2003. Refer to the graphs to answer the question that belows.

Question : 143 of 200

Marks: +1, -0

In the year 2004, the ratio of the sale of the three drinks happens to be same as that in 1998. What should be the approximate total sale of drinks of the three brands in the year 2004, if the sale of Litchi increased by 10% over the previous year?

15 million
8 million
10 million
5 million

Validate

Solution:

Concept:

The sales ratio stays the same, so a single scaled value of Litchi fixes all the brand sales.

Explanation:

From the graph, the sale ratio in 1998 is:

Peach : Lemon : Litchi

= 2.1 : 1.5 : 1.0

Total ratio units

= 2.1 + 1.5 + 1.0 = 4.6

The sale of Litchi in 2003 was

3

million.

In 2004, Litchi increased by

10\%

So, Litchi sale in 2004

= 3 \times \frac{110}{100} = 3.3

million.

Since the 2004 ratio is the same as 1998, the common multiplier is

\frac{3.3}{1.0} = 3.3

Therefore, total sale in 2004

= 4.6 \times 3.3 = 15.18

million.

Approximate total sale is

15

million.

Answer:

A. 15 million

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