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MAT Exam 2024 Paper

Question : 85 of 150

Marks: +1, -0

5 \%

2.5 \%

Solution:

Concept:

Compare old and new earning expressions and solve for sales.

Explanation:

Let total sales be

x

rupees.

Under the first scheme, commission is:

5\%

x = \frac{5x}{100}

Under the new scheme, earnings are:

1000 + 2.5\%

(x - 4000) = 1000 + \frac{2.5}{100}(x - 4000)

The new earnings are ₹600 more than the old earnings, so:

\left[1000 + \frac{2.5}{100}(x - 4000)\right] - \frac{5x}{100} = 600

Simplify:

1000 + \frac{2.5x}{100} - 100 - \frac{5x}{100} = 600

900 - \frac{2.5x}{100} = 600

\frac{2.5x}{100} = 300

x = \frac{300 \times 100}{2.5} = 12000

Thus, the sales were worth ₹12,000.

Answer:

₹12,000, i.e. option D.

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