Suresh's salary, which is greater than ₹ 10000 is 75 \% of Sandra's salary. Dutt's salary is 80\% of Suresh's salary. A. Sandra's salary. B. Dutt's salary.

Correct Answer is : if Quantity A is greater than Quantity B

if Quantities A and B are equal

Correct Answer is : if Quantity A is greater than Quantity B

Test Index

MAT Exam 2021 Paper

Question Numbers: 128-130

DIRECTIONS (Qs. 128-130) : In each of these questions two quantities

A

and

B

are given. Compare the two quantities and mark answer as

(a) if Quantity A is greater than Quantity B

(b) if Quantity B is greater than Quantity A

(d) if comparison cannot be made

Question : 128 of 200

Marks: +1, -0

₹ 10000

75 \%

B. Dutt's salary.

Solution:

Concept:

Compare Sandra's and Dutt's salaries by expressing both in terms of Suresh's salary.

Explanation:

Let Suresh's salary be

₹S

, where

S > ₹10000

Given, Suresh's salary is

75\%

of Sandra's salary.

So,

S = \frac{75}{100} \times \text{Sandra's salary}

Therefore, Sandra's salary

= S \times \frac{100}{75} = \frac{4S}{3}

Dutt's salary is

80\%

of Suresh's salary.

So, Dutt's salary

= \frac{80}{100} \times S = \frac{4S}{5}

Now compare: Sandra's salary is

\frac{4S}{3}

and Dutt's salary is

\frac{4S}{5}

Since

\frac{4}{3} > \frac{4}{5}

for any positive

S

, Sandra's salary is always greater than Dutt's salary.

Answer:

Quantity A is greater than Quantity B.

Option (a).

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