Two junior analysts in a consulting firm receive the same total monthly compensation:
Amit gets bonuses worth 60% of his basic salary.
Bhavna gets bonuses worth 80% of her basic salary.

Consider the following statements:
Statement I: The ratio of Amit's basic salary to Bhavna's basic salary is 8:9.
Statement II: Bhavana’s basic salary is higher than Amit’s.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Two junior analysts in a consulting firm receive the same total monthly compensation:
Amit gets bonuses worth 60% of his basic salary.
Bhavna gets bonuses worth 80% of her basic salary.

Consider the following statements:
Statement I: The ratio of Amit's basic salary to Bhavna's basic salary is 8:9.
Statement II: Bhavana&rsquo;s basic salary is higher than Amit&rsquo;s.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let Amit&rsquo;s basic salary = A, so total compensation = A + 0.60A = 1.60A
Let Bhavna&rsquo;s basic salary = B, so total compensation = B + 0.80B = 1.80B
Given that both total compensations are equal:
1.60A = 1.80B
A/B = 1.80/1.60 = 18/16 = 9/8​
So, the ratio of Amit's basic salary to Bhavna's basic salary is 9:8 and Amit's basic salary is higher.
Statement I: Incorrect.
Statement II: Incorrect.
Hence, option d is correct.

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M Question 1	⏱ 0
Two junior analysts in a consulting firm receive the same total monthly compensation: Amit gets bonuses worth 60% of his basic salary. Bhavna gets bonuses worth 80% of her basic salary. Consider the following statements: Statement I: The ratio of Amit's basic salary to Bhavna's basic salary is 8:9. Statement II: Bhavana’s basic salary is higher than Amit’s. Select the correct answer from the options below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.