SSC Selection Post 2022 PYQ — Question 61

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 2 • Quantitative Aptitude • Q61

₹5,580 is divided among P, Q, and R, is the ratio of 7 : 11 : 13 respectively. What is the difference (in ₹) between one-third of the largest share and two-fifths of the smallest?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 276.

⇒ 7x + 11x + 13x = 5580

⇒ 31x = 5580

⇒ x = 180

Largest share = 13x = 13 × 180 = 2340

Smallest share = 7x = 1260

Difference = 13×2340−25×1260{1\over3}\times2340-{2\over5}\times1260 = 780 - 504 = 276