SSC CGL 2019 PYQ — Question 21

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q21

A, B & C started a business with their capitals in the ratio 2 : 3 : 5. A increased his capital by 50% after 4 months, B increased his capital by 33.33 % after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of the year was 86800, then the difference  between the shares of A & C in the profit was?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 12600

Investment ratio = 2 : 3 : 5 

⇒16 : 21 : 25

⇒16x + 21x + 25x = 86800

⇒ 62x = 86800

⇒ x = 1400

⇒ Difference = 25x - 16x

⇒ Difference = x(25 - 16)

⇒ Difference = 1400 × 9 = 12600