SSC GD 2025 PYQ — Question 47

SSC GD Const 2025 (English) - 13 Feb 2025 - Shift 2 • Quantitative Aptitude • Q47

A, B and C working separately can do a piece of work in 5, 8 and 6 days, respectively. If they all work together and earn ₹22,774 for the whole work, then find the difference between the shares of B and C.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. ₹1,930.

Let the total work = LCM of 5, 8 and 6 = 120 unit

Efficiency: A = 120/5 = 24 unit/day

B = 120/8 = 15 unit/day

C = 120/6 = 20 unit/day

Difference between the shares of B and C = 2277424+15+20×(20−15)\frac{22774}{24+15+20}\times(20-15)

= 2277459×(5)\frac{22774}{59}\times(5)

= 1,930