SSC MTS 2022 PYQ — Question 65

SSC MTS - 25 July 2022 - Shift 2 • Quantitative Aptitude • Q65

Radha can complete a piece of work in 3 days, while Raji can complete the same work in 2 days. Both of them complete this work by working together and get ₹150 as the total payment for the work done. What is the share of Radha out of the above payment?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. ₹60

LCM of 3 and 2 is 6 which can be assumed as the total work

Radha can complete a piece of work in 3 days.

Efficiency of Radha = 6/3 = 2 units/day

While Raji can complete the same work in 2 days.

Efficiency of Raji = 6/2 = 3 units/day

Both of them complete this work by working together and get 150 as the total payment for the work done.

As we know that the payment will be distributed among them as per their efficiencies.

So share of Radha out of the above payment = 150 × (2/2 + 3)

= 150 × 2/5

= 150 × 0.4

= 60