SSC CHSL 2019 PYQ — Question 64

SSC CHSL - 8th July 2019 - Shift 1 • Quantitative Aptitude • Q64

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for Rs. 35000. The share of A (in Rs.) in the contracted money will be:

Show answer & explanation

Correct answer: A

Explanation

 The correct answer is option 1 i.e. 14000.

Given:

Time taken by A = 15 days

Time taken by B = 10 days

Earning of A and B = Rs. 35000

Concept Used:

Total Work = Efficiency × Time

Earnings are distributed in the ratio of respective efficiencies.

Explanation:

Let the total work be LCM of (15,10) be 30 units.

Efficiency of A = 30/15 = 2 units/day

Efficiency of B = 30/10 = 3 units/day

Share of A = Earnings of A and BEfficiency of A+Efficiency of B×Efficiency of A{{Earnings\ of\ A\ and\ B} \over {Efficiency\ of\ A + Efficiency\ of\ B}} \times {Efficiency\ of\ A}

⇒ 350002+3×2{{35000} \over {2 + 3}} \times {2} = Rs. 14,000