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SSC MTS 2022 PYQ — Question 74

SSC MTS - 26 July 2022 - Shift 2 • Quantitative Aptitude • Q74

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G1 can do a piece of work alone in 20 days, G2 can do the same piece of work alone in 40 days, while G3 can do it alone in 60 days. They worked together and completed the work. If the combined share received by G1 and G2 is ₹2,700, then what is the total amount received by all the 3 workers taken together?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. ₹3,000

G1's 1 day capacity = 120\frac{1}{20}

G2's 1 day capacity = 140\frac{1}{40}

G3's 1 day capacity = 160\frac{1}{60}

Ratio of their capacities = 120:140:160\frac{1}{20}:\frac{1}{40}:\frac{1}{60} = 6 : 3 : 2

So, 

The money shared will be in the ratio = 6 : 3 : 2

Now,

6x + 3x = 2700

9x = 2700

x = 2700 ÷ 9 = 300

So,

G1's share = 6 × 300 = ₹1,800

G2's share = 3 × 300 = ₹900

G3's share = 2 × 300 = ₹600

So,

Total money received by them = ₹1,800 + ₹900 + ₹600 = ₹3,300