Rupa works twice as efficiently as Sanjay. To finish a contract, Rupa works for 5 days and Sanjay for 8 days. The ₹5,400 payment is shared by the work each did. What is Rupa's share?

₹1,800Correct answerYour answer₹2,400Correct answerYour answer₹2,700Correct answerYour answer₹3,000Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Let Sanjay do 1 unit per day; Rupa does 2 units.
Rupa's work = $2 \times 5 = 10$ units; Sanjay' $s = 1 \times 8 = 8$ units.
Rupa's share = $\frac{10}{18} \times 5400 = ₹3{,}000$ .

Worth noting

Pay follows work = efficiency × days. Using only the efficiency ratio $2 : 1$ gives ₹3,600; using only the days $5 : 8$ ignores that Rupa is faster. ₹2,400 is Sanjay's share.

Concept: Wages when both efficiency and days differ
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsEfficiency and wages

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Ten questions from Time & Work, at your own pace.

Rupa works twice as efficiently as Sanjay. To finish a contract, Rupa works for 5 days and Sanjay for 8 days. The ₹5,400 payment is shared by the work each did. What is Rupa's share?

Explanation