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Arrange the following cases in ascending order in terms of number of days to complete the same work.

(A) P can do (1/3)rd of the work in 5 days.

(B) Q can do (1/6)th of the work in 4 days.

(C) R can do 25% of the work in 4 days.

(D) S can do 35% of the work in 7 days.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 1

To find how many days each person takes to complete the full work, then arrange from smallest to largest.


Case (A): P completes 13\frac{1}{3} of work in 5 days.

If 13\frac{1}{3} work takes 5 days, then full work takes:

Days for full work =5×3= 5 \times 3

=15= 15 days


Case (B): Q completes 16\frac{1}{6} of work in 4 days.

Days for full work =4×6= 4 \times 6

=24= 24 days


Case (C): R completes 25% of work in 4 days.

Converting: 25% =25100=14= \frac{25}{100} = \frac{1}{4}

Days for full work =4×4= 4 \times 4

=16= 16 days


Case (D): S completes 35% of work in 7 days.

Converting: 35% =35100=720= \frac{35}{100} = \frac{7}{20}

If 720\frac{7}{20} of work takes 7 days, then full work takes:

Days for full work =7×207= 7 \times \frac{20}{7}

=20= 20 days


Summary:

P (A): 15 days

Q (B): 24 days

R (C): 16 days

S (D): 20 days

Arranging in ascending order: 15 < 16 < 20 < 24

Therefore: (A), (C), (D), (B)

The correct answer is Option 1.

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