Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: M can finish a work in 12 days and N can do same work in 15 days. M and N worked for 5 days then M left the job. What fraction of work remains after M left the job? Quantity B: A is 25% more efficient than B. If A can complete the work in 16 days and B work alone for first three days then what fraction of work remains?

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: M can finish a work in 12 days and N can do same work in 15 days. M and N worked for 5 days then M left the job. What fraction of work remains after M left the job? Quantity B: A is 25% more efficient than B. If A can complete the work in 16 days and B work alone for first three days then what fraction of work remains? Correct Answer Quantity A < Quantity B

Quantity A:

Given,

M’s 1 day’s Work = 1/12

N's 1 day’s work = 1/15

Then,

(M + N)’s 1 day’s work = (1/12) + (1/15)

= 27/(15 × 12)

= 3/20

(M + N)’s 5 days work = 5 × (3/20) = ¾

Remaining fraction of work after 5 days =

= 1 – (3/4)

= ¼

When M left the job, 1/4^th of work is still incomplete.

Quantity B:

Given,

A’s 1 day’s work = 1/16 = 6.25 %

A is 25% more efficient than B.

(A’s 1 day’s work)/(B’s 1 day’s work) = 125/100

6.25 %/B’s 1 days work = 125/100

B’s 1 day’s work = 6.25 × 100/125

B’s 1 day’s work = 5 %

B’s 1 days work = 1/20

Work done by B in 3 days =

= 3 × (1/20)

= 3/20

Fraction of work remains after 3 days =

= 1 – (3/20)

= 17/20

From above solution,