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shrey and Shreya undertook a work for RS 12000. Shrey got RS 2200 more than that earned by Shreya when they worked together. Shreya takes 8 days more than Shrey when they work individually. In how many days Shreya will complete the work?

shrey and Shreya undertook a work for RS 12000. Shrey got RS 2200 more than that earned by Shreya when they worked together. Shreya takes 8 days more than Shrey when they work individually. In how many days Shreya will complete the work? Correct Answer 284/11

GIVEN:
Total payment = RS 12000

Shrey's payment = 2200 + Shreya's payment 

Shreya's time = 8 + Shrey's time

CONCEPT:

Payment is distributed in the ratio of efficiencies.

For same work ratio of time is the inverse of the ratio of efficiency

FORMULA USED:

Work = Time × Efficiency

CALCULATION:

Let shrey got RS A and Shreya got RS B

B + B + 2200 = RS12000 

2 B = RS 9800

B = RS 4900

A = RS 7100

Shrey's efficiency : Shreya's efficiency = 71 : 49

Shrey's time : Shreya's time = 49 : 71

Let the time taken by Shrey be t days

Shreya' time = 71t/49

A.T.Q

71t/49 - t = 8

t = 196/11 days

Shreya's time = 284/11 days

∴ Shreya will take 284/11 days

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