Question

780 is paid for a task which A can do in 6 days , B can do in 8 days , and C can do in 4 days . If all work together how much money should each receive

Answer 1

Answer:

A - ₹240

B - ₹180

C - ₹360

Step-by-step explanation:

Hi, I hope it will be helpful

Step-by-step explanation:

A's 1 day's work = 1/6

B's 1 day's work = 1/8

C's 1 day's work = 1/4

therefore

Ratio of shares of A, B and C

= Ratio of their 1 day's work

= 1/6 : 1/8 : 1/4 ( take L.C.M of denominator, it is 24 and multiply each term of ratio)

= 1/6*24 : 1/8*24 : 1/4*24

= 4 : 3 : 6

Therefore,

Sum of their ratios = 4+3+6 = 13

Therefore,

A's share = ₹(780*4/13)

= ₹240

B's share = ₹(780*3/13)

=₹180

C's share =₹(780*6/13)

=₹360

Each received money-

A - ₹240

B - ₹180

C - ₹360

Answer 2

Question :-

780 is paid for a task which A can do in 6 days , B can do in 8 days , and C can do in 4 days . If all work together how much money should each receive ?

_______________________________

Given :-

• A's 1 day's work = 1/6
• B's 1 day's work = 1/8
• C's 1 day's work = 1/4

_______________________________

To find :-

• how much money should each receive

_________________________________

let :-

• ratio of shares is a,b and c
• ratio = 1/6,1/8,1/4

__________________________________

Solution :-

⅙:⅛:¼ it's denominator is multiple of per of ratio

$\rm :\longmapsto \frac{1}{6} \times \cancel24 \ratio \frac{1}{8} \times \cancel24 \ratio \frac{1}{4} \times \cancel 24$

$\rm :\longmapsto\:4 \ratio3 \ratio6$

so therefore the sum of the ratios are 4 + 3 + 6 = 13

$\rm :\longmapsto\:a \: share = (780 \times \frac{4}{13}) \\ \\ \rm :\longmapsto\:\sf\bold{\red{ = 240\: }}$

$\rm :\longmapsto\:b \: share \: = (780 \times \frac{3}{13}) \\ \\ \rm :\longmapsto\: \sf\bold{\red{ = 180}}$

$\rm :\longmapsto\:c \: share \: = (780 \times \frac{6}{13}) \\ \\ \rm :\longmapsto\:\sf\bold{\red{ = 360}}$

so therefore each money received :-

• A's = 240
• b's = 180
• C's = 360

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