Answer
Verified
394.8k+ views
Hint:In this question, we have to find out the wages of C. First, we need to calculate the one day’s work of A and B which can be calculated by simply adding the fractions part of A’s one day work and B’s one day work. Subtract one day’s work of (A+B) from one day’s work of (A+B+C). Convert one day’s work of A, B, and C in the ratio and distribute the said amount to get the share of C.
Complete step-by-step answer:
Given: A can do a piece of work in \[8\] days and B alone can do the same work in \[10\] days.
Therefore, the above expression can be written as
One day work of A is \[\dfrac{1}{8}\] and One day work of B is \[\dfrac{1}{{10}}\].
To find C’s one day work, we will find the one-day work for A and B
Therefore, the expression can be written as
\[\]
Therefore, one day work of C can be written as
${
\dfrac{1}{4} - (\dfrac{1}{8} + \dfrac{1}{{10}}) \\
= \dfrac{1}{4} - \dfrac{9}{{40}} \\
= \dfrac{1}{{40}} \\
} $
Take the ratios of the wages of A, B, and C which can be written as
$\dfrac{1}{8}:\dfrac{1}{{10}}:\dfrac{1}{{40}} = 5:4:1$
Therefore, the ratio is \[5:4:1\]
Now, C’s share can be calculated as
${
\dfrac{1}{{5 + 4 + 1}} \times 720 \\
= \dfrac{1}{{10}} \times 720 \\
= 72 \\
} $
Therefore, C’s share is Rs.\[\]
Hence, answer is Rs. \[72\],
So, the correct answer is “Option A”.
Note:To find the individual share when the ratios are given, we must be careful while distributing the amount. Any other method applied to find the individual share will make it more complicated.
Complete step-by-step answer:
Given: A can do a piece of work in \[8\] days and B alone can do the same work in \[10\] days.
Therefore, the above expression can be written as
One day work of A is \[\dfrac{1}{8}\] and One day work of B is \[\dfrac{1}{{10}}\].
To find C’s one day work, we will find the one-day work for A and B
Therefore, the expression can be written as
\[\]
Therefore, one day work of C can be written as
${
\dfrac{1}{4} - (\dfrac{1}{8} + \dfrac{1}{{10}}) \\
= \dfrac{1}{4} - \dfrac{9}{{40}} \\
= \dfrac{1}{{40}} \\
} $
Take the ratios of the wages of A, B, and C which can be written as
$\dfrac{1}{8}:\dfrac{1}{{10}}:\dfrac{1}{{40}} = 5:4:1$
Therefore, the ratio is \[5:4:1\]
Now, C’s share can be calculated as
${
\dfrac{1}{{5 + 4 + 1}} \times 720 \\
= \dfrac{1}{{10}} \times 720 \\
= 72 \\
} $
Therefore, C’s share is Rs.\[\]
Hence, answer is Rs. \[72\],
So, the correct answer is “Option A”.
Note:To find the individual share when the ratios are given, we must be careful while distributing the amount. Any other method applied to find the individual share will make it more complicated.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Select the word that is correctly spelled a Twelveth class 10 english CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE