a family of 12 members buy 30 kg of sugar which last for 20 days if they buy 40 kg and it last for only eight days find the increase in the numb
er of a family members
Answers
Answer:
Solution :
In First Case:
A family of 12 Menbers buys 30 kg of sugar which lasts for 20 days. (given)
ATQ: Men : 12
Time : 20days
Work done according to question : 30
In Second Case:
A family of ? members buys 40 kg of sugar which lasts for 8 days
ATQ: Men : x
Time : 8 days
Work done according to question : 40
According to Maths Formula
\begin{gathered}= \frac{men \times time}{work \: done} \\ \frac{12 \times 20}{30} = \frac{x \times 8}{40} \\ \frac{12 \times 20 \times 40}{30 \times 8} = x \\ 40 = x \\ x = 40 \\\end{gathered}
=
workdone
men×time
30
12×20=
40
x×8
30×8
12×20×40
=x
40=x
x=40
In First Case, family members = 12
Second Case, family members = 40
Therefore, Increase in the number of family members in Second Case is 28(40-12)
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