Question

If 15 men can pack 540 parcels per day, how many men are needed to pack 396 parcels per day?​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Men required to pack 396 parcels is 11

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

15 men can pack = 540 parcels

To find :

Men required to pack 396 parcels

Solution :

$\textbf{Method I }$

By Proportion -

Consider the men required to pack 396 parcels as x

540 : 15 : : 396 : x

Mean Terms = 15 and 396

Extreme Terms = 540 and x

$\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}$

$\sf{\implies} \: 15 \times 396 = 540 \times x$

$\sf{\implies} \: 5940 = 540x$

$\sf{\implies} \: x = \dfrac{5940}{540}$

$\sf{\implies} \: x = 11$

$\therefore$ The Men required to pack 396 parcels is 11.

$\rule{300}{1.5}$

$\textbf{Method II}$

By Unitary Method -

Divide 540 by 15 to get the parcels packed by each person.

$\sf{\implies} \: 540 \div 15$

$\sf{\implies} \: 36$

$\rule{300}{1.5}$

Divide 396 by 36 to get the men required to pack 396 parcels

$\sf{\implies} \: 396 \div 36$

$\sf{\implies} \: 11$

$\therefore$ The Men required to pack 396 parcels is 11

Answer 2

540 parcel is being packed by 15 men.

1 parcel in 15/540 men.

Now, 396 parcels is being packed by 15/540 into 396 men

= 11 men .