Question

A group housing society constructed 350 flats. If the cost of construction for each flat is 993570, what is the total cost of construction of all the flats?

Answer 1

Hint: Now we are given that the group housing society has constructed 350 flats. We are also given the cost of 1 flat. Now know that the cost of 350 such flats will be 350 × cost of 1 flat.
Hence we can find the cost of 350 flats.

Complete step by step answer:
Now the group housing society has constructed 350 flats.
We know that the cost of construction of one flat is 993570.
Now the cost of construction of 350 flats = 350 × cost of construction of one flats.
Hence the cost of construction 350 flats = $350\times 993570$
Now let us solve this multiplication in a simplified manner by using the distributive property.
We know that $350=300+50$ .
Hence we have,
$\Rightarrow 350\times 993570=\left( 300+50 \right)\times 993570$
Now we know that according to distributive property we have (a + b) × c = a × c + b × c.
Hence we get,
$\begin{align}
  & \Rightarrow 350\times 993570=300\times 993570+50\times 993570 \\
 & \Rightarrow 350\times 993570=298071000+49678500 \\
 & \Rightarrow 350\times 993570=347749500 \\
\end{align}$
Hence the price of 350 flats will be $347749500$ .

Note: Now note that since we have the price of 1 flat the calculation was easy. If suppose we have given the price of n flats then we first divide the number by n so that we get the price of flat and then proceed with the calculation in the same manner as mentioned above. Also note that we can also directly multiply the numbers without using the distributive property. Also note that we can also write the number 993570 as $1000000-6430$ and then perform distributive property for more easy calculation.