(a) An investor invested 20 cr in a company for the development of a mobile ap

Question

(a) An investor invested 20 cr in a company for the development of a mobile application. The company distributed this money among various departments to cover up the needs. One-fourth of invested money is allocated to advertisement team. Two third of the remaining money was given to development team. In development team, there are two sub-teams namely Graphics and content team. Among them, it is distributed in such a way that content team will get $\frac{3}{2}$ times more money than that of graphics team. Find the money allocated to each team separately.
(b) Sean is helping his dad build a tiled walkway in their backyard. The walkway will be 60 feet long and 2 feet wide. The local hardware store sells tiles which are 2 by 2 feet and come in boxes of 6.
How many boxes of tiles do they need?
[4 MARKS]

Options:

Answer: Option A
:

Each part: 2 Marks
(a) Total money invested = 20 cr

Amount allocated to advertisement team = $20 \times \frac{1}{4}$ = 5 cr.

Remaining amount: 20 - 5 = 15cr; Two third of 15 cr is allocated for development team $= 15 \times \frac{2}{3} = 10 c r$

Let graphics team got $x$ ,then content team got $\frac{3}{2}$ $x$ .

By solving, $x$ + $\frac{3}{2}$ $x$ =10; $x$ =4

Hence, amount allocated for graphics and content team were 4cr and 6cr respectively.
(b) Area of the walkway = (60 $\times$ 2)feet $^{2}$ =120feet $^{2}$
Area of 1 tile = (2 $\times$ 2)feet $^{2}$ = 4feet $^{2}$
Total tiles required = $\frac{120}{4} = 30$
1 box contains 6 tiles.
$∴$ No. of boxes for 30 tiles
$= \frac{30}{6} = 5$