Question 14 Marks

Examine the following case study carefully and answer the questions that follow.
ABC Constructions is a private building company which builds and sells flats. They undertake a Project X wherein they are building 90 flats each costing ₹ 6,00,000. At the planning stage a preliminary analysis of the price breakup was carried out and a pie chart as shown below was drawn to depict the same.

1. The amount spent on timber for each flat is
(a) ₹ 30,000 $\quad$ (b) ₹ 36,000 $\quad$ (c) ₹ 60,000 $\quad$ (d) ₹ 90,000 $\quad$
2. The amount spent on labour exceeds the amount spent on supervision by
(a) ₹ 60,000 $\quad$ (b) ₹ 36,000 $\quad$ (c) ₹ 90,000 $\quad$ (d) ₹ 1,00,000 $\quad$
3. The percentage of the total amount spent on cement, steel and supervision to the total cost of construction is
(a) 50% $\quad$ (b) 55% $\quad$ (c) 60% $\quad$ (d) 65% $\quad$
4. What fraction of the total cost of construction was spent on cement and steel together?
(a) $\frac{1}{4}$$\quad$ (b) $\frac{3}{10}$$\quad$ (c) $\frac{7}{20}$$\quad$ (d) $\frac{8}{15}$$\quad$

Answer

1. (c): Amount spent on timber = ₹ $\left(\frac{36}{360} \times 600000\right)$ = ₹ 60000.
2. (a): Amount spent on labour = ₹$\left(\frac{90}{360} \times 600000\right)$ = ₹ 150000.
Amount spent on supervision = ₹ $\left(\frac{54}{360} \times 600000\right)$ = ₹ 90000.
$\therefore \quad$ required difference = ₹$(150000-90000)$ = ₹ 60000.
3. (a): Required percentage = $=\left(\frac{72+54+54}{360} \times 100\right) \%=\left(\frac{180}{360} \times 100\right) \%=50 \%$.
4. (c): Required fraction = $\frac{72+54}{360}=\frac{126}{360}=\frac{7}{20}$.

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