Data Interpretation MCQ Questions and Answers - Pie Chart

Percent of Dell Laptops sold by store Q = 25%
Total number of Dell Laptops bold by store Q
$$\eqalign{ & = 2400\times\frac{25}{100} \cr & = 600 \cr} $$
Percent of Laptops Dell and Lenovo sold by store R = 35%
Number of Laptops Dell and Lenovo sold by store R
$$\eqalign{ & = 4500\times\frac{35}{100} \cr & = 1575 \cr & \therefore \text{Required Percentage} \cr & = \frac{600}{1575}\times100 \cr & = 38.095 \cr & \approx 38\% \cr} $$

Number of Dell laptops sold by store T
$$\eqalign{ & = 2400\times\frac{21}{100} \cr & = 504 \cr} $$
Number of Laptops sold by store P
$$\eqalign{ & = 2400\times \frac{15}{100} \cr & = 360 \cr} $$
Required Percentage
$$\eqalign{ & = \frac{504-360}{360}\times100 \cr & = 40\% \cr} $$

Percent of Dell Laptops sold by P, R and S together
= 15% + 30% + 9%
= 54%
Total Dell Laptops sold by P, R and S together
$$\eqalign{ & = 2400\times\frac{54}{100} \cr & = 1296 \cr & \therefore \text{ Average} \cr & = \frac{1296}{3} \cr & = 432 \cr} $$

Percent of Laptops Dell and Lenovo sold by store Q = 23%
Number of Laptops Dell and Lenovo sold by store Q
$$\eqalign{ & = 4500\times\frac{23}{100} \cr & = 45\times23 \cr & = 1035 \cr} $$
Percent of Laptops Dell and Lenovo sold by R and S together
  = 35% + 11%
  = 46%
Now, total number of Laptops Lenovo and Dell sold by R and S together
$$\eqalign{ & = 4500\times\frac{46}{100} \cr & = 2070 \cr} $$
Percent of Dell Laptops sold by R and S together
  = 30% + 9%
  = 39%
Number of Dell Laptops sold by R and S together
$$\eqalign{ & = 2400\times\frac{39}{100} \cr & = 936 \cr} $$
Number of Lenovo Laptops = 2070 - 936 = 1134
Required difference
  = 1134 - 1035
  = 99

Dell laptops sold by store S = 9%
Central angle corresponding to number of Dell Laptops sold by store S
$$\eqalign{ & = \frac{9}{100}\times360 \cr & = 32.4° \cr} $$