Question Details

Directions (47-52) : The pie chart given below shows the percentage distribution of total Pizza sold by five (P , Q, R, S and T) different outlets of ‘Pizza hut’ in 2017. Study the pie chart given below and answer the following questions.

Note: I- Total Pizza sold by these five outlets in 2018 is 40% more than total Pizza sold by these five outlets in 2017.
II -Percentage distribution of total Pizza sold by these five outlets in 2018 is same as that of in 2017.

Total Pizza sold by S and T together in 2018 are what percent (Approx.) more or less than total Pizza sold by Q and R together in 2017?

Options

A

41%

B

45%

C

46%

D

43%

E

48%

Show Answer

Correct Answer :

Option E

48%

Solution :

The correct option is 48%.

From the given pie chart, the percentage distribution of total pizzas sold by the five outlets (P, Q, R, S, and T) in 2017 is as follows:
• Outlet P = 30%
• Outlet Q = 10%
• Outlet R = 24%
• Outlet S = 16%
• Outlet T = 20%

Step 1: Define total sales for 2017 and 2018
Let the total number of pizzas sold by all five outlets together in 2017 be X.

According to Note I, the total number of pizzas sold in 2018 is 40% more than that in 2017.
Total pizzas sold in 2018 = X + 0.40X = 1.4X.

Step 2: Calculate total pizzas sold by Q and R together in 2017
Percentage share of Q and R in 2017 = 10% + 24% = 34%.

Total pizzas sold by Q and R together in 2017 = 0.34 × X = 0.34X.

Step 3: Calculate total pizzas sold by S and T together in 2018
According to Note II, the percentage distribution of total pizzas sold in 2018 is the same as in 2017.
Percentage share of S and T = 16% + 20% = 36%.

Total pizzas sold by S and T together in 2018 = 0.36 × 1.4X = 0.504X.

Step 4: Find the required percentage increase
Difference in sales = 0.504X - 0.34X = 0.164X.

Required percentage = 0.164X0.34X × 100

= 16.40.34 = 164034 ≈ 48.235%

Rounding to the nearest whole percentage, the value is approximately 48%.

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