Study the following information carefully and answer the given questions.

The following pie chart shows the expenditure of 6 different friends in a certain month.

1) If the percentage of expenditure of person P and person Q is 60 % and 55 % respectively out of the total income of those persons, then find the difference between the total income of person P to that of person Q?

A.Rs. 20000

B.Rs. 16000

C.Rs. 24000

D.Rs. 22000

E.None of these

2) Total expenditure of person R is approximately what percentage of total income of person U, if the percentage of total expenditure of person U is 40 % out of the total income of U?

A.65 %

B.54 %

C.73 %

D.82 %

E.95 %

3) Find the difference between the average number of total expenditure of person P and Q together to that of the average number of total expenditure of person S and U together?

A.Rs. 20000

B.Rs. 18000

C.Rs. 14000

D.Rs. 16000

E.None of these

4) Find the central angle corresponding to the expenditure of person U?

A.54.2°

B.39.6°

C.45.4°

D.62.8°

E.None of these

5) If the income of person S and T is Rs. 40000 and Rs. 45000 respectively, then find the total savings of person S and T together?

A.Rs. 27000

B.Rs. 29000

C.Rs. 32000

D.Rs. 25000

E.None of these

Answers :

1) Answer: A

The total income of person P

= > 200000 * (18 / 100) * (100 / 60)

= > Rs. 60000

The total income of person Q

= > 200000 * (22 / 100) * (100 / 55)

= > Rs. 80000

Required difference = 80000 – 60000 = Rs. 20000

2) Answer: C

Total expenditure of person R

= > 200000 * (20 / 100) = Rs. 40000

Total income of person U

= > 200000 * (11 / 100) * (100 / 40) = Rs. 55000

Required % = (40000 / 55000) * 100 = 72.72 % = 73 %

3) Answer: D

The average number of total expenditure of person P and Q together

= > [200000 * (18 / 100) + 200000 * (22 / 100)] / 2

= > [36000 + 44000] / 2 = Rs. 40000

The average number of total expenditure of person S and U together

= > [200000 * (13 / 100) + 200000 * (11 / 100)] / 2

= > [26000 + 22000] / 2 = Rs. 24000

Required difference = 40000 – 24000 = Rs. 16000

4) Answer: B

The central angle corresponding to the expenditure of person U

= > (11 / 100) * 360 = 39.6^°

5) Answer: A

The total savings of person S and T together

= > [40000 - 200000 * (13 / 100)] + [45000 - 200000 * (16 / 100)]

= > [40000 – 26000] + [45000 – 32000]

= > 14000 + 13000 = Rs. 27000