# Difficult Pie Charts Solved QuestionData Interpretation Discussion

Common Information

Five people A, B, C, D and E went to a shop. In that shop, only five different types (P, Q, R, S and T) of pens were sold. Each of the five people purchased exactly four pens, each of a different type. Also, no two of the people purchased the same set of four different types of pens. The following bar graph provides information about the price (in Rs.) at which one pen of each of the given types is sold in the shop.

I. The price of the type of pen that was not purchased by A was Rs.10 more than the price of the pen, which was not purchased by C.

II. The price of the type of pen that was not purchased by B was Rs.10 more than the price of the pen, which was not purchased by D.

 Q. Common Information Question: 3/4 If the total amount (in Rs.) spent by C in purchasing the four pens was 110, then who among the following spent the maximum amount (in Rs.) in purchasing the four pens?
 ✔ A. D and E ✖ B. D only ✖ C. E only ✖ D. A only

Solution:
Option(A) is correct

From additional information (I), we can conclude that the type of pen which was not purchased by A and C could be (Q, P), (R, Q), (R, S), (S, T), (S, P) and (Q, T) in the same order.

Similarly, from additional information (II), we can conclude that the type of pen which was not purchased by B and D could be (Q, P), (R, Q), (R, S), (S, T), (S, P) and (Q, T) in the same order.

The following table lists down the type of pen which was not purchased by each of the people.

Table below can be scrolled horizontally

 Cases People I II III IV V VI VII VIII IX X XI XII A Q Q R R R S S S Q Q S R B R S S S Q Q R R R S Q Q C P P Q Q S T T P T T P S D S T T P P P Q Q S P T T E T R P T T R P T P R R P

Given that the total amount (in Rs.) spent by C in purchasing the four pens was 110.
It means that the four pens purchased by C could be (P, R, S and T) or (P, Q, R and T).

In the table, it corresponds to the cases III, IV, V or XII. In all the four cases, E and D are the people who have not purchased the pens of types P or T and hence, have spent the maximum amount (in Rs.) in purchasing the four pens.