Directions: The line graph shows the percentage of people using debit card to…
2023
Directions: The line graph shows the percentage of people using debit card to pay the bill, percentage of people getting 10% cashback using debit card out of the total people using debit card for payment, percentage of people getting 2% cashback using cash payments out of the total people using cash for payment while paying their bills either through debit card or cash only in four different restaurants (P, Q, R and S) on any day. Read the line graph carefully and answer the following questions.
Note: (i) Cash back is given to customers in the given manner.
1. Debit card users get 10% cashback
2. Cash payments users get 2 % cashback
(ii) Total people who paid bill using debit card = number of people getting 10% discount + number of people did not get any discount using debit card
(iii) Total people who paid bill using cash = number of people getting 2% discount + number of people did not get any discount using cash
If 630 people are using debit card in restaurant S, then find the total number of people getting 2 % cashback on cash.
- A.
81
- B.
89
- C.
90
- D.
91
- E.
None of these
Show answer & explanation
Correct answer: A
Concept
In a percentage-based data interpretation problem, a percentage is always read against its own stated base. Here three different bases are in play: the people using debit card are a percentage of the total people at a restaurant, while the 10% cashback group is a percentage of the debit-card users and the 2% cashback group is a percentage of the cash users. To move from one quantity to another you must first recover the base it sits on, then apply the next percentage to that base.
Application
From the line graph, for restaurant S: people using debit card = 70% of the total people, and people getting 2% cashback on cash = 30% of the cash users.
Debit-card users in S are 70% of the total, and this equals 630 people. So total people = 630 / 0.70 = 900.
Cash users in S = total - debit-card users = 900 - 630 = 270.
People getting 2% cashback on cash = 30% of the cash users = 0.30 x 270 = 81.
So the number of people getting 2% cashback on cash in restaurant S is 81.
Cross-check
Verify the base recovery: 70% of 900 = 0.70 x 900 = 630, which matches the given debit-card count, so total = 900 and cash users = 270 are consistent. Then 30% of 270 = 81 confirms the result independently of how the total was first obtained.