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
Total 3000 people went to restaurant R. Find the difference between the number of customers who are getting 10% cashback and the number of customers who are using cash payments.
- A.
480
- B.
460
- C.
590
- D.
500
- E.
None of these
Show answer & explanation
Correct answer: A
Concept
In a multi-line percentage graph each line can sit on a DIFFERENT base, so percentages must be turned into actual head-counts step by step rather than subtracted directly. Here the debit-card line gives the share of the TOTAL people who pay by debit card (the rest pay by cash), while the "10% cashback" line gives the share OF THE DEBIT-CARD USERS who receive that cashback.
Application (Restaurant R)
Total people at R = 3000.
Debit-card users = 60% of 3000 = 1800 (the debit-card line reads 60 at R).
Cash-payment users = total − debit users = 3000 − 1800 = 1200.
Customers getting 10% cashback = 40% of the 1800 debit-card users = 720 (the 10%-cashback line reads 40 at R, taken on the debit users).
Required difference = |720 − 1200| = 480.
Cross-check
The split reconstructs the total: 1800 debit + 1200 cash = 3000, consistent. The 50% "2% cashback using cash" line is data for other parts of this set and is not used here, because the question asks for the count of cash-payment users, not the count receiving 2% cashback. Hence the difference is 480.