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 800 people went to restaurant Q. As per new festival scheme, if the average cashback for only cash users who do not get 2% cashback offer is Rs. 200 per person, then find the total amount of cashback given to the person who initially didn’t get 2% cashback from those who are paying bill through cash. (in Rs)
- A.
37600
- B.
38400
- C.
29000
- D.
98000
- E.
None of these
Show answer & explanation
Correct answer: B
Concept
In a line-graph DI problem, each line is a percentage measured on its OWN base, not on the grand total. Here the debit-card line is a percentage of all people, but the cashback lines are percentages of a sub-group (debit users or cash users). So you must move base-by-base: first split the total into debit vs cash, then take the cashback percentage only of the relevant sub-group. The count of cash users who did NOT get the 2% offer is (100% - the 2%-cashback share) applied to the cash-user count, and the festival payout is that headcount times the per-person amount.
Application
Read restaurant Q from the graph: debit-card users = 40% of the total, and the share of cash users who got 2% cashback = 60% (grey line).
Total people at Q = 800. Debit users = 40%, so cash users = 100% - 40% = 60% of 800 = 480 people.
Among the 480 cash users, 60% received the 2% cashback, so the people who did NOT get it = 100% - 60% = 40% of 480 = 192 people.
Under the festival scheme these 192 people get an average of Rs. 200 each, so total cashback = 192 x 200 = Rs. 38,400.
Cross-check
Verify the base each percentage sits on: 480 + (debit users 320) = 800, which matches the total, so the 60% cash split is consistent. The 192 figure is 40% of the cash group only (not 40% of 800, which would wrongly give 320), confirming Rs. 38,400.