Directions : Read the following bar graphs carefully and answer the questions…
2024
Directions : Read the following bar graphs carefully and answer the questions given below. The bar graphs shows discount percentage given on marked price of four different items in 2022 and 2024.
Note: (i) The marked price of an item can be same or different in both years.
(ii) The cost price of an item can be same or different in both the years.
The ratio of the marked price of Q and R in 2024 is 3:4, and item R is sold at a profit of 60%, and the difference between the cost price and the selling price of R in 2024 is Rs 960. If the marked price of Q in 2022 and 2024 is same, then find the selling price of Q in 2022.
- A.
Rs 2160
- B.
Rs 2240
- C.
Rs 2040
- D.
Rs 2350
- E.
Rs 2550
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Concept
For an item, Selling Price = Marked Price x (1 - discount/100). When an item is sold at a profit, Selling Price = Cost Price x (1 + profit/100), and the gap between selling price and cost price is exactly the profit amount. Read each year's discount from its own bar graph.
Application
From the 2024 graph, R's discount is 20%, so SP of R = MP of R x 0.80.
R is sold at 60% profit, so SP of R = CP of R x 1.60, which means profit = 0.60 x CP. The given gap of Rs 960 is this profit, so 0.60 x CP = 960, giving CP of R = Rs 1600.
Therefore SP of R = 1.60 x 1600 = Rs 2560, and MP of R = SP / 0.80 = 2560 / 0.80 = Rs 3200.
MP of Q : MP of R = 3 : 4 in 2024, so MP of Q in 2024 = 3200 x 3/4 = Rs 2400.
MP of Q in 2022 equals MP of Q in 2024, so MP of Q in 2022 = Rs 2400.
From the 2022 graph, Q's discount is 10%, so SP of Q in 2022 = 2400 x (1 - 0.10) = 2400 x 0.90 = Rs 2160.
Cross-check
Back-substitute: a 10% discount on Rs 2400 removes Rs 240, leaving Rs 2160, and the R-chain is consistent because 0.60 x 1600 = 960 matches the stated gap. So the selling price of Q in 2022 is Rs 2160.