Question Details

Directions (61-65):The line graph given below shows the number of laptops (HP and Dell) sold by Hemant in five days. Read the Line graph given below carefully and answer the following questions.

If price of HP laptop is 20% more than that of Dell laptop, then find the amount he earned on Wednesday is what percentage of amount he earned on Thursday.

Options

A

60%

B

75%

C

50%

D

100%

E

80%

Show Answer

Correct Answer :

Option E

80%

Solution :

The correct answer is 80%.


Step-by-step Explanation:


Step 1: Understand the given data from the line graph

Line Graph

From the given line graph, we can observe the number of HP laptops (blue line) and Dell laptops (orange line) sold on Wednesday and Thursday:

• On Wednesday:
Number of HP laptops sold = 60
Number of Dell laptops sold = 30

• On Thursday:
Number of HP laptops sold = 50
Number of Dell laptops sold = 80


Step 2: Define the selling price of laptops

Let the price of one Dell laptop be P.

Given that the price of an HP laptop is 20% more than that of a Dell laptop:

Price of HP laptop=P+0.20P=1.2P


Step 3: Calculate the total amount earned on Wednesday

Amount earned on Wednesday=(HP laptops sold×Price of HP)+(Dell laptops sold×Price of Dell)

Amount earned on Wednesday=(60×1.2P)+(30×P)=72P+30P=102P


Step 4: Calculate the total amount earned on Thursday

Amount earned on Thursday=(HP laptops sold×Price of HP)+(Dell laptops sold×Price of Dell)

Amount earned on Thursday=(50×1.2P)+(80×P)=60P+80P=140P


Step 5: Find the required percentage

We need to find the percentage of the amount earned on Wednesday relative to Thursday:

Required Percentage=Amount earned on WednesdayAmount earned on Thursday×100

Required Percentage=102P140P×10080%


Thus, the amount earned on Wednesday is approximately 80% of the amount earned on Thursday.

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