Question Details

Directions: Study the table below carefully and answer the given question.

The table displays the total number of laptops sold by five different stores (P, Q, R, S, and T), which sell two brands of laptops (Dell and HP), along with the ratio of Dell laptops sold to HP laptops sold by each store.

Stores Total number of Laptops (Dell and HP) Ratio of Dell Laptops : HP Laptops
P 400
2 : 3
Q 550
6 : 5
R 700
3 : 4
S 600
8 : 7
T 250
11 : 14

The number of Dell laptops sold by store T is what percentage of the number of HP laptops sold by store R?

Options

A

27.5%

B

45.5%

C

40.5%

D

32.5%

E

20.5%

Show Answer

Correct Answer :

Option A

27.5%

Solution :

The correct answer is 27.5%.

Step 1: Find the number of Dell laptops sold by store T.

From the given table, for store T:

Total number of laptops (Dell + HP) = 250

Ratio of Dell laptops : HP laptops = 11 : 14

Total sum of ratio terms = 11 + 14 = 25

Value of 1 ratio part = 25025=10

Number of Dell laptops sold by store T = 11×10=110

Step 2: Find the number of HP laptops sold by store R.

From the given table, for store R:

Total number of laptops (Dell + HP) = 700

Ratio of Dell laptops : HP laptops = 3 : 4

Total sum of ratio terms = 3 + 4 = 7

Value of 1 ratio part = 7007=100

Number of HP laptops sold by store R = 4×100=400

Step 3: Calculate the required percentage.

The percentage of Dell laptops sold by store T relative to HP laptops sold by store R is calculated as follows:

Required Percentage=(Dell laptops sold by store THP laptops sold by store R)×100

Required Percentage=(110400)×100

Required Percentage=1104=27.5%

Thus, the number of Dell laptops sold by store T is 27.5% of the number of HP laptops sold by store R.

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