Direction: Read the following information carefully and answer the questions based on it. The given bar graph shows the percentage of the Laptops, Desktops and Macs sold by company A, B and C out of the products manufactured by the companies.
Tabulate the Data for further Convenience,
1) The difference between the number of Macs manufactured by company A and B is same as that of the company B and C. If the number of Macs sold by company B and C is same, then find the number of Macs manufactured by the company A is what percentage of the company
B. (A manufactured highest number of Macs and C manufactured the lowest number of Macs)
A. 69.23%
B. 133.33%
C. 144.44%
D. 125%
E. None of these
Sol:
According to the Question,
A – B = B – C
A + C = 2B ——- (1)
Also, 50% of B = 90% of C
B/C = 9x/5x——— (2)
From (1) and (2),
A + 5x = 2*9x
A = 13x
The required % = 13x/9x * 100 = 144.44%
Hence, the answer is option C
2) If the number of Macs manufactured by the company A and B is 40% more than the number of Laptops manufactured by each company A and B. The average number of Macs sold by company A and B together is K more than the average number of laptops sold by company A and B together. Then find the number of Laptops unsold by company B. Where, K = 800
+ 11.5% of the number of laptops manufactured by company A.
A. 1200
B. 4000
C. 3500
D. 2800
E. Can’t be determined
Sol:
According to the question,
Let, the number of Laptops manufactured by the company A and B is 100a and 100b respectively.
The number of Macs manufactured by company A and B is 140a and 140b respectively.
Now according to the question,
(45% x 140a + 50% of 140b)/2 – (40% x 100a +
30% x 100b)/2 = 800 + 11.5% of 100a
63a + 70b – 40a – 30b = 1600 + 23a
23a + 40b = 1600 + 23a
40b = 1600
So, the value of b = 40
Number of laptops manufactured by company B
= 100b
Number of laptops sold by company B = 30b
Number of laptops unsold by company B= 100b
– 30b = 70b
= 70 x 40 = 2800
Hence, the answer is option D
3) If the sum of the desktops sold by company A and B is 2586 and the sum of the desktops sold by company A and C is 3930. If the number of desktops sold by company C is 87.5% more than that of company B, then find the number of laptops manufactured by company C?
A. 4200
B. 2560
C. 1536
D. 1050
E. None of these
Sol:
According to the question,
Sum of the Desktops sold by company (A + B) =
2586 —– (1)
Sum of the Desktops sold by company (A + C) =
3930 —– (2)
From (1) and (2),
Desktops sold by company C – Desktops sold by company B
= 1344
Also, Desktops sold by company C = 187.5% of desktop sold by the company B
So, 187.5 of the desktops sold by the company
B – 100 of the desktop sold by company B =
1344*100
Desktops sold by the company B = 1344/87.5 x
100 = 1536
Desktops sold by the company C = 187.5% of
1536 = 2880
Desktops manufactured by the company C =
2880/80 x 100 = 3600
Hence, the answer is option E
