Directions :Read the data carefully and answer the following question.
The bar graph given below shows the percentage of unbaked bricks out of total number of bricks (baked + unbaked) manufactured and the percentage of sold baked bricks as the percentage of unsold baked bricks by four companies.
Number of bricks manufactured = Number of baked bricks manufactured + Number of unbaked bricks manufactured
Number of baked bricks manufactured = Number of sold baked bricks + Number of unsold baked bricks
Note:
Number of baked bricks sold by company C is 100 more than that by company D.
The average number of unbaked bricks manufactured by company B and C together is 2600.
The number of bricks manufactured by another company E is 20% more than that by company D and the ratio of number of sold to unsold baked bricks of company E is 4:5 and the number of unbaked bricks manufactured by company E is 2700 and the number of unsold baked bricks of company D is 2400. If the number of sold and unsold baked bricks of company E is 5(P2 - 1) and 12(Q2 - 14) respectively, then the root of which of the following equations can satisfies the values of P and Q?
1.x2 - 47x + 550 = 0
2.x2 - 43x + 462 = 0
3.x2 - 33x + 270 = 0
4.x2 - 40x + 391 = 0
5.x2 - 35x + 306 = 0
Correct Answer : 4
Solution :
Number of unsold baked bricks of company D = 2400
Number of bricks manufactured by company D = (100+50)/100 * 100/50 * 2400 = 7200
Number of bricks manufactured by company E = 120% of 7200 = 8640
Number of unbaked bricks manufactured by company E = 2700
Number of baked bricks manufactured by company E = 8640 - 2700 = 5940
Number of sold baked bricks of company E = 5940 * 4/9 = 2640
Number of unsold baked bricks of company E = 5940 * 5/9 = 3300
5(P2 - 1) = 2640
P2 = 529
P = 23
12(Q2 - 14) = 3300
Q2 = 289
Q = 17
So, equation = x2 - (23 + 17)x + 23*17 = 0
x2 - 40x + 391 = 0
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