Study the following table and answer the question: Number of cars sold by dealers A, B, C, D & E during first six months of 2018. Month Dealer January February March April May June A 620 640 628 635 430 625 B 600 642 635 580 450 620 C 640 635 640 540 625 740 D 520 645 722 740 600 780 E 548 638 720 740 650 800 In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018 ?

Study the following table and answer the question: Number of cars sold by dealers A, B, C, D & E during first six months of 2018. Month Dealer January February March April May June A 620 640 628 635 430 625 B 600 642 635 580 450 620 C 640 635 640 540 625 740 D 520 645 722 740 600 780 E 548 638 720 740 650 800 In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018 ? Correct Answer 1014

Given:

Sales of cars by dealer D in May 2018 = 600 

Sales of cars by dealer D in June 2018 = 780 

Calculation:

Percentage increase of sales in June 2018 over May 2018 = (780 - 600) ÷ 600 × 100 

⇒ 30%

The percentage increase of sales of cars by dealer D in July 2018 = Percentage increase of sales in June 2018 over May 2018

⇒ (July sales - June sales) ÷ June sales × 100 = 30%

⇒ (July sales - 780) ÷ 780 × 100 = 30 

⇒ July sales - 780 = 3 × 78 

∴ July sales = 234 + 780 = 1014

Shortcut Trick Percentage increase of sales in June 2018 over May 2018 = 30%

July sales =  June sales × (100 + 30)% 

⇒ 780 × 130% 

⇒ 780 × 130/100 = 1014

Confusion Points Please read the question correctly, the data of July is given separately in the question.

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Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right