Maths-
General
Easy
Question
The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013.
The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer?
The correct answer is: 3
○ The concept used in this question is of percentage of number.
Percentage of number is given by
○ Resulted no. after x% decrease in it will be given by
y - x% of y
○ Resulted no. after x% increase in it will be given by
y + x% of y
- Step by step explanation:
○ Given:
The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011.
The number of international tourist arrivals in Russia in 2012 = 24.7 millions
The number of international tourist arrivals in Russia in 2013 = 28.4 millions
○ Step 1:
○ Let the number of tourist in Russia in 2011 be x.
Given, the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011.
∴ x + 13.5% of x = 24.7
x + 0.135 x = 24.7
1.135x = 24.7
x = 21.76
○ Step 2:
Calculate increase in number.
24.7 - 21.76
2.94 3
∴ k = 3.
- Final Answer:
Hence, value of k is 3.
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