Question

1. last year, approximately 40 lakh tourists visited india. read the circle chart and answer the questions.

(a) how many tourists came to india from africa?
(b) how many tourists came from north america and europe?
(c) how many tourists came from africa and the remaining continents?
(d) what is the difference between the numbers of tourists from africa and from north america and europe?

Explanation:

To solve these questions, we first need to determine the fraction of tourists from each region based on the circle chart (pie chart). From the handwritten notes, we can infer the following fractions:

• North America and Europe: $\frac{1}{2}$ (since $\frac{1}{2}$ of 40 lakh is 20 lakh, and there's an additional 5 lakh? Wait, maybe the pie chart has:
• North America and Europe: $\frac{1}{2}$ (20 lakh) + $\frac{1}{8}$ (5 lakh)? Wait, 40 lakh is 4,000,000. Let's re-express:

Wait, 40 lakh = 4,000,000.

From the handwritten notes:

• North America and Europe: $\frac{1}{2}$ of 40,00,000 = 20,00,000 and $\frac{1}{8}$ of 40,00,000 = 5,00,000? Wait, maybe the fractions are:

• Africa: $\frac{1}{4}$ (since $\frac{1}{4}$ of 40 lakh is 10 lakh)
• Remaining continents: $\frac{1}{8}$ (5 lakh)
• North America and Europe: $\frac{1}{2} + \frac{1}{8} = \frac{5}{8}$? Wait, no, let's look at the colors:

The pie chart has:

• Pink (North America and Europe): $\frac{1}{2} + \frac{1}{8}$? Wait, the handwritten note says $\frac{1}{2}$ of 40,00,000 is 20,00,000 and $\frac{1}{8}$ of 40,00,000 is 5,00,000, so total 25,00,000?

• Africa: $\frac{1}{4}$ of 40,00,000 = 10,00,000? Wait, no, the handwritten note says $\frac{1}{4}$ of 40,00,000 is 10,00,000 (since 40,00,000 * $\frac{1}{4}$ = 10,00,000).

• Remaining continents: $\frac{1}{8}$ of 40,00,000 = 5,00,000.

Wait, let's confirm:

Total tourists: 40,00,000 (40 lakh).

Let's assume the fractions are:

• North America and Europe: $\frac{5}{8}$ (since $\frac{1}{2} + \frac{1}{8} = \frac{5}{8}$)
• Africa: $\frac{1}{4}$ (25%)
• Remaining continents: $\frac{1}{8}$ (12.5%)

Let's check: $\frac{5}{8} + \frac{1}{4} + \frac{1}{8} = \frac{5}{8} + \frac{2}{8} + \frac{1}{8} = \frac{8}{8} = 1$. Yes, that adds up.

So:

• North America and Europe: $\frac{5}{8}$ of 40,00,000 = $\frac{5}{8} * 4,000,000 = 2,500,000$ (25 lakh)
• Africa: $\frac{1}{4}$ of 40,00,000 = $\frac{1}{4} * 4,000,000 = 1,000,000$ (10 lakh)
• Remaining continents: $\frac{1}{8}$ of 40,00,000 = $\frac{1}{8} * 4,000,000 = 500,000$ (5 lakh)

Now let's solve each part:

(a) Tourists from Africa:

Africa's fraction: $\frac{1}{4}$

Number of tourists = $\frac{1}{4} * 40,00,000 = 10,00,000$ (10 lakh)

(b) Tourists from North America and Europe:

Fraction: $\frac{5}{8}$ (or $\frac{1}{2} + \frac{1}{8}$)

Number of tourists = $\frac{5}{8} * 40,00,000 = 25,00,000$ (25 lakh)

(c) Tourists from Africa and remaining continents:

Africa: 10,00,000; Remaining continents: 5,00,000

Total = 10,00,000 + 5,00,000 = 15,00,000 (15 lakh)

(d) Difference between Africa and North America + Europe:

North America + Europe: 25,00,000; Africa: 10,00,000

Difference = 25,00,000 - 10,00,000 = 15,00,000 (15 lakh)

Wait, but let's verify the fractions again. Maybe the pie chart has:

• North America and Europe: $\frac{1}{2}$ (20 lakh)
• Africa: $\frac{1}{4}$ (10 lakh)
• Remaining continents: $\frac{1}{4}$? No, that would add to 1. Wait, 20 + 10 + 10 = 40. No, 20 (North America + Europe) + 10 (Africa) + 10 (Remaining) = 40. But the handwritten note says Remaining continents: 5,00,000 (which is $\frac{1}{8}$ of 40 lakh). So:

• North America and Europe: $\frac{1}{2} + \frac{1}{8} = \frac{5}{8}$ (25 lakh)
• Africa: $\frac{1}{4}$ (10 lakh)
• Remaining: $\frac{1}{8}$ (5 lakh)

Yes, that adds up: 25 + 10 + 5 = 40 lakh.

So:

(a) Africa: $\frac{1}{4} * 40,00,000 = 10,00,000$

(b) North America + Europe: $\frac{5}{8} * 40,00,000 = 25,00,000$

(c) Africa + Remaining: $10,00,000 + 5,00,000 = 15,00,000$

(d) Difference: $25,00,000 - 10,00,000 = 15,00,000$

Let's present each part:…

Step1: Determine Africa's fraction

Africa's fraction is $\frac{1}{4}$ (from the pie chart).

Step2: Calculate number of tourists

Number of tourists = $\frac{1}{4} \times 40,00,000 = 10,00,000$

Step1: Determine North America + Europe's fraction

North America and Europe's fraction is $\frac{5}{8}$ (from the pie chart: $\frac{1}{2} + \frac{1}{8}$).

Step2: Calculate number of tourists

Number of tourists = $\frac{5}{8} \times 40,00,000 = 25,00,000$

Step1: Calculate tourists from Africa

Africa: $\frac{1}{4} \times 40,00,000 = 10,00,000$

Step2: Calculate tourists from remaining continents

Remaining continents: $\frac{1}{8} \times 40,00,000 = 5,00,000$

Step3: Sum the two

Total = $10,00,000 + 5,00,000 = 15,00,000$

Answer:

10,00,000 (10 lakh)

(b)