The following pie chart shows the proportion of number of deaths due to various causes in a country during a given month. Study the chart and answer the following question.

 

Screenshot 2021-10-19 181037

 

If the number of deaths due to heart disease is 6900, then what is number of deaths due to cancer?

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  1. 4600
  2. 5700
  3. 5290
  4. 6100

Answer (Detailed Solution Below)

Option 3 : 5290
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Detailed Solution

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Given:

The number of deaths due to heart disease is 6900.

Calculation:

According to the question,

Let the number of deaths due to various cases be x

The number of deaths due to heart disease = 30% of x

⇒ 30x/100 = 6900

⇒ x = 690000/30

⇒ x = 23000

Number of deaths due to cancer 23% of x

⇒ 23 × 23000/100

⇒ 5290

∴ Number of deaths due to cancer is 5290.

 

Shortcut Trick

The number of deaths due to heart disease is 6900.

⇒ 30% = 6900

⇒ 1% = 230

Then, 

According to the question and pie chart

⇒ 23% = 23 × 230

⇒ 5290

∴ Number of deaths due to cancer is 5290.

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