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Study the following circle graph carefully that shows the spending of a country on various products imported from neighbouring country during a partic
Question

Study the following circle graph carefully that shows the spending of a country on various products imported from neighbouring country during a particular year and answer the question that follows.

If the amount spent on importing textiles and cereals during the year was ₹2 crore, then what was the total amount (approximately) spent on importing all the various products by the country in that year?

A.

₹6.5 crore


B.

₹4.25 crore

C.

₹5.9 crore

D.

₹3 crore

Correct option is C

Given:

The amount spent on importing textiles and cereals is ₹2 crore.

The angles of the sectors representing textiles and cereals are 58° and 64°, respectively.

Concept Used:

Amount per degree=Amount spent on textiles and cerealsTotal degrees for textiles and cereals Total amount spent=Amount per degree×Total degrees in a circle\text{Amount per degree} = \frac{\text{Amount spent on textiles and cereals}}{\text{Total degrees for textiles and cereals}} \\ \ \\\text{Total amount spent} = \text{Amount per degree} \times \text{Total degrees in a circle}​​

Solution:

Textiles: 58°
Cereals: 64°
Total degrees for textiles and cereals: 58° + 64° = 122°
Given that ₹2 crore was spent on textiles and cereals:
This corresponds to 122°.
Amount per degree = 2crore122°\frac{₹2 crore}{ 122°}​ ≈ ₹0.0164 crore per degree.
Total degrees for all products: 360°.
Total amount = 360° ×\times​ ₹0.0164 crore/degree ≈ ₹5.9 crore.

Option (C) is right.

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