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On a certain map of India the actual distance of 1450 km between two cities Delhi and Kolkata is shown as 5 cm. What scale is used to draw the map ?

1 $1 : 15 \times 10^{6}$ $1:15 \times {10^6}$
2 $1 : 20 \times 10^{6}$ $1:20 \times {10^6}$
3 $1 : 25 \times 10^{6}$ $1:25 \times {10^6}$
4 $1 : 29 \times 10^{6}$ $1:29 \times {10^6}$

Answer:- 1

Explanation:-

Solution:

5 cm on the map represents 1450 km
∴ 1 cm on the map represents

(\frac{1450}{5})

$\left( {\frac{{1450}}{5}} \right)$ km = 290 km
Hence, the scale is 1 cm : 290 km i.e.,

1 : 29 \times 10^{6}

$1:29 \times {10^6}{\text{ }}$

[∵ 290 km = (29 \times 10^{6}) cm]

$\left[ {\because 290{\text{km}} = \left( {29 \times {{10}^6}} \right){\text{cm}}} \right]$

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km = 290 km
Hence, the scale is 1 cm : 290 km i.e.,

1 : 29 \times 10^{6}

$1:29 \times {10^6}{\text{ }}$

[∵ 290 km = (29 \times 10^{6}) cm]

$\left[ {\because 290{\text{km}} = \left( {29 \times {{10}^6}} \right){\text{cm}}} \right]$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

5 cm on the map represents 1450 km
∴ 1 cm on the map represents

(\frac{1450}{5})

$\left( {\frac{{1450}}{5}} \right)$ km = 290 km
Hence, the scale is 1 cm : 290 km i.e.,

1 : 29 \times 10^{6}

$1:29 \times {10^6}{\text{ }}$

[∵ 290 km = (29 \times 10^{6}) cm]

$\left[ {\because 290{\text{km}} = \left( {29 \times {{10}^6}} \right){\text{cm}}} \right]$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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On a certain map of India the actual distance of 1450 km between two cities Delhi and Kolkata is shown as 5 cm. What scale is used to draw the map ?

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NCERT
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Hello Guest

On a certain map of India the actual distance of 1450 km between two cities Delhi and Kolkata is shown as 5 cm. What scale is used to draw the map ?

Post your Comments

Subject Wise

Exam Wise

NCERT 6 to 12

Paid Course

Practice Batch

NCERT
6 to 12