Step-by-step EXPLANATION:

GIVEN:-

The cost of a table is DOUBLE the cost of a chair and the cost of a cupboard is five times the cost of a table

To find:-

What is the ratio of the cost of the chair, table and the cupboard .

if the cost of a table is greater than that of a chair by rupees 2000 then find the cost of a chair, table and the cupboard.

Solution:-

Let the cost of a chair be Rs. X

Then ,The Cost of a table = double the cost of the chair = Rs. 2X

Cost of the cupboard = five times the cost of a table = Rs. 5(2X)=Rs. 10X

Ratio of the costs of the chair, table and cupboard

=>X:2X:10X

=>1:2:10

Given that

if the cost of a table is greater than that of a chair by rupees 2000

=>Cost of table = Cost of chair +Rs.2000

=> 2X = X +2000

=>2X-X = 2000

=>X = 2000

The value of X = Rs. 2000

The cost of a chair = Rs. 2000

The cost of a table = 2×2000=Rs. 4000

The cost of the cupboard = 5×4000

=Rs. 20000

Answer:-

The cost of a chair = Rs. 2000

The cost of a table = Rs. 4000

The cost of the cupboard = Rs. 20000

Check:-

The cost of a chair =Rs. 2000

The cost of a table = Rs. 4000

=>2×2000

=>Double the cost of a chair

and

The cost of the cupboard = Rs. 20000

=>5×4000

=>5 times the cost of the table

Their ratio = 2000:4000:20000

=>2:4:20

=>1:2:10

Verified the given relations.