Question

The cost of a table is three times the cost of a chair. If the total cost of chair and a table is Rs 600 . Find the cost of the table

Answer 1

Given

The cost of a table is three times the cost of a chair. If the total cost of chair and a table is Rs 600 .

Find out

Find the cost of the table.

Solution

★ Let the cost of chair be x then the cost of a table be 3x

According to the given condition

• Total cost of chair and table = Rs.600

→ x + 3x = 600

→ 4x = 600

→ x = 600/4

→ x = 150

Hence,

• Cost of chair = x = Rs.150
• Cost of table = 3x = 3*150 = Rs.450

_____________________

✪ Another method ✪

★ Let the cost of table be x then cost of chair be y

According to the given condition

The cost of a table is three times the cost of a chair

• x = 3y ---(i)

The total cost of chair and a table is Rs 600 .

• x + y = 600 ---(ii)

Substitute the value of x in eqⁿ (ii)

→ x + y = 600

→ 3y + y = 600

→ 4y = 600

→ y = 600/4

→ y = 150

Put the value of y in eqⁿ (i)

→ x = 3y

→ x = 3 × 150

→ x = 450

Hence,

• Cost of chair = Rs.150
• Cost of table = Rs.450

Answer 2

Given :

• The cost of a table is three times the cost of a chair.

• The total cost of chair and a table is Rs 600.

To find :

• The cost of table =?

Step-by-step explanation :

Let, the cost of a chair be, x.

Then, the cost of table be, 3x.

It is Given that,

The total cost of chair and a table is Rs 600 .

According to the question,

➮ x + 3x = 600

➮ 4x = 600

➮ x = 600/4

➮ x = 150.

Therefore, We got the value of, x = 150.

Hence,

The cost of table, 3x = 3 × 150 = ₹ 450.

Verification :

We have,

x + 3x = 600

On putting the value of, x = 150, in the above equation, we get,

150 + 3 × 150 = 600

150 + 450 = 600

600 = 600

LHS = RHS

Hence, it is verified.