Question

2 chairs and 3 tables cost rs1025 and 3 chairs and 2 tables cost rs 1100 find difference between cost of on chair and table​

Answer 1

✬ Difference = Rs 75 ✬

Step-by-step explanation:

Given:

• 2 chairs and 3 tables cost Rs 1025.
• 3 chairs and 2 tables cost Rs 1100.

To Find:

• Difference between cost of a chair and table ?

Solution: Let cost of one chair be rs x and cost of one table be rs y. Therefore,

➟ 2 chairs cost = Rs 2x

➟ 3 tables cost = Rs 3y

• 2x + 3y = Rs 1025

$\implies{\rm }$ 2x + 3y = 1025

$\implies{\rm }$ 2x = 1025 – 3y

$\implies{\rm }$ x = 1025 – 3y/2.....(1)

➟ 3 chairs = Rs 3x

➟ 2 tables = Rs 2y

• 3x + 2y = 1100

$\implies{\rm }$ 3x + 2y = 1100

$\implies{\rm }$ 3(1025 – 3y)2 + 2y = 1100

$\implies{\rm }$ 3075 – 9y/2 + 2y = 1100

$\implies{\rm }$ 3075 – 9y + 4y/2 = 1100

$\implies{\rm }$ 3075 – 5y = 1100(2)

$\implies{\rm }$ 3075 – 2200 = 5y

$\implies{\rm }$ 875 = 5y

$\implies{\rm }$ 175 = y

So, Price of

➭ One table is Rs y = Rs 175

➭ One chair is x = 1025 – 3(175)/2

1025 – 525/2 = 500/2 = Rs 250

∴ Difference = Chair – Table

➯ 250 – 175 = Rs 75

Answer 2

Step-by-step explanation:

$\bf \large \underline{ \blue{Question :}} \:$

• 2 chairs and 3 tables cost rs1025 and 3 chairs and 2 tables cost rs 1100 find difference between cost of on chair and table

$\bf \large \underline{ \green{Given :}} \:$

• 2 chairs and 3 tables cost rs1025

• 3 chairs and 2 tables cost rs 1100

$\bf \large \underline{ \purple{To \: Find:}} \:$

• Find difference between cost of on chair and table.

$\bf \large \underline{ \pink{Solution :- }} \:$

$\sf \: Let \: chair \: =x \\ \sf \: table \: = \: y$

Then,

$\sf \dag \: according \: to \: the \: question :$

$\sf \: 2x+3y= 1025 ....Equ \: 1 \\ </p><p> \sf \: 3x+2y= 1100 .....Equ \: 2$

$\text{ \dag \: \orange{Subtract Equation 1 from Equation 2}}$

$\sf we \: get \: x - y \: = 75$

$\bigstar\text{ difference between cost of on chair and table is 75}$