Question

2 chair and 3 tables cost rupees1025 and 3chair and 2 table cost rupees 1100. What is the difference between the cost of 1table and 1 chair
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Answer 1

$\mathfrak{\large{\underline{\underline{Answer : -}}}}$

$\mathfrak{\large{\underline{\underline{Explanation : -}}}}$

Let the cost of each chair be x

Let the cost of each table be y

Cost of 2 chairs and 3 tables = Rs.1025

Equation formed :

2x + 3y = 1025----(1)

Cost of 3 chairs and 2 tables = 1100

Equation formed :

3x + 2y = 1100-----(2)

By subtracting equation (1) from (2)

3x + 2y = 1100

2x + 3y = 1025

(-)*(-)****(-)

----------------------------

x - y = 75

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Difference between cost of 1 chair and 1 table = Rs. 75

Therefore the difference between cost of 1 chair and 1 table is Rs. 75

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Assumption :-

★Cost of 1 chair = p

★Cost of 1 table = c

★Situation :-

2p + 3c = 1025 ...... (1)

3p + 2c = 1100 ...... (2)

★Here we solve (1) and (2) by Elimination

★So,

★Multiplying (1) by 2 and (2) by 3 :-

4p - 9p = 2050 - 3300

- 5p = -1250

${\boxed{\sf\:{p=\dfrac{-1250}{-5}}}}$

p = 250

$\fbox{Put\;the\;value\;in \;(1)}$

2(250) + 3c = 1025

500 + 3c = 1025

3c = 1025 - 500

3c = 525

${\boxed{\sf\:{c=\dfrac{525}{3}}}}$

c = 175

★Cost of 1 chair = 250

★Cost of 1 table = 175

$\fbox{Difference}$

= 250 - 175

= 75