Question

The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by- ?​

Answer 1

100 Rs

Step-by-step explanation:

let cost a chair be RS x and cost of a table be RS y.

2x + 3y = RS 1300 [ equation-1]

3x + 2y = RS 1200 [ equation-2]

multiply equation 1 by 3 and equation 2 by 2

6x + 9y = RS 3900

6x + 4y = RS 2400

now, subtract equation 1 from equation 2

6x + 9y -( 6x + 4y) = RS 3900 - RS 2400

6x + 9y - 6x - 4y = RS 1500

5y = RS 1500

y = RS 1500/5

y = RS 300

now put value of y in equation 1

2x + 3y = RS 1300

2x + 3(300 RS) = RS 1300

2x + RS 900 = RS 1300

2x = RS 1300-Rs 900

2x = RS 400

x = RS 200

so, cost of table is RS 100 more than that of chair.

hope it helps you

please mark me as brainlest

Answer 2

$\huge\mathcal{\mid{\mid{\underline{\purple{Good\: Afternoon\:}}}{\mid{\mid}}}}$

Qᴜᴇsᴛɪᴏɴ ;-

✰ Tʜᴇ ᴄᴏsᴛ ᴏғ 2 ᴄʜᴀɪʀs ᴀɴᴅ 3 ᴛᴀʙʟᴇs ɪs Rs.1300. Tʜᴇ ᴄᴏsᴛ ᴏғ 3 ᴄʜᴀɪʀs ᴀɴᴅ 2 ᴛᴀʙʟᴇs ɪs Rs.1200. Tʜᴇ ᴄᴏsᴛ ᴏғ ᴇᴀᴄʜ ᴛᴀʙʟᴇ ɪs ᴍᴏʀᴇ ᴛʜᴀɴ ᴛʜᴀᴛ ᴏғ ᴇᴀᴄʜ ᴄʜᴀɪʀ ʙʏ _ ?

$\huge{\orange{\boxed{\fcolorbox{lime}{blue}{\color{aqua}{ANSWER}}}}}$

Lᴇᴛ,

• $\bf{\red{Price~of~chair}}\:=\:p\:$

• $\bf{\red{Price~of~table}}\:=\:q\:$

$\sf\orange{According\: to\: the\: question,}$

$\pink\longmapsto\:\bf{2p~+~3q~=~Rs.1300~}--(1)$

$\pink\longmapsto\:\bf{3p~+~2q~=~Rs.1200~}--(2)$

❥︎ Mᴜʟᴛɪᴘʟʏ 3 ɪɴ ᴇǫᴜᴀᴛɪᴏɴ(1) ᴀɴᴅ 2 ɪɴ ᴇǫᴜᴀᴛɪᴏɴ(2), ᴡᴇ ɢᴇᴛ

$\red\longrightarrow\:\bf\gray{6p~+~9q~=~Rs.3900~}--(a)$

$\red\longrightarrow\:\bf\gray{6p~+~4q~=~Rs.2400~}--(b)$

❥︎ Now, substract ᴇǫᴜᴀᴛɪᴏɴ(b) from ᴇǫᴜᴀᴛɪᴏɴ(a), ᴡᴇ ɢᴇᴛ

╰➝ 5q = Rs.1500

╰➝ q = 1500/5

╰➝ q = Rs.300

❥︎ Now, put the value of q in equation(2)

$\longrightarrow\:\rm{3p~+~2\times{300}~=~Rs.1200~}$

$\longrightarrow\:\rm{3p~+~600~=~Rs.1200~}$

$\longrightarrow\:\rm{3p~=~1200~-~600}$

$\longrightarrow\:\rm{3p~=~Rs.600}$

$\longrightarrow\:\rm{p~=~\dfrac{600}{3}}$

$\longrightarrow\:\rm\gray{p~=~Rs.200}$

$\huge\therefore$ Pʀɪᴄᴇ ᴏғ ᴄʜᴀɪʀ ɪs 'Rs.200' .

$\huge\therefore$ Pʀɪᴄᴇ ᴏғ ᴛᴀʙʟᴇ ɪs 'Rs.300' .

➪ Cᴏsᴛ ᴏғ ᴇᴀᴄʜ ᴛᴀʙʟᴇ ɪs ᴍᴏʀᴇ ᴛʜᴀɴ ᴛʜᴀᴛ ᴏғ ᴇᴀᴄʜ ᴄʜᴀɪʀ,

$\longmapsto\:\rm{Rs.300~-~Rs.200}$

$\longmapsto\:\bf\green{Rs.100}$