Question

If a man sells the chair at 7% loss and table at 17% profit then he earns 296 as total profit but he sells the chair at 7% and table at 12% profit then he earns 400 as total profit. find the cost of table ​

Answer 1

let chair be x & table be y

-0.07x +0.17y =296

0.07z +0.12y =400

solve it, we get y =2400( price of table)6 years agoHelpfull:

rs. 24007 years agoHelpfull: Yes(2) No(5)let the cost of chair be x & table be y

then;

for first objective-

total gain= gain-loss

296= 17/100 y-7/100 x ................(1)

for second objective-

total gain= gain-loss

400 =12/100 y+7/100 x .......(2)

by adding (1) & (2) we get

y=2400

ans

Answer 2

Step-by-step explanation:

Answer:

Let the Price of Chair be 100x and Price of Table be 100y

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$\underline{\bf Statement\:\textit{1 :}}$

$:\implies\sf 7\%\:loss\:on\:chair+17\%\:profit\:on\:table=Rs.\:296\\\\\\:\implies\sf - (7\% \times 100x) + (17\% \times 100y) = 296\\\\\\:\implies\sf -7x + 17y = 296 \qquad eq. - 1$

$\underline{\bf Statement\:\textit{2 :}}$

$:\implies\sf 7\%\:profit\:on\:chair+12\%\:profit\:on\:table=Rs.\:400\\\\\\:\implies\sf (7\% \times 100x) + (12\% \times 100y) = 400\\\\\\:\implies\sf 7x + 12y = 400 \qquad eq. - 2$

⠀

$\underline{\bigstar\:\textsf{Adding eq. 1 and eq. 2 :}}$

$:\implies\sf-7x + 17y = 296\\\\:\implies\sf \:\:\:7x + 12y = 400 \\ \frac{ \qquad \qquad \qquad \qquad \qquad \quad}{} \\:\implies\sf (17y + 12y) = 296 + 400\\\\\\:\implies\sf 29y = 696\\\\\\:\implies\sf y = \dfrac{696}{29}\\\\\\:\implies\sf y = 24$

$\rule{180}{1.5}$

$\underline{\bigstar\:\textsf{Cost of the Table :}}$

$\dashrightarrow\sf Table=100y\\\\\\\dashrightarrow\sf Table=100 \times 24 \\\\\\\dashrightarrow\underline{\boxed{\sf Table=Rs.\:2400}}$

⠀

$\therefore\:\underline{\textsf{Hence, Cost of the table is \textbf{Rs. 2400}}}.$