Q6:- The price of 2 tables and 3 chairs is 1040 The cost of a table is 80 more than a chair. Find the price of each

Question

Q6:- The price of
2 tables and 3 chairs is 1040
The cost
of a table is 80 more than a
chair. Find the price of
each item.​

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Luna 1 month 2021-08-14T00:06:11+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T00:07:46+00:00

    Solution :

    Let the price of each table be Rs.r & let the price of each chair be Rs.m respectively;

    \underbrace{\bf{1^{st}\:Case\::}}}

    \longrightarrow\sf{r = m + 80 ...............(1) }

    \underbrace{\bf{2^{nd}\:Case\::}}}

    \longrightarrow\sf{2r + 3m = 1040}\\\\\longrightarrow\sf{2(m+80) + 3m = 1040\:\:[from(1)]}\\\\\longrightarrow\sf{2m + 160 + 3m = 1040}\\\\\longrightarrow\sf{5m + 160 = 1040}\\\\\longrightarrow\sf{5m = 1040 - 160}\\\\\longrightarrow\sf{5m = 880}\\\\\longrightarrow\sf{m =\cancel{880/5}}\\\\\longrightarrow\bf{m = Rs.176}

    ∴Putting the value of m in equation (1),we get;

    \longrightarrow\sf{r = 176 + 80}\\\\\longrightarrow\bf{r = Rs.256}

    Thus;

    The cost price each table will be Rs.256 & the cost price of each chair will be Rs.176 .

    0
    2021-08-14T00:08:02+00:00

    Answer:

    chair cost=y,table=x

    y+80=x

    2x+3y=1040

    2y+160+3y=1040

    y=1040-160÷5

    y=176,x=256

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