A man sold a chair and table for ₹12000 gaining 10% on chair and 15% on table. Had he sold the for 11625, the profit would've interchanged. Find the C.P.
I want to see how can we find it by adding and subtracting the coefficients. no copy paste
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⇒ Let the cost of chair be x and cost of table be y.
⇒ As per the question,
⇒ x+
100
25x
+y+
100
10y
=1520
⇒ 125x+110y=152000
⇒ 25x+22y=30400 ------ ( 1 )
⇒ And also from the question, we get
⇒ x+
100
10x
+y+
100
25y
=1535
⇒ 110x+125y=153500
⇒ 22y+25y=30700 ------ ( 2 )
⇒ Now, Multiply equation ( 1 ) with 22 and equation ( 2 ) with 25 we get,
⇒ 550x+484y=668800 ----- ( 3 )
⇒ 550x+625y=767500 ------ ( 4 )
⇒ Now, subtracting equation ( 2 ) by ( 1 ) we get,
⇒ y=700
⇒ Substituting value of y in equation ( 1 ) we get,
⇒ x=600
∴ Cost price of chair is Rs.600 and cost price of table is Rs.700.
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