The total cost of 3 tables and 2 chairs is *1850. If a table costs 75 more than a chair, fl
the price of each.
A man sold an article for 495 and gained 10% on it. Find the cost price of the article.
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Step-by-step explanation:
Thecostof1tableisx
∴costof3tablesare3x
put,
Thecostof1chairisy
∴costof2chairsare2y
accordingtothequestion
totalcostof3tablesand2chairsare1850
∴3x+2y=1850→(i)
x=75+y→(ii)
sinceinquestionitisgiven
thatcostoftableis75morethanchairs
(i)and(ii)
3x+2y=1850→(i)
x−y=75→(ii)
multiplyingequation(2)by(2)
weget
2x−2y=150→(iii)
add(i)and(iii)
weget
5x=2000
∴x=4000thereforecostofonetableisRs.400
Substitutingthevalueofxin(ii)weget
400−y=75
∴y=400−75=325
cost1chairisRs.325.
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