## 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 artic

Question

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.
The lenath​

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4 weeks 2021-08-17T22:26:02+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

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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)

weget

5x=2000

∴x=4000thereforecostofonetableisRs.400

Substitutingthevalueofxin(ii)weget

400−y=75

∴y=400−75=325

cost1chairisRs.325.