A person gains Rs. 357 on selling a table at 13% gain and a chair at 6% gain. If he sells the table at 15% gain

and the chair 8% loss, he gains Rs. 203. What is the actual cost of the chair?

O Rs. 2400

1601

ORs. 2100

490

1498431160 20

1498431160 20

Rs. 2200

98

Rs. 1400

5343116

0843160

090437160

and the chair 8% loss, he gains Rs. 203. What is the actual cost of the chair?

O Rs. 2400

1601

ORs. 2100

490

1498431160 20

1498431160 20

Rs. 2200

98

Rs. 1400

5343116

0843160

090437160

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## Answers & Comments

Given:-Solution:-Let us assume that , the cost of table be

Rs.xand chair isRs.y.Case 1):- Table at 13% gain and chair at 6% gain .So,

→ Total gain = gain in table + gain in chair,

→ 357 = (13/100) of x + (6/100) of y

→ 357 = (13x/100) + (6y/100)

→ 357*100 = 13x + 6y

→ 13x + 6y = 35700 -------------

Eqn.(1)Case 2):- Table at 15% gain and chair at 8% loss.So,

→ Total gain = gain in table - loss in chair,

→ 203 = (15/100) of x - (8/100) of y

→ 203 = (15x/100) - (8y/100)

→ 203*100 = 15x - 8y

→ 15x - 8y = 20300 -------------

Eqn.(2)Multiplybyandbyand adding them,

Eqn.(1)4Eqn.(2)3→ 4(13x + 6y) + 3(15x - 8y) = 4*35700 + 3*20300

→ 52x + 24y + 45x - 24y = 142800 + 60900

→ 97x = 203700

dividing both sides by 97,

→ x =

Rs.2100.Putting value of x innow,

Eqn.(2)→ 15*2100 - 8y = 20300

→ 8y = 31500 - 20300

→ 8y = 11200

dividing both sides by 8,

→ y =

Rs.1400(Ans.).Hence,CostPriceofChairisRs.1400Learn more:-The cost price of 30 articles is equal to the

selling price of 25 articles. Find the loss or

gain percent.

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Find the loss or gain as percent, if the c. p. Of 8 articles a, all of the same kind, is equal to s. p of 10 articles

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