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615.) Jamila sold a table and a chair for 1050,thereby making a profit of 10% on the tableand 25% on the chair. If she had taken aprofit of 25 % on the table and 10% on thechair, she would have got 1065. Find thecost price of each. |
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Answer» let cost of table=100x cost of chair=100y110x+125y=105022x+25y=210---(1)125x+110y=106525x+22y=213---(2)22x+25y=210---(2)by adding 47x+47y=42347(x+y)=423x+y=9---(3)25x+22y=21322x+25y=210by substrating3x-3y=3x-y=1---(4)x+y=9--+(3)by adding 2x=10x=5putting the value of x in eq 3x+y=9y=9-5=4cost of table= 500cost of chair=400 Let the cost price of the table be Rs x and the cost price of the chair be Rs y.The selling price of the table, when it is sold at a profit of 10% = Rs x + 10x/100 = 110x / 100 The selling price of the chair when it is sold at a profit of 25% = Rs y + 25y/100 = 125y / 100 So, 110x / 100 + 125y / 100 = 1050 ... (1) When the table is sold at a profit of 25%, its selling price = Rs (x + 25x/100) = Rs 125x / 100 When the chair is sold at a profit of 10%, its selling price = Rs (y + 10y/100) = Rs 110y / 100 So, 125x / 100 + 110y / 100 = 1065 ... (2) Solve (1) and (2), to get x = 500 and y = 400 Hence. the cost price of the table is Rs 500 and the cost price of the chair is Rs 400. cost of table is 500 ; cost of the chair is 400 |
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