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If a man sells the chair at 7% loss and table at 17% profit then he earns 296 as total profit but he sells the chair at 7% and table at 12% profit then he earns 400 as total profit. find the cost of table . |
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Answer» Answer: Rs. 2400 Step-by-step explanation: Answer:- Let the CP of chair be Rs. x and CP of table be Rs. y. Given: Case - 1 :- Loss % on chair = 7 % PROFIT% on table = 17 % Total profit = Rs. 296 We know that, SP = (100 - loss% / 100) * CP. So, SP (chair) = (100 - 7/100) * x ⟶ SP (chair) = 93x/100 SP = (100 + profit% / 100) * CP ⟶ SP (table) = (100 + 17 / 100) *y ⟶ SP (table) = 117y/100 We know, Profit = SP - CP So, 296 = SP of chair + SP of table - CP of chair - CP of table. ⟶ 296 = (93x/100) + (117y/100) - x - y ⟶ 296 = (93x + 117y - 100x - 100Y)/100 ⟶ 29600 = 17y - 7x -- equation (1) Case - 2 :- Profit % on chair = 7 % ⟶ SP (chair) = (100 + 7 / 100) * x ⟶ SP (chair) = 107x/100 Profit% on table = 12 % ⟶ SP (table) = (100 + 12 / 100) * y ⟶ SP (table) = 112y/100 Now, Total Profit = 400 So , ⟶ 400 = (107x/100) + (112y/100) - x - y ⟶ 400 = ( 107x + 112y - 100x - 100y)/100 ⟶ 40000 = 7x + 12y -- equation (2) ADD equations (1) & (2). ⟶ 17y - 7x + 7x + 12y = 29600 + 40000 ⟶ 29Y = 69600 ⟶ y = 69600/29 ⟶ y = Rs. 2400 ∴ CP of table is Rs. 2400.Answer:- Let the CP of chair be Rs. x and CP of table be Rs. y. Given: Case - 1 :- Loss % on chair = 7 % Profit% on table = 17 % Total profit = Rs. 296 We know that, SP = (100 - loss% / 100) * CP. So, SP (chair) = (100 - 7/100) * x ⟶ SP (chair) = 93x/100 SP = (100 + profit% / 100) * CP ⟶ SP (table) = (100 + 17 / 100) *y ⟶ SP (table) = 117y/100 We know, Profit = SP - CP So, 296 = SP of chair + SP of table - CP of chair - CP of table. ⟶ 296 = (93x/100) + (117y/100) - x - y ⟶ 296 = (93x + 117y - 100x - 100y)/100 ⟶ 29600 = 17y - 7x -- equation (1) Case - 2 :- Profit % on chair = 7 % ⟶ SP (chair) = (100 + 7 / 100) * x ⟶ SP (chair) = 107x/100 Profit% on table = 12 % ⟶ SP (table) = (100 + 12 / 100) * y ⟶ SP (table) = 112y/100 Now, Total Profit = 400 So , ⟶ 400 = (107x/100) + (112y/100) - x - y ⟶ 400 = ( 107x + 112y - 100x - 100y)/100 ⟶ 40000 = 7x + 12y -- equation (2) Add equations (1) & (2). ⟶ 17y - 7x + 7x + 12y = 29600 + 40000 ⟶ 29y = 69600 ⟶ y = 69600/29 ⟶ y = Rs. 2400 ∴ CP of table is Rs. 2400. Hope it helps :) |
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