CALCULATORS for Rs. 990 each. On one calculator he gained 10% and on the other he lost 10%.Concept used :SP = CP × (100 + P%)/100SP = CP × (100 – L%)/100Short TrickWhen 2 articles are sold at same price one at R% profit and another at R% loss, there is always loss of (R2/100)%Loss % = (R2/100)⇒ (102/100)⇒ 100/100⇒ 1%∴ Total loss in this transaction is 1%.Detailed Method:LET CP of A be A and CP of B is B.SP of A = A × (100 + 10)/100⇒ 1.1A⇒ 1.1A = 990⇒ A = Rs. 900SP of B = B × (100 – 10)/100⇒ 0.9B⇒ 0.9B = 990⇒ B = Rs. 1100⇒ Total CP = A + B⇒ 900 + 1100 = Rs. 2000Profit/Loss = Total SP – Total CP⇒ 1980 – 2000⇒ - 20∵ ‘-‘ sign denotes loss in the transaction.⇒ Loss = Rs. 20Loss % = (Loss/CP) × 100⇒ (20/2000) × 100⇒ 1%∴ The total loss in this transaction is 1%.

"> CALCULATORS for Rs. 990 each. On one calculator he gained 10% and on the other he lost 10%.Concept used :SP = CP × (100 + P%)/100SP = CP × (100 – L%)/100Short TrickWhen 2 articles are sold at same price one at R% profit and another at R% loss, there is always loss of (R2/100)%Loss % = (R2/100)⇒ (102/100)⇒ 100/100⇒ 1%∴ Total loss in this transaction is 1%.Detailed Method:LET CP of A be A and CP of B is B.SP of A = A × (100 + 10)/100⇒ 1.1A⇒ 1.1A = 990⇒ A = Rs. 900SP of B = B × (100 – 10)/100⇒ 0.9B⇒ 0.9B = 990⇒ B = Rs. 1100⇒ Total CP = A + B⇒ 900 + 1100 = Rs. 2000Profit/Loss = Total SP – Total CP⇒ 1980 – 2000⇒ - 20∵ ‘-‘ sign denotes loss in the transaction.⇒ Loss = Rs. 20Loss % = (Loss/CP) × 100⇒ (20/2000) × 100⇒ 1%∴ The total loss in this transaction is 1%.

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Raj Kumar sold 2 calculators for Rs. 990 each. On one calculator he gained 10% and on the other he lost 10%. Find his gain or loss in the transaction.

Arithmetic Ability Profit And Loss in Arithmetic Ability 9 months ago

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Given:Raj Kumar sold 2 CALCULATORS for Rs. 990 each. On one calculator he gained 10% and on the other he lost 10%.Concept used :SP = CP × (100 + P%)/100SP = CP × (100 – L%)/100Short TrickWhen 2 articles are sold at same price one at R% profit and another at R% loss, there is always loss of (R2/100)%Loss % = (R2/100)⇒ (102/100)⇒ 100/100⇒ 1%∴ Total loss in this transaction is 1%.Detailed Method:LET CP of A be A and CP of B is B.SP of A = A × (100 + 10)/100⇒ 1.1A⇒ 1.1A = 990⇒ A = Rs. 900SP of B = B × (100 – 10)/100⇒ 0.9B⇒ 0.9B = 990⇒ B = Rs. 1100⇒ Total CP = A + B⇒ 900 + 1100 = Rs. 2000Profit/Loss = Total SP – Total CP⇒ 1980 – 2000⇒ - 20∵ ‘-‘ sign denotes loss in the transaction.⇒ Loss = Rs. 20Loss % = (Loss/CP) × 100⇒ (20/2000) × 100⇒ 1%∴ The total loss in this transaction is 1%.

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