Profit and Loss
- Some toffees were bought at the rate of 11 for $ 10 and the same number at the rate of 9 for $ 10. If the whole lot was sold at one rupee per toffee, then the gain or loss in the whole transaction was
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For the sake of convenience, Let the number of toffees of each type bought be 99 (LCM of 11 and 9 = 99 ).
CP of first kind of 99 toffees = $ 90
CP of second kind of 99 toffees = $ 110
∴ CP of 198 toffees = $ 200
∴ SP of 198 toffees = $ 198
Loss = 200 - 198 = $ 2Correct Option: A
For the sake of convenience, Let the number of toffees of each type bought be 99 (LCM of 11 and 9 = 99 ).
CP of first kind of 99 toffees = $ 90
CP of second kind of 99 toffees = $ 110
∴ CP of 198 toffees = $ 200
∴ SP of 198 toffees = $ 198
Loss = 200 - 198 = $ 2Loss % = 2 × 100 = 1% 200
- A shopkeeper purchased a TV for $ 2,000 and a radio for $ 750. He sells the TV at a profit of 20% and the radio at a loss of 5%. The total loss or gain is
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Given , C.P. of TV = $ 2000
∴ S.P. of TV = 2000 × 120 = $ 2400 100
C.P. of radio = $ 750∴ S.P. of radio = 750 × 95 = $ 712.5 100
Correct Option: B
Given , C.P. of TV = $ 2000
∴ S.P. of TV = 2000 × 120 = $ 2400 100
C.P. of radio = $ 750∴ S.P. of radio = 750 × 95 = $ 712.5 100
Total S.P. = 2400 + 712.5 = $ 3112.50
Total C.P. = 2000 + 750 = $ 2750
∴ Gain = Total S.P. - Total C.P. = 3112.5 – 2750 = $ 362.50
- A man purchases two fans for $ 2,160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor loses in the whole transaction. Find the cost price of each fan in $.
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Let the C.P. of fans be $ p and $ q respectively.
As per the given in question,∴ p × 15 = q × 9 100 100 ⇒ p = 9 = 3 q 15 5
Sum of ratios = 3 + 5 = 8C.P. of first fan = 3 × 2160 = $ 810 8
Correct Option: C
Let the C.P. of fans be $ p and $ q respectively.
As per the given in question,∴ p × 15 = q × 9 100 100 ⇒ p = 9 = 3 q 15 5
Sum of ratios = 3 + 5 = 8C.P. of first fan = 3 × 2160 = $ 810 8 & C.P. of second fan = 5 × 2160 = $ 1350 8
- A man sells two chairs at $ 120 each and by doing so gains 25% on one chair and loses 25% on the other. His loss on the whole in $ is
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Given in question , SP of each chair = $ 120
On 25% gain ,C.P. of first chair = 100 × 120 = $ 96 125
On 25% loss ,C.P. of second chair = 100 × 120 = $ 160 75
Correct Option: B
Given in question , SP of each chair = $ 120
On 25% gain ,C.P. of first chair = 100 × 120 = $ 96 125
On 25% loss ,C.P. of second chair = 100 × 120 = $ 160 75
Total CP of chairs = 160 + 96 = $ 256
∴ Loss = Total CP - Total SP = 256 – 240 = $ 16
- A cloth merchant sold half of his cloth at 40% profit, half of remaining at 40% loss and the rest was sold at the cost price. In the total transaction, his gain or loss will be
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Let the merchant bought 100 metres of cloth for $ 100.
∴ Total S.P. = $ 50 × 140 + 25 × 60 + 25 100 6
Correct Option: C
Let the merchant bought 100 metres of cloth for $ 100.
∴ Total S.P. = $ 50 × 140 + 25 × 60 + 25 100 6
Total S.P. = $ (70 + 15 + 25) = $ 110
Gain = Total S.P. - Total C.P. = 110 - 100 = $ 10∴ Gain percent = 10 × 100 = 10% 100