Profit and Loss
- A shopkeeper blends two varieties of tea costing $ 18 and $ 13 per 100 gm in the ratio 7 : 3. He sells the blended variety at the rate of $ 18.15 per 100 gm. His percentage gain in the transaction is
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Here , Ratio of two varieties of tea = 7 : 3
As per the given in question ,
C.P. of 700 gm of tea at $ 18 per 100 gm = 7 × 18 = $ 126
C.P. of 300 gm of tea at $ 13 per 100 gm = 3 × 13 = $ 39
Total cost of 1000 gm = 126 + 39 = $ 165
Total S.P. of 1000 gm = 18.15 × 10= $ 181.5
Gain = Total S.P. of 1000 gm - Total C.P. of 1000 gmCorrect Option: A
Here , Ratio of two varieties of tea = 7 : 3
As per the given in question ,
C.P. of 700 gm of tea at $ 18 per 100 gm = 7 × 18 = $ 126
C.P. of 300 gm of tea at $ 13 per 100 gm = 3 × 13 = $ 39
Total cost of 1000 gm = 126 + 39 = $ 165
Total S.P. of 1000 gm = 18.15 × 10= $ 181.5
Gain = Total S.P. of 1000 gm - Total C.P. of 1000 gm
Gain = 181.5 – 165 = $ 16.5Gain percent = 16.5 × 100 = 10% 165
- A fruit seller buys some apples at the rate of 4 for $ 10 and an equal number more at 5 for $ 10. He sells the whole lot at 9 for $ 20. What is his loss or gain percent?
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∵ LCM of 4 and 5 = 20
Let 20 apples of each type be bought.
C.P. at the rate of 4 apples = $ 10C.P. of an apple of first type = $ 10 4
C.P. at the rate of 5 apples = $ 10C.P. of an apple of second type = $ 10 5 C.P. of 40 apples = $ 
20 × 10 + 20 × 10 
= $ 90 4 5 Total S.P. = 40 × 20 = $ 800 9 9
Correct Option: A
∵ LCM of 4 and 5 = 20
Let 20 apples of each type be bought.
C.P. at the rate of 4 apples = $ 10C.P. of an apple of first type = $ 10 4
C.P. at the rate of 5 apples = $ 10C.P. of an apple of second type = $ 10 5 C.P. of 40 apples = $ 20 × 10 + 20 × 10 = $ 90 4 5 Total S.P. = 40 × 20 = $ 800 9 9
Loss = C.P. of 40 apples - S.P. of 40 applesLoss = 90 - 800 = 10 9 9 
Loss percent = 100 = 1 19 % 81 81
- 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
