Profit and Loss
- Nita blends two varieties of tea— one costing $ 180 per kg and another costing $ 200 per kg in the ratio 5 : 3. If she sells the blended variety at $ 210 per kg, then her gain percent is
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From the question , Total C.P. of two varieties of tea = 180 × 5 + 200 × 3 = $ 1500
Total S.P. of two varieties of tea = 210 × (5 + 3) = 210 × 8 = $ 1680
Gain = S.P. - C.P. = 1680 - 1500 = $ 180Gain percent = Gain × 100 Total C.P. of two varieties of tea
Correct Option: C
From the question , Total C.P. of two varieties of tea = 180 × 5 + 200 × 3 = $ 1500
Total S.P. of two varieties of tea = 210 × (5 + 3) = 210 × 8 = $ 1680
Gain = S.P. - C.P. = 1680 - 1500 = $ 180Gain percent = Gain × 100 Total C.P. of two varieties of tea Gain percent = 180 × 100 1500 Gain percent = 180 × 100 = 12% 1500
- The prices of a refrigerator and a television set are in the ratio 5 : 3. If the refrigerator costs $ 5500 more than the television set, then the price of the refrigerator is:
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Given that , Ratio of prices of refrigerator and a television set = 5 : 3
CP of refrigerator = $ 5k
CP of television = $ 3k
∴ 2k = 5500⇒ k = 5500 = 2750 2
Correct Option: C
Given that , Ratio of prices of refrigerator and a television set = 5 : 3
CP of refrigerator = $ 5k
CP of television = $ 3k
∴ 2k = 5500⇒ k = 5500 = 2750 2
∴ CP of refrigerator = 5 × 2750 = $ 13750
- A milkman makes 20% profit by selling milk mixed with water at $ 9 per litre. If the cost price of 1 litre pure milk is $ 10, then the ratio of milk and water in the said mixture is
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Let Milk : Water = K : 1
∴ S.P. = (K + 1) × 9
Cost price of 1 litre pure milk is $ 10 i.e.
C.P. = 10K
Gain = S.P. - C.P. = 9K + 9 - 10k = 9 – KGain % = 9 - K × 100 10K
Correct Option: A
Let Milk : Water = K : 1
∴ S.P. = (K + 1) × 9
Cost price of 1 litre pure milk is $ 10 i.e.
C.P. = 10K
Gain = S.P. - C.P. = 9K + 9 - 10k = 9 – KGain % = 9 - K × 100 10K ⇒ 9 - K × 100 = 20 10K
⇒ 90 – 10K = 20K
⇒ 30K = 90
⇒ K = 3
∴ Ratio = 3 : 1
- The cash difference between selling prices of an article at a profit of 4% and 6% is $ 3. The ratio of the two selling prices is
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Let the C.P. be y.
∴ (6 – 4)% of y = 3
⇒ 2% of y = 3⇒ y = 300 = 150 2 ∴ S.P. at 4% gain = 150 × 104 = $ 156 100
Correct Option: B
Let the C.P. be y.
∴ (6 – 4)% of y = 3
⇒ 2% of y = 3⇒ y = 300 = 150 2 ∴ S.P. at 4% gain = 150 × 104 = $ 156 100 and S.P. at 6% gain = 150 × 106 = $ 159 100
∴ The required ratio = 156 : 159 = 52 : 53
- The ratio of the C.P. and S.P. of an article is 20 : 21. What is the gain percent?
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Here , The ratio of the C.P. and S.P. of an article = 20 : 21
Let the C.P. and S.P. of an article are 20k and 21k .
Gain = 21k - 20k = kGain% = k × 100 20k
Correct Option: A
Here , The ratio of the C.P. and S.P. of an article = 20 : 21
Let the C.P. and S.P. of an article are 20k and 21k .
Gain = 21k - 20k = kGain% = k × 100 20k Gain% = 1 × 100 = 5% 20
