Profit and Loss
- A trader purchases a watch and a wall clock for $ 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earns a profit of $ 51.50. The difference between the original prices of the wall clock and the watch is equal to
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Given that , C.P. of a watch and a wall clock = $ 390.
If the C.P. of wrist watch be y, then
C.P. of wall clock = $ (390 – y)
From the question ,∴ y × 10 + (390 - y) × 15 = 51.50 100 100
⇒ 10y + 5850 – 15y = 5150
⇒ 5y = 5850 – 5150 = 700
Correct Option: C
Given that , C.P. of a watch and a wall clock = $ 390.
If the C.P. of wrist watch be y, then
C.P. of wall clock = $ (390 – y)
From the question ,∴ y × 10 + (390 - y) × 15 = 51.50 100 100
⇒ 10y + 5850 – 15y = 5150
⇒ 5y = 5850 – 5150 = 700⇒ y = 700 = $ 140 5
C.P. of wall clock = 390 – 140 = $ 250
∴ Required difference = 250 – 140 = $ 110
- A loss of 19% gets converted into a profit of 17% when the selling price is increased by $ 162. The cost price of the article is
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If the C.P. of article be y, then
According to question ,117y - 81y = 162 100 100 ⇒ 36y = 162 100
Correct Option: A
If the C.P. of article be y, then
According to question ,117y - 81y = 162 100 100 ⇒ 36y = 162 100 ⇒ y = 162 × 100 = $ 450 36
- Peter buys a table for $ 450 and spends $ 30 on its transportation. If he sells the table for $ 600 his gain per cent will be
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Given that , Actual cost price = 450 + 30 = $ 480
Selling price = $ 600
Gain = 600 - 480 = $ 120∴ Gain percent = Gain × 100 % Actual cost price
Correct Option: B
Given that , Actual cost price = 450 + 30 = $ 480
Selling price = $ 600
Gain = 600 - 480 = $ 120∴ Gain percent = Gain × 100 % Actual cost price Gain percent = 120 × 100 = 25% 480
- Dinesh bought two radios for $ 1,920. He sold one at a profit of 20% and the other at a loss of (50 / 3)% . If the selling price of both radios are same, the cost prices of the two radios are
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Let C.P. of radio sold on gain = x
C.P. of radio sold on loss = $ (1920 – x)
According to question ,∴ x × 120 
100 ⇒ x × 120 = (1920 - x) × 280 3
Correct Option: B
Let C.P. of radio sold on gain = x
C.P. of radio sold on loss = $ (1920 – x)
According to question ,∴ x × 120 100 ⇒ x × 120 = (1920 - x) × 280 3 ⇒ 3x = (1920 - x) × 7 3
⇒ 9x + 7x = 1920 × 7
⇒ 16x = 1920 × 7
⇒ x = $840
∴ C.P. of second radio = $ 1080
- A fruit seller makes a profit of 20% by selling mangoes at a certain price. If he charges $ 1 more for each mango, he can make a profit of 40%. Find the selling price of a mango in the first case.
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As per the given in question ,
∵ (40 – 20)% = $ 1
⇒ 20% = $ 1∴ 1% = 1 20
Correct Option: A
As per the given in question ,
∵ (40 – 20)% = $ 1
⇒ 20% = $ 1∴ 1% = 1 20 ∴ 120 % = 1 × 120 = $ 6 20
