Profit and Loss
- An article is sold at a profit of 20%. If it had been sold at a profit of 25%, it would have fetched $ 35 more. The cost price of the article is :
-
View Hint View Answer Discuss in Forum
Let the cost price be y.
From the question ,
∴ ( 100 + 25 )% of y – ( 100 + 20 )% of y = 35
⇒ 125% of y – 120% of y = 35
⇒ 5% of y = 35Correct Option: B
Let the cost price be y.
From the question ,
∴ ( 100 + 25 )% of y – ( 100 + 20 )% of y = 35
⇒ 125% of y – 120% of y = 35
⇒ 5% of y = 35∴ y = $ 35 × 100 = $ 700 5
Hence , The cost price of the article is $ 700 .
- A person sells an article for $ 75 and gains as much percent as the cost price of the article in rupees. The cost price of the article is
-
View Hint View Answer Discuss in Forum
Let the cost price be y
∴ Gain % = y%
∴ S.P. = C.P. + y% of C.P⇒ 75 = y + y2 100
⇒ y 2 + 100y – 7500 = 0
⇒ y2 + 150y – 50y – 7500 = 0
Correct Option: C
Let the cost price be y
∴ Gain % = y%
∴ S.P. = C.P. + y% of C.P⇒ 75 = y + y2 100
⇒ y 2 + 100y – 7500 = 0
⇒ y2 + 150y – 50y – 7500 = 0
⇒ y (y + 150) – 50 (y + 150) = 0
⇒ (y + 150) (y – 50) = 0
⇒ y = $ 50 [as y cannot be negative]
Therefore , The cost price of the article is $ 50 .
- A man bought a certain quantity of rice at the rate of $ 650 per quintal. 20% of the rice was spoiled. At what rate should he sell the remaining rice to gain 20% on the outlay?
-
View Hint View Answer Discuss in Forum
Let 10 quintals of rice be bought.
C.P. of rice = $ 650 per quintal
∴ Actual C.P. of 10 quintals of rice = 650 × 10 = $ 6500
On 20% gain ,∴ Required S.P = 6500 × 120 = $ 7800 100
If 20% of the rice was spoiled , then remaining quantity of rice = 10 - 2 = 8 quintals
Correct Option: D
Let 10 quintals of rice be bought.
C.P. of rice = $ 650 per quintal
∴ Actual C.P. of 10 quintals of rice = 650 × 10 = $ 6500
On 20% gain ,∴ Required S.P = 6500 × 120 = $ 7800 100
If 20% of the rice was spoiled , then remaining quantity of rice = 10 - 2 = 8 quintals∴ Rate of selling = 7800 = $ 975 8
- Joseph’s salary is reduced by 10%. In order to have his salary back to his original amount, it must be raised by
-
View Hint View Answer Discuss in Forum
As per the given question ,
Required percent increase = 10 × 100 % 100 - 10
Correct Option: B
As per the given question ,
Required percent increase = 10 × 100 % 100 - 10 Required percent increase = 10 × 100 = 11 1 % 90 9
- A person sells a table at a profit of 10%. If he had bought the table at 5% less cost and sold for $ 80 more, he would have gained 20%. The cost price of the table is
-
View Hint View Answer Discuss in Forum
Suppose CP of table be y .
SP at a profit of 10% = y × 110 = 11y 100 10 CP at 5% less = y × 95 = 19y 100 20
According to question ,19y × 120 = 11y + 80 20 100 10 ⇒ 57y - 11y = 80 50 10
Correct Option: C
Suppose CP of table be y .
SP at a profit of 10% = y × 110 = 11y 100 10 CP at 5% less = y × 95 = 19y 100 20
According to question ,19y × 120 = 11y + 80 20 100 10 ⇒ 57y - 11y = 80 50 10 ⇒ 2y = 80 50 ⇒ y = 80 × 50 = $ 2000 2
