Profit and Loss
- 5% more is gained by selling a watch for Rs. 350 than by selling it for Rs. 340. The cost price of the watch is
-
View Hint View Answer Discuss in Forum
Let C.P. of watch = Rs. y
Difference between selling prices = Rs. (350 – 340) = Rs. 10
According to the question,
5% of y = 10⇒ 5y = 10 100
Correct Option: C
Let C.P. of watch = Rs. y
Difference between selling prices = Rs. (350 – 340) = Rs. 10
According to the question,
5% of y = 10⇒ 5y = 10 100
⇒ 5y = 1000⇒ y = 1000 = Rs. 200 5
Hence , C.P. of watch is Rs. 200 .
- A T.V was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs. 1000 more. What is its cost price?
-
View Hint View Answer Discuss in Forum
Let the C.P. of television be Rs. y.
According to the question,
(10 – 5)% of y = 1000
⇒ 5% × y = 1000⇒ y = 5 = 1000 100
Correct Option: A
Let the C.P. of television be Rs. y.
According to the question,
(10 – 5)% of y = 1000
⇒ 5% × y = 1000⇒ y = 5 = 1000 100 ⇒ y = 1000 × 100 = Rs. 20000 5
- Sandeep sells an article at a loss of 10%. Had he bought it at 20% less and sold it for Rs. 55 more, he could have gained 40%. What is the cost price of the article?
-
View Hint View Answer Discuss in Forum
Case I :
Suppose C.P. of article = Rs. y
At 10% loss ,First S.P. = Rs. 9y 10
Case II :
At 20% less ,C.P. = 80y = Rs. 4y 100 5
According to the question,4y × 140 - 9x = 55 5 100 10 ⇒ 56x - 9y = 55 50 10
Correct Option: C
Case I :
Suppose C.P. of article = Rs. y
At 10% loss ,First S.P. = Rs. 9y 10
Case II :
At 20% less ,C.P. = 80y = Rs. 4y 100 5
According to the question,4y × 140 - 9x = 55 5 100 10 ⇒ 56x - 9y = 55 50 10 ⇒ 56y - 45y = 55 50
⇒ 11y = 50 × 55⇒ y = 50 × 55 = Rs. 250 11
- A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss?
-
View Hint View Answer Discuss in Forum
Given that , C.P. of two articles = Rs. 520
Suppose C.P. of article sold at loss = Rs. y.
∴ C.P. of article sold at profit = Rs. (520 – y)
According to the question,y × 10 = (520 – y) × 16 100 100
⇒ 5y = 520 × 8 – 8y
⇒ 13y = 520 × 8⇒ y = 520 × 8 = Rs. 320 13
Correct Option: A
Given that , C.P. of two articles = Rs. 520
Suppose C.P. of article sold at loss = Rs. y.
∴ C.P. of article sold at profit = Rs. (520 – y)
According to the question,y × 10 = (520 – y) × 16 100 100
⇒ 5y = 520 × 8 – 8y
⇒ 13y = 520 × 8⇒ y = 520 × 8 = Rs. 320 13
On 10% loss ,∴ Its S.P. = 320 × 90 = Rs. 288 100
- A shopkeeper sold an article at a loss of 20%. But if he could sell it at Rs. 200 more, he could earn a profit of 5%. The cost price of the article is
-
View Hint View Answer Discuss in Forum
Let the C.P. of article be Rs. y.
According to the question,y × 105 - y × 80 = 200 100 100
⇒ 105y – 80y = 20000
⇒ 25y = 20000⇒ y = 20000 = Rs. 800 25
Using the given formula :
Here, a = 20%, R = 200, b = 5%C.P. = R × 100 b + a
Correct Option: A
Let the C.P. of article be Rs. y.
According to the question,y × 105 - y × 80 = 200 100 100
⇒ 105y – 80y = 20000
⇒ 25y = 20000⇒ y = 20000 = Rs. 800 25
Using the given formula :
Here, a = 20%, R = 200, b = 5%C.P. = R × 100 b + a C.P. = 100 × 200 20 + 5 C.P. = 100 × 200 = Rs. 800 25
