Profit and Loss
- A man sold two watches for $ 240 each. On one he gains 20% and incurs a loss of 20% on another. What is his gain or loss percent in this transaction?
-
View Hint View Answer Discuss in Forum
Using the given formula ,
Here , y = 20%∴ Required loss% = y2 100
Correct Option: D
Using the given formula ,
Here , y = 20%∴ Required loss% = y2 100 Required loss % = (20)2 = 400 = 4% 100 100
- Two bicycles were sold for $ 3990 each, gaining 5% on one and losing 5% on other. The gain or loss percent on the whole transaction is :
-
View Hint View Answer Discuss in Forum
As we know that In such a situation, there is always a loss.The selling price is immaterial.
Here , y = 5%∴ Required loss% = y2 100
Correct Option: D
As we know that In such a situation, there is always a loss.The selling price is immaterial.
Here , y = 5%∴ Required loss% = y2 100 Required loss% = 52 = 0.25% 100
- A man bought two goats for $ 1008. He sold one at a loss of 20% and other at a profit of 44%. If each goat was sold for the same price, the cost price of the goat which was sold at loss, was :
-
View Hint View Answer Discuss in Forum
If p and q be the cost price of two goats, then,
From the question ,
80% of p = 144% of q⇒ p = 144 = 9 q 80 5
i.e., p : q = 9 : 5
Sum of the ratios = 9 + 5 = 14
Correct Option: A
If p and q be the cost price of two goats, then,
From the question ,
80% of p = 144% of q⇒ p = 144 = 9 q 80 5
i.e., p : q = 9 : 5
Sum of the ratios = 9 + 5 = 14∴ Cost of first goat = $ 
9 × 1008 
= $ 648 14
- A man had 100 kgs of sugar, part of which he sold at 7% profit and rest at 17% profit. He gained 10% on the whole. How much did he sell at 7% profit?
-
View Hint View Answer Discuss in Forum
Let the amount of sugar sold at 7% profit be y kg. and let C.P. per kg be $ 1.
According to question ,
Total C.P. = $ 100
Total S.P. = 107% of y + 117% of (100 – y )
Total S.P. = 1.07y + 1.17 (100 – y )
Total S.P. = 1.07y + 117 – 1.17y = 117 – 0.1y
∴ 117 – 0.1y = 110% of 100
⇒ 0.1y = 117 – 110 = 7Correct Option: D
Let the amount of sugar sold at 7% profit be y kg. and let C.P. per kg be $ 1.
According to question ,
Total C.P. = $ 100
Total S.P. = 107% of y + 117% of (100 – y )
Total S.P. = 1.07y + 1.17 (100 – y )
Total S.P. = 1.07y + 117 – 1.17y = 117 – 0.1y
∴ 117 – 0.1y = 110% of 100
⇒ 0.1y = 117 – 110 = 7⇒ y = 7 = 7 × 10 0.1
- A television and a refrigerator were sold for $ 12,000 each. If the television was sold at a loss of 20% of the cost and the refrigerator at a gain of 20% of the cost, the entire transaction resulted in
-
View Hint View Answer Discuss in Forum
Given , SP of Television = $ 12000
At 20% loss ,∴ CP of Television = 12,000 × 100 = $ 15000 80
and SP of refrigerator = $ 12000
At 20% gain ,∴ CP of refrigerator = 12,000 × 100 = $ 10,000 120
Correct Option: B
Given , SP of Television = $ 12000
At 20% loss ,∴ CP of Television = 12,000 × 100 = $ 15000 80
and SP of refrigerator = $ 12000
At 20% gain ,∴ CP of refrigerator = 12,000 × 100 = $ 10,000 120
Total C.P. = 15000 + 10,000 = $ 25000
SP of both = 24,000
∴ Loss = Total C.P. - Total SP = 25,000 – 24,000 = $ 1000
