PROFIT & LOSS - Education Point

Basic terms useful to solve the problem on profit & Loss

COST PRICE : The cost price of an article is the price at which the article is brought.

SELLING PRICE : The selling price of an article is the price at which the article is sold.

GAIN or PROFIT : If selling price of an article is more than its cost price there is gain

LOSS : If selling price of an article is less than its cost price, there is loss

Gain= Selling Price – Cost Price

Loss = Cost Price – Selling Price

Results

#1. A shopkeeper expects a gain of 22½ % on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Rs. 18.20

Rs. 70

Rs. 72

Rs. 88.25

A shopkeeper expects a gain of 22½ % on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

C.P = Rs. (100*392/122.50)

Rs. (1000*392/1225)

=Rs. 320

Profit = Rs. (392-320)

= Rs. 72

#2. I gain 70 paise on Rs. 70. My gain percent is :

0.1%

10%

I gain 70 paise on Rs. 70. My gain percent is :

Gain %= (0.70/70*100)%

=1%

#3. A man buys a cycle for Rs. 1400 and sells it at a loss of 15 % what is the selling price of the cycle

Rs. 1190

Rs.1160

Rs. 1202

None of these

A man buys a cycle for Rs. 1400 and sells it at a loss of 15 % what is the selling price of the cycle

S.P = 85% of Rs.1400

= Rs. ( 85*1400/100)

=Rs. 1190

#4. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg What will be his gain percent

6 ¼ %

4 ⅙ %

20 %

8 ⅓ %

A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg What will be his gain percent

C.P of 1 kg = Rs ( 420 / 70 )

=Rs. 6

S.P of 1 kg= Rs 6.50

gain % = (0.50/ 6*100)%

= 25/3 %

8 ⅓ %

#5. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs if he sells this scooter for Rs. 5800, his gain percent is :

4⁴⁄₇ %

5 ⁵⁄₁₁ %

10 %

12 %

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs if he sells this scooter for Rs. 5800, his gain percent is :

C.P = Rs (4700 800 )= Rs 5500

S.P. = Rs 5800

gain % = (300 / 5500*100 )%

= 5 ⁵⁄₁₁ %

#6. 100 oranges are bought at the rate of Rs . 350 and sold at the rate of Rs .48 per dozen . The percentage of profit or loss is :

14 ²⁄₇% gain

15 % gain

14 ²⁄₇% loss

15% loss

100 oranges are bought at the rate of Rs . 350 and sold at the rate of Rs .48 per dozen . The percentage of profit or loss is :

C.P of 1 orange = Rs (350 / 100 )

=Rs .3.50

S.P of 1 orange = Rs ( 48/12 )

=Rs . 4

gain % = ( 0.50 / 3.50*100 ) %

=100 / 75%

= 14 ²⁄₇% gain

#7. when a plot is sold for Rs. 18700 ,the owner loses 15% . At what price must the plot be sold in order to gain 15%?

Rs.21000

Rs. 22500

Rs. 25300

Rs. 25800

when a plot is sold for Rs. 18700 ,the owner loses 15% . At what price must the plot be sold in order to gain 15%?

85: 18700 = 115 : x

x = ( 18700 * 115 /85)

25300

S.P =Rs. 25300

#8. The ratio of the cost price and the selling price is 4:5 The profit percentage is :

10%

20%

25%

30%

The ratio of the cost price and the selling price is 4:5 The profit percentage is :

C.P = Rs. 4x

Then S.p =Rs 5x

gain =Rs. (5x-4x)=Rs. x

Gain % = (x/4x*100)%

=25%

#9. If selling price is doubled, the profit triples. Find the profit percent:

66⅔

100

105⅓

120

If selling price is doubled, the profit triples. Find the profit percent:

C.P. be Rs.x and S.P be Rs. y.

Then, 3(y-x)=(2y-x)

y=2x

profit=Rs.(y-x)

=Rs.(2x-x) =Rs. x

Profit%=(x/x*100)%=100%

#10. On selling 17 balls at Rs.72, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

Rs. 45

Rs. 50

Rs. 55

Rs.60

On selling 17 balls at Rs.72, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

(C.P of 17 balls)-(S.P. of 17 balls)=(C.P of 5 balls)

C.P. of 12 balls=S.P of 17 balls =Rs. 720

C.P. of 1 ball = Rs (720/12)

=Rs.60

#11. Some articles were bought at 6 for Rs . 5 and sold at 5 for Rs. 6 gain % is :

44%

35%

30%

45%

Some articles were bought at 6 for Rs . 5 and sold at 5 for Rs. 6 gain % is :

suppose number of article bought= L.C.M of 6 and 5 =30

C.P of 30 articles = Rs.( 5/6*30)

Rs. 25 S.P of 30 articles= Rs ( 5/6*30)

=Rs. 36

Gain % = (11/25/100)%

=44%

#12. A vendor bought toffees at 6 for a rupee. How many for a rupee must be sell gain 20% ?

A vendor bought toffees at 6 for a rupee. How many for a rupee must be sell gain 20% ?

C.P of 6 toffees =RS. 1 s.p of 6 toffees = 120% of Rs. 1 = Rs.6/5

For Rs. 6/5 toffees sold = 6

Rs. 1 toffees sold =(6*5/6)

#13. A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price . His profit is :

10%

12%

None of these

A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price . His profit is :

Gain%=(10/90*100)%

=11 1/9%

#14. A shopkeeper cheats to the extent of 10 % while buying as well as selling , by using false weights. His total gain is :

10%

11%

20%

21%

A shopkeeper cheats to the extent of 10 % while buying as well as selling , by using false weights. His total gain is :

Gain%= (100 common gain%)²-100

Gain%= [(100 10)²/100-100]%

(12100-10000/100)%

21%

#15. A fair price shopkeeper takes 10% profit on his goods. He lost 20 % goods during theft. His loss percent is :

A fair price shopkeeper takes 10% profit on his goods. He lost 20 % goods during theft. His loss percent is :

Suppose he has 100 items

C.P of each item be Rs 1

Total cost =Rs 100

number of items left after theft= 80

S.P of each item= Rs.1.10

Total sale =Rs (1.10*80)= 88

loss% =(12/100*100)

=12%

#16. A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles?

Rs. 11

Rs. 22

Rs. 33

Rs. 44

A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles?

S.P of each article= Rs(37.40/2)

=Rs 18.70

Market price be Rs x

85% of x =18.70

x-(18.70*100/85)

=22

#17. Successive discounts of 10 % 12% and 15% amount to a single discount of:

32.68%

35.28%

36.68%

None of these

#18. The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%

37.5%

48%

50.5%

52%

The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%

Marked price= Rs. 100

C.P = RS 64 S.P =Rs 68

Gain%=(24/648100)%

=37.5%

#19. A product when sold with 10% rebate on the listed price gave a profit of Rs 70. What was its cost price?

Rs. 200

Rs. 350

Rs. 700

Cannot be determined

#20. If the cost price is 96% of the selling price, then what is the profit percent?

3.17

4.17

None of these

If the cost price is 96% of the selling price, then what is the profit percent?

S.P =Rs. 100

C.P.= Rs 96

profit=Rs.4

Profit%=(4/96*100)%

25/6%

4.17%

Finish

Results

#1. A shopkeeper expects a gain of 22½ % on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

#2. I gain 70 paise on Rs. 70. My gain percent is :

#3. A man buys a cycle for Rs. 1400 and sells it at a loss of 15 % what is the selling price of the cycle

#4. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg What will be his gain percent

#5. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs if he sells this scooter for Rs. 5800, his gain percent is :

#6. 100 oranges are bought at the rate of Rs . 350 and sold at the rate of Rs .48 per dozen . The percentage of profit or loss is :

#7. when a plot is sold for Rs. 18700 ,the owner loses 15% . At what price must the plot be sold in order to gain 15%?

#8. The ratio of the cost price and the selling price is 4:5 The profit percentage is :

#9. If selling price is doubled, the profit triples. Find the profit percent:

#10. On selling 17 balls at Rs.72, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

#11. Some articles were bought at 6 for Rs . 5 and sold at 5 for Rs. 6 gain % is :

#12. A vendor bought toffees at 6 for a rupee. How many for a rupee must be sell gain 20% ?

#13. A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price . His profit is :

#14. A shopkeeper cheats to the extent of 10 % while buying as well as selling , by using false weights. His total gain is :

#15. A fair price shopkeeper takes 10% profit on his goods. He lost 20 % goods during theft. His loss percent is :

#16. A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles?

#17. Successive discounts of 10 % 12% and 15% amount to a single discount of:

#18. The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%

#19. A product when sold with 10% rebate on the listed price gave a profit of Rs 70. What was its cost price?

#20. If the cost price is 96% of the selling price, then what is the profit percent?

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