Numerical

Ability
Hello!

I am A.J. ARAVINTH
I am here teach you numerical ability
Today's topic is

Profit and loss

Learning Objective:
➔ Knowing the basics of all aptitude topics
➔ Understanding the difference between the options
➔ Approaches to find the answer
➔ Types of sufficiency questions
Profit and loss:
Formula
Discount:

➔ Discount = Marked Price - Selling Price

➔ Discount (%) = (Discount/Marked Price) × 100
➔ The formula for Successive Discount:
➔ If two successive discounts of a% and b% are offered then the net
discount offered is
Type 1: To find Profit/Loss or Selling Price/Cost Price.
Type 1: To find Profit/Loss or Selling Price/Cost Price

1) A man buys a cycle for 1400 and sells it at a loss of 15%. What is the selling
price of the cycle?

(1) 1202

(2) 1190

(3) 1160

(4) 1000
Type 1: To find Profit/Loss or Selling Price/Cost Price

2) On selling an article for 651,there is a loss of 7%. The cost price of that
article is

(1) 744

(2) 751

(3) 793

(4) 700
Type 1: To find Profit/Loss or Selling Price/Cost Price

3) A milkman bought 70 litres of milk for 630 and added 5 litres of water. If he
sells it at 9.00 per litre, his profit percentage is

(1) 2 ⅓%
(2) 7 ¼%
(3) 7%
(4) 5 ⅕%
Type 1: To find Profit/Loss or Selling Price/Cost Price

4) A man bought an old typewriter for 1200 and spent 200 on its repair. He
sold it for 1680. His profit per cent is :

(1) 20%

(2) 10%

(3) 8%

(4) 16%
Type 1: To find Profit/Loss or Selling Price/Cost Price

5) A merchant buys an article for 27 and sells it at a profit of 10% of the selling
price. The selling price of the article is :

(1) 29.70

(2) 30

(3) 37

(4) 32
Type 1: To find Profit/Loss or Selling Price/Cost Price

6) By selling an article, a man makes a profit of 25% of its selling price.

His profit per cent is

(1) 20%

(2) 25%

(3) 16 ⅔ %

(4) 33 ⅓%
Type 1: To find Profit/Loss or Selling Price/Cost Price

7) The CP of 12 apples is same as SP of 11 apples, what is the P/L%

(1) 9.09% profit

(2) 11.00%profit

(3) 9.09% loss

(4) 33 ⅓% loss
Type 1: To find Profit/Loss or Selling Price/Cost Price

8) The profit that a person makes on Selling of 12 apples is equal to cost of 3

apples, what is L%?
(1) 20%
(2) 25%
(3) 15%
(4) 33 ⅓%
Type 1: To find Profit/Loss or Selling Price/Cost Price

9) The Loss that a person makes on Selling of 20 apples is equal to cost of 3

apples, what is P%?
(1) 20%
(2) 25%
(3) 15%
(4) 33 ⅓%
Type 1: To find Profit/Loss or Selling Price/Cost Price

10) By selling 33 metres of cloth a person gains the cost price of 11 metres.
Find his gain%
Type 1: To find Profit/Loss or Selling Price/Cost Price

10) By selling 33 metres of cloth a person gains the cost price of 11 metres.
Find his gain%
(1) 20%
(2) 25%
(3) 15%
(4) 33 ⅓%
Type 1: To find Profit/Loss or Selling Price/Cost Price

11) Some apples are bought at 4 per rupee and an equal quantity at 6 per
rupee and then all are sold at 5 per rupee.What is the gain/loss percent?
(1) 20% profit
(2) 04% profit
(3) 20% loss
(4) 04% loss
Type 1: To find Profit/Loss or Selling Price/Cost Price

12) Some apples are bought at 5 per rupee.Then an equal amount was spent at
buying a second variety at 7 per rupee.They are mixed and sold at 17 per 3
rupees.What is the gain/loss percent?
(1) 5.88% profit
(2) 6% profit
(3) 6% loss
(4) 5.88% loss
Type 1: To find Profit/Loss or Selling Price/Cost Price

13) Some apples are bought at the rate of 8 pieces per 13 rupees.All of them are
sold at the rate of 6 pieces per 11 rupees.What is the gain/loss percent?
(1) 5.88% profit
(2) 12.82% profit
(3) 12.82% loss
(4) 5.88% loss
Model 2: Same SP for two articles
Same SP for two articles
1) A man purchased two plots for Rs. 5,00,000. On one he gains 15 % while on
the other he losses 15%. Find how much does he gain or lose in the
transaction.

a. 1.5 %

b. 2 %

c. 2.25 %

d. 2.50 %
Same SP for two articles
2) A man purchased two box for Rs. 600 each. On selling 1st he gains 20%
while on the other he gais 30%. Find how much does he gain or lose in the
transaction.

a. 21.5 %

b. 24.8%

c. 22.25 %

d. 22.5 %
Same SP for two articles
3) A person bought a horse and a carriage for Rs. 20,000. Later, he sold the
horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the
whole transaction. The cost price of the horse was?

a. 8000

b. 6000

c. 12000

d. 14000
MODEL 3: Dishonest shopkeeper
Dishonest shopkeeper
1) A shopkeeper sells his goods at cost price but uses a weight of 970 grams
for a kg. weight. What is his gain percent?

a. 5.08 %

b. 4.23 %

c. 3.26 %

d. 3.09 %
Dishonest shopkeeper
2) A dishonest shopkeeper sells his grocery using weights 10 % less than true
weights and makes a profit of 30 %. Find his total gain percentage.

a. 49.4 %

b. 44.44 %

c. 55.55 %

d. 39.88 %
Dishonest shopkeeper
3) A shopkeeper purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs
were broken on the way. In order to make a gain of 20%, he must sell the
remaining eggs at the rate of
(1) Rs. 22.50 per dozen

(2) Rs. 25.50 per dozen

(3) Rs. 26 per dozen

(4) Rs. 26.50 per dozen

MODEL 4: Successive discounts/profit
Successive discounts/profit
1) Find the single discount equivalent to a series discount of 30 %, 20 % and
10 %.

a. 48.3 %

b. 49.6 %

c. 38.21 %

d. 33.33 %
Successive discounts/profit
2) A trader allows 15% trade discount and 10% cash discount. The selling price
of an article, if its marked price is Rs.400, is

A). Rs.300

B). Rs.325

C). Rs.31

D). Rs.306
Successive discounts/profit
3)After two successive discounts, a tie with a list price of Rs. 120 is available at
Rs. 90. If second discount is 9 %, what is the first discount?

a. 15.23 %

b. 13.26 %

c. 17.58 %

d. 18.53 %
Successive discounts/profit
4)A dealer marks price of all the goods at 30 % above the cost price and
assumes that he will make a profit of 15 % if he offers a discount of 15%. Find
what will be his actual profit on sales?

a. 15 %

b. 30 %

c. 12.50 %

d. 10.50 %
Model 5: Miscellaneous
Miscellaneous
1).A dealer sold 3/4 of his articles at a gain of 20% and the remaining at cost
price. The gain per cent earned by him in the whole transaction is

A). 13

B). 14

C). 15

D). 16
Miscellaneous
2).A man sells an article at a profit of 30%. If he had bought it at 20% less and
sold it for Rs,25 more , he would have gained 75%. Find the cost price (in
rupees) of the article.

A. 50

B. 20

C. 25

D. 35
Miscellaneous
3).Mahesh purchased a radio at 9/10 of its selling price and sold it at 8% more
than its original selling price. His gain percent is:

A). 20%

B). 18%

C). 10%

D). 8%
Miscellaneous
4).The difference between the selling price of an article at a profit of 15% and
at a profit of 10%' is Rs. 10. The cost price of the article is

A). Rs. 100

B). Rs. 120

C). Rs. 150

D). Rs. 200

Miscellaneous
5).The difference between the selling price and cost price of an article is Rs.
210. If the profit percent is 25, then the selling price of the article is

A). Rs. 950

B). Rs. 1,050

C). Rs. 1,150

D). Rs. 1,250

Miscellaneous
6).When the price of cloth was reduced by 25%, the quantity of cloth
consumption increased by 20% what was the effect on gross receipt of the
shop?

A). 5% increase

B). 5% decrease

C). 10% increase

D). 10% decrease

Practice set
1).If the cost price is 95% of the selling price, what is the profit percent ?

A). 4

B). 4.75

C). 5

D). 5.26
Practice set
2).Two items A and B are sold at a profit of 10% and 15% respectively. If the
amount of profit received is the same, then the cost price of A and B may be

A). Rs. 1,000, Rs. 1,500

B). Rs. 5,000, Rs. 2,000

C). Rs. 3,000, Rs. 2,000

D). Rs. 3,000, Rs. 5,000

Practice set
3).A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would
have made a profit of 10%. Then the cost of the article is

A). Rs. 400

B). Rs. 200

C). Rs. 164

D). Rs. 464

Practice set
3).A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would
have made a profit of 10%. Then the cost of the article is

A). Rs. 400

B). Rs. 200

C). Rs. 164

D). Rs. 464

Practice set
4).A man sells an article at a profit of 25%. If he had bought it at 20% less and
sold it for Rs 10.50 less, he would have gained 30%. Find the cost price (in
rupees) of the article.

A. 50

B. 20

C. 25

D. 35
Practice set
5).Oranges are bought at 7 for Rs.3. At what rate per hundred they be sold to
gain 33%?

A). Rs. 56

B). Rs. 60

C). Rs. 58

D). Rs. 57
Practice set
6).By selling 12 oranges for Rs. 60, a man losses 25%. The number of oranges
he has to sell for Rs. 100, so as to gain 25% is

A). 10

B). 11

C). 12

D). 15
Practice set
7).By selling 80 ball pens for Rs. 140 a retailer losses 30%. How many ball pens
should he sell for Rs. 104 so as to make“ profit of 30%?

A). 32

B). 52

C). 48

D). 42
Practice set
8).A man buys 12 articles for Rs. 12/- and sells them at the rate of Rs. 1.25 per
article. His gain percentage is:

A). 20

B). 25

C). 15

D). 18
Practice set
9).Two mobile phones are sold at Rs. 6000 each. The first mobile is sold at 20%
profit and the other one at 25% loss. What is the percentage of loss or profit
incurred during the deal?

A). 7.7% loss

B). 8.3 loss

C). 9 % loss

D). 2% profit
Practice set
10).By selling a table for Rs.350 instead of Rs.400, loss percent increases by
5%. The cost price of the table is:

A). Rs.435

B). Rs.417.50

C). Rs.1000

D). Rs.1050
Let's do a recap
➔ How many models have we learnt?

➔ How many shortcuts have we learnt?

How confident are you on this topic?
Do give your valuable feedback