Profit and Loss Shortcut formulas

Will you please provide the Shortcut formulas for Profit and Loss Questions ?

[Kiran Chandar]

Here I am providing the list of few Shortcut formulas for Profit and Loss Questions which you are looking for .

Type 1:- If on selling 12 notebooks a seller makes a profit equal to selling price of 4 notebook, what is his profits percentage?
a. 16.2/3
b. 25
c. 50
d. None of these

Ans:-50

if there is profit on selling item = selling price of an article
To find profit %, simply minus 12 from 4= 8

Profit % = 4/8*100=50

Type 2:- The ratio of the cost price and the selling price is 4:5. The profit percent is?
a. 10
b. 20
c. 25
d. 30

Ans:- 25
profit is always calculated on cost price
so, c.p=4 , s.p=5
Profit=s.p-c.p, 5-4=1
profit %= profit/cost price * 100, then, 1/4*100= 25

Type 3:- A vender loses the selling price of 4 oranges on selling 36 oranges his loss percentage is?
a. 10
b. 11.1/9
c. 12.1/2
d. None of these

Ans:-10
if there is loss on selling item = selling price of an article
to find loss%, simply add 36 to 4 = 40

Loss % = 4/40*100 = 40

Type 4:- Some article were brought of 6 for rs. 5. And sold at 5 for rs. 6. Gain percentage is/
a. 30
b. 33.1/3
c. 35
d. 44

Ans:-44

Type 5:- A vender by selling 12 toffee for a rupee. A man loses 20%. How many for a rupee should he sell to get a gain of 20%?
a. 10
b. 20
c. 8
d. 12

Ans:- 8
12 toffee for rs 1 loss 20% then
c.p = 1*100/80 = 5/4 on this price we have to gain profit of 20%

So, 5/4* 120/100 = 3/2
If for Rs. 2/3 we have 12 toffee then for rs 1 we have
= 12x2/3=8

Type 6:- A sell a bicycle of to B at a profit of 20%. B sell it to C at profit of 25%. If C pays rs. 225 for it the cost price of bicycle is?
a. 110
b. 120
c. 125
d. 150

Ans:- 150
let cost price be X then,
x.120/100 . 125/100= 225 ,
by solving, then X equal to 150

Type 7:- A shopkeeper professes to sell his goods at cost price but uses a weight of 800gm instead of 1kg. thus he makes a profit of?
a. 20%
b. 16.2/3
c. 25
d. 50

Ans :- 25

Type 8 :- A shopkeeper cheats to the extents of 10% while buying as well as selling by using false weight his total gain is ?
a. 10%
b. 11%
c. 20%
d. 21%

Ans :-21%

Type 9 :- An article when sold at a gain of 5% yields rs. 15 more than when sold at a loss of 5%. Its cost price would be
a. 150
b. 200
c. 250
d. 300

Ans:-150
difference between gain % and loss% equal to 10%
then, 10% = rs. 15
100% = rs. 150 , that is your cost price

Type 10:- The price of an article has been reduced by 25%. In order to restore the original price the reduced price must be increased by?
a. 25%
b. 30%
c. 33%
d. 33.1/3%
Ans:-33.1/3%

Type 11:- An article was sold at 16% gain. Had it been sold for rs. 200 more, the gain would have been 20% then the cost price of the article is?
a. 5000
b. 4800
c. 4500
d. 5200
Ans :- 5000

difference in gain % equal to 200,
Then 20%-16%=4%
4%= 200 then,
100%= 5000 that is your cost price of the article