class 9 profit and loss

P 9 - 16 4:51 PM

Monday, June 22, 2020

Buying price is called CP
Selling price is called SP
There is profit if SP>CP
there is loss if CP>SP

Profit % =
Loss %=

Calculate the profit centage of profit or loss on
I) A table bought for Rs 2500 and sold at Rs 3800

Solution ,
Cost price (C.P) = 2500
Selling price (S.P)= 3800
SP>CP
We have,
Profit= SP-CP

Profit % =52
2A) Work out the selling profit of
a) A clock bought for Rs 120 and sold at a 20% profit

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a) A clock bought for Rs 120 and sold at a 20% profit
Solution
CP= 120
Profit % =20
We have

3A BOOK PAGE 30
Lakpa buys 20 items for Rs 6000. He sells them a Rs390 each .find
a) His total profti on the deal
b) His precentage of profit on the deal

Solution
CP of 20 itnes = 6000
SP of 20 items =
Sp>cp

Profit= 1800

Q4 & 5 similar to discount and easy to solve by using discount formula Find the profit

Q 6 BOOK page 30

An article bough for Rs 800 is sold for

percentage
Solution ,

sp>cp

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sp>cp

7b) if a dozen pencil is bought for Rs 48 and sold fro RS 5 each piece .what is
the profit percentage
Solution ,
CP of 12 pencil= 48
Sp of 12pencil =
SP> cp

8a)
A man sold a watch for RS 252 at 5% profit . Find the cost price
Solution ,
SP= 252
Profit %= 5%
CP= ?
We have,

252=1.05

9a page 31
if the cost price of 10 chairs is equal to the selling price of 16
chairs . Find the loss or gain percentage

solution
Let CP of 1 chair =

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Let CP of 1 chair =
By question ,
Loss in 1 chair

=

9b) Let CP of 1cycle =

By question ,
Profit in 1 cycle=

Arithematics Page 4

=

10 a) s shokeeper sold a piece of Kurtasalwar for Rs1080 at a loss of 10% . At what
pricce should be sell to gain 10%
Solution
If 10 % loss

if 10% profit

11a ) sohan bought a radio for Rs 800 and dokd it to Rohan at profit of 20% .
Rohan sod it to mohan at loss of 10 % for how much did mohan buy it ?
Solution
C.P. of sohan =800
If 20% is profit
S.P.of sohan

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If 10% loss

S.P. of Rohan =
=

C.P. of mohan =S.P. of rohan =864

12 a ) Salman sold two computer for Rs2400 each . One he gains 20% and on the
other he loss 20 %. Find the total gain or loss in his whole transaction.
Let S.P of one computer =24000

cp= 20,000

cp= = 50,000
Total C.P = 30,000 +20,000
Total SP= 2400+2400=4800
CP>SP

Loss % =

Loss % =

= 4% .
13) a man bought two books for 1040 . He sold one at loss of 15% and other at a profit of

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13) a man bought two books for 1040 . He sold one at loss of 15% and other at a profit of
36% then he found that each book was sold for the same price .Price . Find cost price of
each book
Let C.P of first book and second book are 'x' and 'y' respectively
x+ y = Rs. 1040
or x= 1040 - y
if, 15% loss on first book,
S.P1 =

S.P1 = 0.85 x.
again

S.P2 =

S.P2 =
By question,

S.P1 = S.P 2 ( each book is sold for same price )

884-0.85y=1.36y

884=1.36y+0.85y

884=2.21y

y = Rs. 400

from x=1040-y

x = Rs. 640

Page 31 Q.13. b
Let C.P of first watche and second watch are 'x' and 'y' respectivel

x+ y = Rs. 3000
or x= 3000 - y
if, 15% loss on first book,

S.P1 =
……………
S.P1 = 0.85 x.

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S.P1 = 0.85 x.
again

S.P2 =

…………
S.P2 = 1.19 y
By question,
S.P1 = S.P 2 ( each book is sold for same price )
0.85x = 1.19y
0.85 (3000-y) = 1.19 y

y=1250
y = Rs. 1250 and x = Rs. 1750

14) When an article is sold at 6% and 9% profit then the difference is is Rs 9. Find the CP
and SP of the article
Q.14. is as same as Q. 16.

SP1 =

SP1 =

SP2= )
SP2=
SP2=

(

Cp= 300

14b) by selling an article sonu makes aprot of 20% . If cp decrease by 10% and sp slo
increase by 10% find the profit percent
let cp be x

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Sp=1.2x

a

new profit =
new profit =

15) Sshisir bought 4000 oranges at 70 paisa each but 400 of them were rotton. He sokd 2000 iranges at 90 paisa

each If he plan to make a proft of Rs 2000. at rage mmust he sell the rest of the orange ?
Total number of Orange =

CP of 400 orange = paisa = Rs.

Rotten Orange = 400.

Good Orange =

S.P of 2000 orange = paisa = Rs.

Remaining Orange =

Let Each Remaining Orange is sold at x paisa.

S.P of Reaming orange = paisa , = Rs.

Total S.P =

Again We have,

S.P = CP + Profit .

x= 75 paisa

Of at 30 per rupies. He mixes them and dokd them at 25 per paisa . Finnd his loss or gain percent

Let x litchies are brought
Cp of 20 litchi =

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Cp of 20 litchi =
Cp of 1 litchies =
Cp of x litchies =
Cp of 30 litchi =
Cp of 1 litchies =
Cp of x litchies =
sp of 25 litchi =
sp of 1 litchies =
sp of 2x litchies =

Total CP=
=
total loss

loss%

16 A person sold an article at a profit of 15% . If he sold it or Rs 81 less,His profit BEEN 12% . FIND
THE COST PRICE OF THE ARTICLE

Page 31. Q.16. a.

Let C.P be x

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Let C.P be x
if profit ,

Again
By question

( Because SP1 is 81 less than SP2)

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