Profit and Loss- Aptitude Questions and Answers

Cost Price of 100 book will , 10*100 =1000
Selling Price of 100 book will , 12*100 = 1200

So, Profit = SP - CP (if SP > CP),
Profit = 1200 - 1000 = 200 rupees

Loss = CP - SP
CP = 0.50 + 6 = 6.50 Rs

Profit = SP - CP = 680 - 640 = 40
Required, profit % = Profit/CP * 100
= (40/640) * 100
= 6.25 %

Profit = SP - CP
SP = 528 + 44 = 572
Profit % = Profit/CP * 100
= (44/572) * 100
= 7.69 %

Profit % = Profit/CP * 100
10 = (Profit/800) * 100
Profit = 80

Profit = 80 = SP - CP
80 = SP - 800
SP = 880

Loss % = Loss/CP * 100
25/3 = (Loss/1200) * 100
Loss = 100

Loss = 100 = CP - SP ( CP > SP )
100 = 1200 - SP
SP = 1100

After resolving -

Profit % = Profit/CP * 100
10 = (Profit/800) * 100
Profit = 80 = SP - CP ( SP > CP )
80 = SP - 800
selling price of calf, SP = 880 ----------Eq1

Loss % = Loss/CP * 100
25/3 = (Loss/1200) * 100
Loss = 100 = CP - SP ( CP > SP )
100 = 1200 - SP
selling price of cow, SP = 1100 ----------Eq2

So, Total cost price of both = 800 + 1200 = 2000
and from Eq1 and 2, Total selling price is = 880 + 1100 = 1980

Loss = CP - SP ( CP > SP ) = 2000 - 1980 = 20
Loss % = Loss/CP * 100 = (20/2000) * 100 = 1 %

Cost price when A buys an article = 96
Profit % = 25/3 = Profit/CP * 100
Profit = 96 * (25/3 )/ 100 = 8
A sells to B on, SP = CP + Profit
= 96 + 8
= 104

Cost Price when B buys an article = 104
Loss % = 5 = Loss/CP * 100
Loss = 104*5 /100 = 5.2
B sells to, SP = CP - Loss
= 104 - 5.2
= 98.8

Let X be cost price.
if sold at 15% loss on the sale price 136 then
=> (100–15)*X / 100 = 136
=> 0.85*X = 136
=> X = 136 / 0.85 = Rs 160

to make 10% profit the sale price should be
=> (100+10)*X / 100
=> 1.10*X
=> 1.10*160 = Rs 176

Let for an articles cp =x , sp =y
cp of 20 articles =20*x , cp of 16 articles =16*y

As is given, 20*x=16*y
y=20*x/16 = 5*x/4

Gain% = (sp-cp / cp)*100 (Sp > CP)
= (5*x/4 - x / x ) *100
= (5/4 - 1)*100
= (1/4)*100
= 25%

SP = 6
profit% =20

CP* (120/100) = 6
CP = 6*(100/120)
CP = 5
CP of 100 coconuts = 100*5 = 500

Let the CP of the article = x
Gain=1/10 of x = x/10
SP of the article= Rs. 550

SP = CP + Gain
x + x/10 = 550
10x + x = 550 * 10
11x = 5500
x = 5500/11
x = 500
Thus, CP = 500

Gain% = (SP-CP)*100/CP
=(550-500)*100/500
=50/5
=10%

Let CP of Book be x
SP at 12% gain = x + 12*x/100 = 1.12x
SP at 18% gain = x + 18*x/100 = 1.18x

According to question,if it sold for 18 rupees more then the gain would have been 18%.
So,
1.18x - 1.12x = 18
=> 0.06x = 18
=> x = 18*100/6
=> x = 300

Hence,the CP of a book = 300

CP of 330 boxes = (7200 + 200 + 600) = Rs 8000
SP of 330 boxes = (330 * 28) = Rs 9240
Gain = 9240-8000 = 1240
Gain % = (1240 / 8000) * 100 % = 15.5%

Let the cost price of article be Rs x
Profit = 12%
Rate of sales tax = 10%
Sale price of an article including sales tax = Rs 616
According to the question,
⇒112x/100 + 112x/100 * 10/100 =616
⇒112x/100 + 112x/1000 =616
⇒(1120x + 112x)/1000 =616
⇒1232x=616*1000
⇒x=500

CP of one toy=Rs 375/12=Rs 31.25
SP of one toy=Rs 33
profit=SP-CP=33-31.25=Rs 1.75
profit %=(profit/CP)*100
=(1.75/31.25)*100
profit% =5.6%