What will be the percentage of profit, if a shopkeeper provides a discount of 25 % after increasi

M4maths Previous Puzzles

19 Apr 2010 % Profit?

What will be the percentage of profit, if a shopkeeper provides a discount of 25 %
after increasing the price of an object by 50 %?

OPtion

1) 25
2) 15
3) 22.5
4) 12.5
5) 32.5
6) 40
7) 50
8) 45
9) 42.5
10) 10

Solution

Let the original price of the object is 100
After increasing the price of object by 50 %, selling price is 150
After taking a discount of 25 % on the selling price,
Price of the object for the customer is 150 * 0.75 = 112.5
Profit percentage = 112.5 – 100 = 12.5

Correct Option: 4 Best Solution (18)

Dr.Dipin Singh   14 years AGO

If CP is 100.

Increased price is Rs 150.

Price /SP after discount = 150- !%)*0.25 = 150-37.5 = 112.5

Profit = Rs 12.5.

so % profit = 12.5..option 4

Like? Yes (1) | No   

Saranjit Singh   14 years AGO

0.75*1.5 -1.0 = 1.125-1= 0.125 means 12.5%

Like? Yes (1) | No   

Pargat Pal Singh   14 years AGO

suppose cost = Rs 100.
Marked price = Rs 150.
Discount @ 25% = 37.5
selling price = 112.5
profit = Rs 12.5 on Rs 100 or 12.5%

Like? Yes (1) | No   

Karthik Pandiyan   14 years AGO

Ans:12.5%

Let x(say 100) be original price
after increasing 50% >> x=150
he provides a discount of 25% >> 150*(25/100) >> 37.5
now cost of object is 112.5 and he got a profit of 12.5%

Like? Yes (1) | No   

S. Singh   14 years AGO

If cost = Rs 100.
Increased price = Rs 150.
Discount of 25% means Rs 37.5
Discounted price = 112.5
profit = Rs 12.5 means 12.5%

Like? Yes (1) | No   

Karan   14 years AGO

increased price of object of Rs 100= 150
discount = 37.5 Rs.
selling price = 112.5 Rs
Profit % = 12.5%

Like? Yes (1) | No   

Sukham   14 years AGO

cost price =Rs 100.
50% increased price = Rs 150.
Discount = 25% of 150 = Rs 37.5
profit = 150-37.5-100=12.5

Like? Yes (1) | No   

ASHOK ROY   14 years AGO

Profit of 50% over x means selling price is 3x/2. discount on this @ 25% means selling price = 9x/8 So profit over x is (9x/8)-x=((1/8)x/x)*100=12.5%

Like? Yes (1) | No   

Amar   14 years AGO

150-150x0.25 = 150-37.5=112.5
profit = 112.5-100=12.5

Like? Yes (1) | No   

Neha Bhatia   14 years AGO

12.5

Like? Yes (1) | No   

Mehul MKDP   14 years AGO

COST = 100
LABEL PRICE = 150 (AFTER 50% RISE AS MARGIN)
ALLOWING 25% DISCOUNT ON 150 WILL
BE 112.5 ;
WHICH ALLOWS SHOPKEEPER TO EARN 12.5 Rs. / %
as Profit against Rs. 100 as Cost.

Like? Yes (1) | No   

susmit   14 years AGO

100+50=150
150*.75=112.5
112.5-100=12.5

Like? Yes (1) | No   

Ankur Pandey   14 years AGO

let initial price=P
price after increase=1.5P
price after discount=(1-0.25)*1.5P=1.125P
so,profit=0.125P=12.5%

Like? Yes (1) | No   

sivakumar   14 years AGO

1.5*.75=1.125 i.e., 12.5 % profit

Like? Yes (1) | No   

~Sandeep~   14 years AGO

CP=80
SP=120
Discounted SP= 120- 120/4 =90
Profit=90-80/80 *100 = 12.5

Like? Yes (1) | No   

SUDESHNA SEN   14 years AGO

Let the original price of the object be x.
After increasing the price by 50% it becomes (150/100)*x= (3/2)x.
Again after providing a discount of 25% it becomes (75/100)*(3/2)x= (9/8)x
Therefore the profit is (9/8)x-x= (1/8)x and the percentage of profit= (1/8)x/x*100%= 12.5%.....Option 4)

Like? Yes (1) | No   

Bimal   14 years AGO

cost =x, Increased price = 1.5 x,... Dicounted price = 1.5*x*0.75= 1.125 *x... profit = 0.125 x ........ % profit = 0.125x*100/x = 12.5%

Like? Yes (1) | No   

Mihir   14 years AGO

150*0.75-100 = 12.5

Like? Yes (1) | No