Problems on Marked Price and Discount

Important formula:

Discount % =

Profit %=

**Problem 1:** If the marked price of an article is 20% more than its C.P and the shopkeeper allow a discount of 10%. Find his profit percent?

Solution: Profit %=

= =8%

**Problem 2:** Saurabh sells an item at 12.5% profit also he used a false weight of 900 grams at a place of 1100 grams. Find his overall profit percentage?

Solution: 1100-900=200

p1 = %

p2=12.5%

p1+p2=p

12.5+25=37.5

**Problem 3:** A man sold a book at a profit of 10% if he had charged RS.45 more his profit percent would have been 25 %. Find the value of X if the average of C.P, 52 and X is 172?

Solution: p1=10% p2=25%

25%-10%=15%

15% 45

100% ?

x=516-352=RS 164

**Problem 4:** Raju marked the price of an article 25% above the C.P and allowed two successive discount of 15% and 24% respectively, as a result, he incurred a loss of RS.1078. At what price did he sell the item?

Solution :

C.P M.R.P 15%,24% Discount

100 125 =80.75%

100-80.75=19.25

19.25 1078

100 ?

C.P=5600

S.P=5600-1078=4522

**Problem 5**: The ratio of C.P to the selling price of an article is 5:6. If 20% discount is offered on the marked price of an article the marked price is what percent more than the C.P?

Solution: C.P S.P

5 : 6

20% discount is offered =

M.R.P S.P

5 4

Selling price should be equal so multiply by 2 in the first condition and multiply by 3 in the second condition.

C.P S.P C.P S.P

(5 : 6)*2 10 12

M.R.P S.P M.R.P S.P

(5 4)*3 15 12

%