Question

an article is sold on profit when a discount is given on the marked price and on loss of 1 rupee if 10% more discount is given.if 10%less discount is given then profit increased by 5 rupee then find the initial profit ?

Answer 1

Answer:

Step-by-step explanation:

Let profit = x

Then

10% of mrp = x+1

10% of mrp = 5

Now, x+1 = 5

x = 4

Ans=4

Answer 2

The initial profit is 16.66%.

Step-by-step explanation:

Given:

Discount = 10%

Profit made by 5 rupee it means Profit = 5%

To Find: The initial profit.

Formula used:

SP = [(100 – %Discount )/100]  MP ---------------------- Formula no.01

Profit % = [(SP - C P)/C P] × 100   ---------------------------formula no.02

Here, SP =selling price, C P= cost price & MP = market price

Solution:

Let the marked price of the article be Z.

Applying the formula no.01

$SP=[\frac{(100- 10\%)}{100} ] \times Z$

$SP=\frac{9Z}{10}$

Applying the formula no. 02

Profit of 5%  is made.

$5=[ \frac{\frac{(9Z)}{10} -CP}{CP} ] \times 100$                        

$CP=18Z-20 CP$    

$CP=\frac{18}{21}Z = \frac{6}{7} Z$

Applying the formula no. 02.

$Profit\%=[ \frac{Z -(\frac{6}{7} )Z )}{(\frac{6}{7} Z )} ] \times 100$

      $=(\frac{Z}{6Z} ) \times100$

Profit % = 16.66%

The profit percentage is 16.66%.

Thus, The initial profit is 16.66%.