PROFIT LOSS Part-2

In Continution to the previous notes...

Type  : 8 

Question 1 : A medical store owner purchased medicines worth Rs 6000 from a company. He sold 1/3 part of the medicine at 30% loss. On which gain he should sell his rest of the medicines, so that he has neither gain nor loss?

Solution 1: Total CP = 6000
1/3 part sold at 30% loss i.e.
He sold medicine of cost 2000 just in Rs. 1400.
On rest medicine i.e on 4000 he must has to gain Rs. 600.
x% of 4000 = 600
x = 15%

Solution 2:

let 1 art = 1 rs 
so we have 6000 articles 
2000 articles sold at 30% loss i.e at 1400 rs 
now we need 4600 rs from 4000 articles i.e 
(600/4000) x 100% = 15 % 

Type : 9

Question 2 : If Karan purchases 10 oranges for Rs 25 and sells 9 oranges for Rs 25, then find the gain percentage ?         

Solution1:

Given, the cost price of 10 oranges= Rs . 25.

 Thus, the cost price of 1 orange = 25/10=Rs. 2.5

 Now, the selling price of 9 oranges= Rs. 25

 So, the selling price of one orange = 25/9.

 As observed, there is a profit as the selling price is more than the cost price.

 Calculate profit using the formula:

Profit= S.P - C.P

Profit= 5/18

 Now, calculate the profit percentage using the formula:-
profit%=profit/cp x 100

          = (5/18)/(25/10) x100=11 1/9%

Solution2:

Let Total No of oranges=LCM(10,9)=90
Cp of 90 Oranges=25/10x90=225
Sp of 90 Oranges=25/9x90=250
Profit=250-225=25
Profit%=25/225x100= 11 1/9%

Type:10   Dishonest Dealer

Dishonest Dealer: A dishonest dealer is one who claims to sell his product in welfare of customer but either he alters weight or he marks up price too high and then gives discount to attract customers.
Let us assume that the shopkeeper makes a gain of G% in selling his product.

Question 3 : Let a dishonest shopkeeper sells sugar at Rs 18/kg which he has bought at Rs 15/kg and he is giving 800gm instead of 1000gm. Find his actual profit percentage.
Solution: Here the cost price of the sugar = Rs 15/kg
The selling price = Rs 18/kg.
The profit made by the shopkeeper is of Rs 3 and the profit percentage = 3/15 x 100 = 20%
This will be his total profit if he has actually sold 1 kg sugar. But that is not the case here as he is using the false weight.
Now the profit due to wrong weight =
= (200/800)x100 = 25%
The overall profit percentage = {P + Q + (PQ/100)} = [20+25+{(20 x 25)/100}] = 50%

Question 4: A dishonest shopkeeper sells milk at 20% gain and also he add water in the ratio 4:1 in it. What is his total profit?

Solution:
In the case of milk & water. The milk amount is consider as 100. Now during the comparison of water with milk, the water amount is taken as profit %.
See here : M       W
.                 4    :   1
.             100% : 25%
profit on selling milk on CP but he sold it 20% gain
So: 25+20+ (25*20)/100= 50% total

Question 5: A shopkeeper claims that he is selling sugar at Rs 23/kg which cost him Rs 25/kg but he is giving 800gm instead of 1000gm. What is his percentage profit or loss?

Solution: 

Here the cost price of the sugar is Rs 25/kg and the selling price is Rs 23/kg. So the loss is Rs 2/kg and the loss percentage = 2/25 x 100 = 8%
The profit due to wrong weight = 200/800 x 100 = 25%
Hence the overall profit and loss is given by  {P + Q + (PQ/100)}
But as he is making loss of 8% in the first case so we put -8 in the above expression. If the final value is positive then he is making profit otherwise loss. So the net profit and loss =
{25 – 8 + {25 x (-8)}/100} = 25 – 8 – 2 = 15%
As the final value is positive so he is making a profit of 15%.