Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 6)
6.
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Answer: Option
Explanation:
Let C.P. be Rs. x.
| Then, | 1920 - x | x 100 = | x - 1280 | x 100 |
| x | x |
1920 - x = x - 1280
2x = 3200
x = 1600
 Required S.P. = 125% of Rs. 1600 = Rs. |
 |
125 | x 1600 |  |
= Rs 2000. |
| 100 |
Video Explanation: https://youtu.be/0tTd5TwCspY
Discussion:
93 comments Page 3 of 10.
Vijay said:
1 decade ago
I can tell in a easy way
here sp1=1980,sp2=1280
in question
profit of one article=loss of another article
sp1-cp=cp-sp2
1920-cp=cp-1280
2 cp=3200
cp=1600
and gain%=25
gain%=((sp-cp)/cp)*100
25=((sp-1600)/1600)*100
by solving
sp=400+1600
sp=2000
the article should sell with 2000 to get 25%
here sp1=1980,sp2=1280
in question
profit of one article=loss of another article
sp1-cp=cp-sp2
1920-cp=cp-1280
2 cp=3200
cp=1600
and gain%=25
gain%=((sp-cp)/cp)*100
25=((sp-1600)/1600)*100
by solving
sp=400+1600
sp=2000
the article should sell with 2000 to get 25%
Gaurav bhardwaj said:
1 decade ago
Simplest explanation given by mr vikas kumar sharma.
Thank you sir.
No use of formulas. Just understand the Que. And its solves automatically.
Thank you sir.
No use of formulas. Just understand the Que. And its solves automatically.
Muneer said:
1 decade ago
Thank you Kumar. Your explanation is so good.
Raghavendra said:
1 decade ago
It'll be easy if we calculate the cost price first. Its given that percentage profit made is equal to percentage loss. Then even the amount lost on one sale(1280) will be equal to amount gained on another(1920).
Cost price will be middle of this two numbers i.e. Rs.1600.
If cost price is Rs.1600, in order to make 25% profit it should be sold at Rs.2000.
Cost price will be middle of this two numbers i.e. Rs.1600.
If cost price is Rs.1600, in order to make 25% profit it should be sold at Rs.2000.
Vijay said:
1 decade ago
Avg of 2 articles is((1920+1280)/2)=1600.
Then 25% of 1600 is 400. ie,
(25/100)*1600=400.
Then 1600+400=2000.
Then 25% of 1600 is 400. ie,
(25/100)*1600=400.
Then 1600+400=2000.
Chandan said:
1 decade ago
Try to understand. According to question.
SP1 - CP = CP - SP2.
i.e. CP = SP1 + SP2/2.
CP = (1920+1280)/2.
CP = 1600 of 125%.
= (1600*125)/100 = 2000.
SP1 - CP = CP - SP2.
i.e. CP = SP1 + SP2/2.
CP = (1920+1280)/2.
CP = 1600 of 125%.
= (1600*125)/100 = 2000.
Ramesh Marappan said:
1 decade ago
Friends you don't know what is cost price first we can find cost price and thus (1950+1280)/2 we get 1600.
So,
Cost price 100 = 1600.
125 = 2000.
So,
Cost price 100 = 1600.
125 = 2000.
Ankur said:
1 decade ago
Simply bring difference of 1950-1280 = 640/2 = 320
320 add in 1280 = 1600 *25% = 2000 Rs. Selling Price.
320 add in 1280 = 1600 *25% = 2000 Rs. Selling Price.
Malu said:
1 decade ago
What is the formula for profit%?
Shahid said:
1 decade ago
Let CP = x.
Profit = SP-CP = 1920-x.
Loss = CP-SP = x-1280.
Then CP = 1600/-
SP = CP*((100+profit)/100).
SP = 1600*1.25.
SP = 2000/-
Profit = SP-CP = 1920-x.
Loss = CP-SP = x-1280.
Then CP = 1600/-
SP = CP*((100+profit)/100).
SP = 1600*1.25.
SP = 2000/-
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