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?
Rs. 2000
Rs. 2200
Rs. 2400
Data inadequate
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 7 of 10.

Anup said:   1 decade ago
Shortcut trick:

1920+1280*2.

Ans = 1600.

Banty said:   1 decade ago
It is very simple question.

At first,

First article cp = x.
second article cp = x.
Total-------------------------
= 2x.

First article sp =1920.
Second article sp= 1280.
Total-----------------------
= 3200.

Then first article cp = 3200/2 = 1600.

According to the question.
Get 25% profit.

100 is = 125.
1 is = 125/100.

1600 is = 125/100*1600.
= 2000.

Perveen kumar said:   1 decade ago
Add sp1(profit) - sp2(loss)/2.

i.e. 1950-1280/2 = 640/2 = 320.

Add in 1280 = 1600*25%= 2000 answer.

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/-

Malu said:   1 decade ago
What is the formula for profit%?

Ankur said:   1 decade ago
Simply bring difference of 1950-1280 = 640/2 = 320

320 add in 1280 = 1600 *25% = 2000 Rs. Selling Price.

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.

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.

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.

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.


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