Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 12)
12.
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Rs. 21,000
Rs. 22,500
Rs. 25,300
Rs. 25,800
Answer: Option
Explanation:

85 : 18700 = 115 : x

x = 18700 x 115 = 25300.
85

Hence, S.P. = Rs. 25,300.

Discussion:
83 comments Page 5 of 9.

Cgyel said:   9 years ago
The logic behind here is,

SP = 18700.
Loss=15%.
CP= (100/ 100 - 15) * 18700.
= 22000.

Loss = CP - SP.
2200 - 18700.
= 3300.

If he wants to sell for the profit for 15%.
Then 3300 * 2 = 6600.

There fore 18700 + 6600 = 25300.

Adesh Anbasti said:   9 years ago
@Juhi's answer was a very simple way to solve the problem.

Prateek jain said:   9 years ago
First calculate the cost price by using formula:

Cost Price: (C.P.)
C.P. = 100/(100 - loss %) * sp.
Loss% = 15.
sp = 18700.
cp = 100/(100 - 15) * 18700 = 22000,
So now we want to gain a profit of 15% then we should take 15% of cp ie;
22000 * 15/100 = 3300.
sp = cp + 15% of cp.
sp = 22000 + 3300.
sp = 25300.

Jobs said:   9 years ago
15% loss means > sp is 85% of cp.
ie cp * 0.85 = 18700.
cp = 22000.

For 15% profit > sp =(1 + 0.15) * cp.
sp = 25300.

Praveen said:   9 years ago
15% loss.

So, 85% -------->18700 then 15% profit.
115% -------- ?

==> (115 * 18700)/85 = 25300.

Umesh saini said:   9 years ago
CP = 100/100-15 * 18700 = 22,000.
SP = 15 + 100/100 * 22,000 = 25300.

Mukesh.gusai said:   8 years ago
Thanks.

Deepjit Das said:   8 years ago
(CP-SP)/CP=profit = 15/100,
=>(CP-18700)/cp=15/100.
=>CP=22000.

Now,
15%of CP=22000*1(15/100) = 3300,
So the price will be,

22000+3300 = 25300.

Jegan said:   8 years ago
Easy by knowing the formula.

s.p formula s.p=100-loss/100*c.p
so, 18700=85/100*c.p
1870000=85*c.p
1870000/85=c.p
22000=c.p

Then keep s.p ,as a x for gain 15% & gain=x-22000(s.p-c.p).
by formula gain % = 100 * gain/c.p.

So, 15=100/c.p*(x-22000)
15*220=x-22000
3300=x-22000
22000+3300=x.

ANS: 25300.

Badu said:   8 years ago
How to solve this? Please explain it to me.


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