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 4 of 9.

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

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.

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.

Mukesh.gusai said:   8 years ago
Thanks.

PraveenKumar V said:   4 years ago
Here in first scenario:

SP:18,700 loss=15%
To find SP =? when gain=15%.

Solution:
Finding overall CP:

CP = 100/(100=15) * 18700
CP = 22000.

Gain % is given. So using the gain formula we can find the gain amount and from that, we can find SP.

To find gain:

15=(gain x 100)/2200
gain=3300.
therefore gain=SP-CP
we know gain and CP, we substitute in the above equation and find SP for 15% gain;
3300 = SP - 22000.
SP = 25,300.

Thank you.

Gopi said:   7 years ago
The formula of C.P=(100*S.P)/(100-loss%).
Then C.P=100*18700/100-15.
=100 * 18700/85.
=22000Rs.

Then S.P= 15/100*22000.
= 25300Rs.

Jitu said:   7 years ago
Simple: 18700 at 15% loss means this is 85% of amount so,
18700/X*100=85,
hence 18700*100=85X,
x=1870000/85=22000,
22000 * 1.15 = 25300(1.15 is 15% profit).

Bashisth said:   7 years ago
C.p * 85/100 = 18700 = 22000,
C.p.=22000,
S.p.=22000 * 115/100,
S.p.= 25300 Ans.

Navin said:   7 years ago
Yes, right @Bashisth.

Honie said:   6 years ago
Given that 15% Loss it means 100%-15%=85%of SP.
Given SP=18700.
we have to find out the 15% of Gain.
means 100%+15%=115%
for 115% how much SP?
after the calculation, the answer will be 25300.


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