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%?
Answer: Option
Explanation:
85 : 18700 = 115 : x
 x = |
 |
18700 x 115 |  |
= 25300. |
| 85 |
Hence, S.P. = Rs. 25,300.
Discussion:
83 comments Page 3 of 9.
Yasvanth said:
7 years ago
SP=18700 ,
15%loss=85%
SP=? gain of 15%=115% (cross multiplication)
That means (18700/115)*85 = 25300.
15%loss=85%
SP=? gain of 15%=115% (cross multiplication)
That means (18700/115)*85 = 25300.
(1)
Md Noorul Islam said:
6 years ago
Here,
Given, old S.P.=18700.
Loss=15%.
Let C.P = x;
(x-18700)/x = 15/100.
100x - 1870000 = 15x.
x = 1870000/85 = 22000 this is C.P.
Now, 22000 of 15% needed to profit.
22000*15/100 = 3300.
S.P = x+profit =22000+3300 =25300 Ans.
Given, old S.P.=18700.
Loss=15%.
Let C.P = x;
(x-18700)/x = 15/100.
100x - 1870000 = 15x.
x = 1870000/85 = 22000 this is C.P.
Now, 22000 of 15% needed to profit.
22000*15/100 = 3300.
S.P = x+profit =22000+3300 =25300 Ans.
(1)
Atul verma said:
6 years ago
sp = cp*mf.
Here sp = 18700 and mf(multiplying factor) if loss is 15% = 1-0.15 = 0.85.
Hence cp = sp/mf.
cp = 18700/0.85 = 22000.
Again if he wants gain of 15% then sp will be sp = cp*mf.
mf here in case of gain will be 1+0.15 = 1.15.
hence sp will be = cp*1.15.
CP, as calculated, is 22000.
SP = 22000*1.15 = 25300.
Here sp = 18700 and mf(multiplying factor) if loss is 15% = 1-0.15 = 0.85.
Hence cp = sp/mf.
cp = 18700/0.85 = 22000.
Again if he wants gain of 15% then sp will be sp = cp*mf.
mf here in case of gain will be 1+0.15 = 1.15.
hence sp will be = cp*1.15.
CP, as calculated, is 22000.
SP = 22000*1.15 = 25300.
(1)
Snehal said:
2 decades ago
How you hav done 85:18700=115:? please tell me.
(1)
Neeraja said:
5 years ago
Thanks @Sunil.
(1)
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.
=>(CP-18700)/cp=15/100.
=>CP=22000.
Now,
15%of CP=22000*1(15/100) = 3300,
So the price will be,
22000+3300 = 25300.
Badu said:
8 years ago
How to solve this? Please explain it to me.
Mukesh.gusai said:
8 years ago
Thanks.
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.
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.
PraveenKumar V said:
5 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.
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.
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