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 2 of 9.
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.
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.
J.sabarish said:
5 years ago
Agree @M. V. Krishna/Palvancha :
That is cp=21505. But after getting it, if you check for sp (rs. 18700) with it, we can't get the answer (rs. 18700).
Sp=85% of 21505=18, 280 (which proves that it is wrong).
Anyone clear this.
That is cp=21505. But after getting it, if you check for sp (rs. 18700) with it, we can't get the answer (rs. 18700).
Sp=85% of 21505=18, 280 (which proves that it is wrong).
Anyone clear this.
(1)
Aanchal said:
5 years ago
SP = 18700,
Loss= 15% = 15/100 = 3/20,
It means you have to subtract for loss(20-3=17),
So the loss is of 3 = 17,
17 =18700,
1=18700/17 = 1100,
Profit =15% = (3/20).
It means you have to add for profit (3+20=23),
So gain is by 3=23.
SP= 23*1100 = 25,300.
Loss= 15% = 15/100 = 3/20,
It means you have to subtract for loss(20-3=17),
So the loss is of 3 = 17,
17 =18700,
1=18700/17 = 1100,
Profit =15% = (3/20).
It means you have to add for profit (3+20=23),
So gain is by 3=23.
SP= 23*1100 = 25,300.
(2)
Neeraja said:
5 years ago
Thanks @Sunil.
(1)
Aarya said:
5 years ago
Given selling price(sp)=18700 (with loss of 15%)
So basically,
sp = cp(cost price) - 15% cp.
Let cp be x.
18700=x-0.15x.
18700=0.85x.
So we get x=cp=22000.
Now if he needs a gain of 15%,
SP=22000+15%(22000),
SP=25300.
So basically,
sp = cp(cost price) - 15% cp.
Let cp be x.
18700=x-0.15x.
18700=0.85x.
So we get x=cp=22000.
Now if he needs a gain of 15%,
SP=22000+15%(22000),
SP=25300.
Swathi n s said:
5 years ago
In ratio method.
15 percent =3/20.
Hence, sp:cp.
15 percent loss 20:17
15 percent gain 23:20.
By cancellin common term sp:cp =23:17.
Then 17x =18700 therefore x=1100.
23x = 25300.
15 percent =3/20.
Hence, sp:cp.
15 percent loss 20:17
15 percent gain 23:20.
By cancellin common term sp:cp =23:17.
Then 17x =18700 therefore x=1100.
23x = 25300.
Indu said:
5 years ago
Why are we considering 15% as 115? Please explain.
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)
Srijit Chakrabarty said:
6 years ago
USE THIS FORMULA.
S1/(100-LOSS%) = S2/(100+GAIN%).
S denotes the selling price.
So,here,
18700/(100-15) = S2(100+15).
S2 = (18700*115)/85,
S2 = 25300.
S1/(100-LOSS%) = S2/(100+GAIN%).
S denotes the selling price.
So,here,
18700/(100-15) = S2(100+15).
S2 = (18700*115)/85,
S2 = 25300.
(2)
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)
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