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 1 of 9.

Tufayel BD said:   3 years ago
Forget about equations or formulas:

Let cp 100.
So, loss: 100 - 15 = 85.
Now doing the unitary method.
When loss 85 then cp 100.
When loss 1 then cp 100/85.
When loss 18700 then 100*18700/85 = 22000.
Now, 15% he will get gain when the price is 22000 * 115% = 25300.
(52)

Jatsho said:   3 years ago
find C.p from loss at 15%.

C.p = (100/(100-loss%)* S.p (given: Rs. 18700)
C.P we get is 22,000.

Now using that C.p, calculate S.P from gain at 15%.
S.p = ((100+ gain%)/100) * C.p.
(27)

Vishal thakur said:   2 years ago
@All.
Simple, the solution is;
cp% = x%.

To calculate cp.
Cp = cp%/cp% - loss%*sp
Cp = x%/x%-15%*18700
cp = x%/0.85 x%*18700

Then cp = 22000.

Then by applying Profit %=sp/cp-cp/cp*.
15/100 + 22000/22000 = sp/22000,
115/100 * 22000 = sp,
Sp = 25300.
(10)

Divya said:   4 years ago
We can find out this solution in another way ..which is the easiest way.that is in this question he gave sp and loss is 15% so from these values we can calculate cp that is;
Sp = (100-15)% of cp.

So you can get cp is 22000.

So compare both cp and sp, we can get the loss is L = cp-sp = 22000 - 18700 = 3300.
So, in order to cover this loss of 15% simply add this loss value to the cp and then we can get 22000 + 3300 = 25300.
(8)

Anonym said:   7 months ago
Simply answer :

Cp - sp = loss
cp = ? , Sp = 18700 , loss = 15%.
Then cp - sp = loss.
Cp - 18700 = 15%.
15% is not the actual % of 18700 rs,
% = 100 then 100% - 15% = 85 %,
Cp - 18700 = 85 %,
Cp = ( 100/85 )*18700,
Cp = 22000.
For 15% profit.
22000 * 15% = 3300.
3300 + 22000 = 25300 rs.
(7)

Jegadeesh said:   1 decade ago
He sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.

To get 1% : 18700/85=220; Then 220 is 1%.

To get 100% : 220*100=22000.

To get 115% : 220*115=25300.
(5)

Albina Antony said:   3 years ago
Well-explained. Thanks @Jagadeesh.
(4)

Shruti said:   4 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.
(4)

Anu said:   4 years ago
We could solve this sum by using percentage method.

Let C. P = 100%
If person loss 15% of 100% so C. P = 85%.
85% = 18700 then;
100% = X,
85X = 18700* 100 = 1870000.
X = 1870000/85.
= 22000.

So now we find C. P = 22000.
Hence gain= C. P - S. P.
= 22000 - 18700
= 3300.

Therefore, by final condition.

Total gain to find = 100 + 15 =115,
So, by percentage method,
If 100= 22000,
115 = X.
So, 100x = 22000*115
X = 22000* 115/100.
X = 25300.
(4)

Duh said:   3 months ago
15% loss means, 85% = 18700,
Then for profit 15%, 115% = (18700/85) )*115, which gives 25300.
(2)


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