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 2 of 9.

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.

John said:   1 decade ago
Let the actual price of the plot be X.

When the plot was sold at 18700 the loss% was 15%.

It means 18700 = 85% of X.

i.e. 18700 = 85/100*X.

Hence, X = 22000 (the actual price of the plot).

In order to make a profit of 15%, just find the 115% of 22000.

i.e. 115/100*22000 which will be Rs. 25300.

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)

RIZWAN said:   4 years ago
The calculation for (when an owner loses 15%)

S.P% x CP = SP
85/100 X CP=18700

CP= 22000 ( actual price before 15% loss)


The calculation for ( when an owner loses 15%)

PROFIT% X CP= PROFIT.
115/100 X 22000 = AMOUNT AFTER 15% PROFIT.

AMOUNT AFTER 15% PROFIT = 25300.
(2)

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)

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.
(2)

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)

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)

Namrata said:   1 decade ago
Hi guys,

I have sum confusion, Please help me out.

If we solve this ques by the formula which is given in important formula then:

C.P = {100/(100-15)}*18700 = 22000.

So,

S.P = {(100+15)/100}*22000 = 335.

So why the answer is coming different.

Kiran More said:   1 decade ago
SIMPLEST WAY.

Given:

S.P = 18700.
LOSS% = 15%.

FORMULA: TO FIND C.P WHEN LOSS% AND S.P IS GIVEN.

C.P = (100/100-LOSS%)*S. P.

= (100/100-15)*18700.

= (100/85)*18700.

C. P = 22000.

FOR NEW S.P = 115% OF 22000.

= (115/100)*22000.

= 25300.


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