A plot is sold for Rs 18700 with a loss of 15 at what price it should be sold to get profit of 15

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Discussion :: 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%?

[A].	Rs. 21,000
[B].	Rs. 22,500
[C].	Rs. 25,300
[D].	Rs. 25,800

Answer: Option C

Explanation:

85 : 18700 = 115 : x

x =		18700 x 115		= 25300.
85

Hence, S.P. = Rs. 25,300.

Vikas said: (Jun 11, 2010)
I think the answer u mentioned here is wrong coz wen u calculate the amount 15% in 18,700 and add it then the result will be 21505. But if v calculate as per ur ans 25300-18700=6600 so.. 6600/18700*100 the result will b 35.2%.

Suruchi said: (Jun 17, 2010)
How will you get the equation 85:18700=115:x. And how you get the answer? Please explain.

Sunil said: (Jun 21, 2010)
The formula used for this solution is:- Selling price at a 15% loss is 18700, .i.e, for 100 rupees of investment we got only 85 rupees. Same way to get a profit of 15% .i.e, for 100 rupees we have to get 115 rupees. So, 85 rupees at 15% loss(100-15=85)=C.p 18700 So, 115 rupees at 15% gain (100+15=115)= C.p ? 85=18700 115=? ? = ( 18700115 )/85 = 220115 = 25300 S.p= 25300 with the gain of 15%.

Snehal said: (Jun 24, 2010)
How you hav done 85:18700=115:? please tell me.

Jegadeesh said: (Sep 1, 2010)
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% : 220100=22000. To get 115% : 220115=25300.

K.Rajeshreddy said: (Dec 3, 2010)
The formula for to find gain percentage is Here 85 is to loss of 15% and 115 is to gain of 15% So, totally 85:18700=115:?

Shafiq said: (Dec 11, 2010)
When you are calculating 1percent of 18700, you have divided 18700 with 85. But 85 is 85%. Please explain it.

Prashant said: (Mar 25, 2011)
Snehal the answer suggested by jegadeesh. Is absolutely easy to understand. And the explanation suggested by them is not proper. !

Satendra said: (Apr 12, 2011)
When he sold 18700 getting 15/. Loss it means his c.p. Is 20000 if he want to get 15/. Profit he should be sell at 20300 this will be ans

Kiran said: (Jun 18, 2011)
Calculate Cost price by applying formula = 100 * sp/100-loss% and then add it in S.P. of Rs. 18700

Juhi said: (Jun 23, 2011)
It is very simple. Calculate cp as: 100/100-1518700 = 22000 Calculate sp as: 22000+15/10022000 = 22000+3300 = 25300.

Dhiraj said: (Jun 27, 2011)
Yah juhi your are right.

Avijeet said: (Sep 3, 2011)
CP=10018700/(100-15)= 22000 {CP=100SP/(100-loss} SP=(100+15)22000/100=25300 {SP=(100+gain)CP/100}

M.V.Krishna/Palvancha said: (Sep 7, 2011)
Given s.p=18700,loss=15%; then c.p=s.p+loss, =>c.p=Rs.21505/- .................................... gain=s.p-c.p; gain%=(gain/c.p)100; 15=(gain/21505)100; 15=((s.p-21505)/21505)*100; If he sells the plot for 25300(option c) the gain%=17.64. to get gain% of 15% he should sell the plot for Rs.24730.75/-

Naresh Parmar said: (Sep 23, 2011)
Thanks avjit CP=10018700/(100-15)= 22000 {CP=100SP/(100-loss} SP=(100+15)22000/100=25300 {SP=(100+gain)CP/100}

Vrutti said: (Oct 5, 2011)
S.P = 18,700 loss = 15%. So,C.P = Rs.((100/85)18,700) (i.e. c.p=(100/100-loss%)s.p)) Hence,C.P = 22,000 Now, C.P = 22,000, gain Required 15% so,S.P = ((115/100)22,000)(i.e. s.p=(100+gain% /100)c.p)) Hence,S.P = 25,300

Hari said: (Nov 15, 2011)
85% of some thing is 18,700 (loss of 15%) then wats 115% of the thing (gain of 15%) (115*18700/85)

Shantanu said: (Nov 25, 2011)
Superb Explanation @SUNIL!!!

Meena said: (Dec 9, 2011)
Jegadeesh nice explanation. Thanks.

Rajkumar said: (May 3, 2012)
C.P = 100/(100-loss%) * S.P C.P = 100/(100-15) * 18700 = 22000 15% Of 22000 is 3300 since it is gain % we add 22000 + 3300 = 25300

Prateek said: (May 18, 2012)

Plot sale = Rs 18700. Let the C.P be=x. Loss=C.P-S.P. 0. 15x=x-18700. X=22000 i.e. C.P of plot = Rs 22000. To gain 15% = 15%0f 22000 = Rs 3300. So S.P = C.P+profit.

22000+3300= Rs 25300 answer.

Shashank said: (Jul 31, 2012)
Formula of C.P=(100S.P)/(100-loss%). Then C.P=10018700/100-15. =10018700/85. =22000Rs. Then S.P= 15/10022000. =25300Rs. That's the answer. clear it.

Syed Arif Ali said: (Nov 5, 2012)
S.P=18700 Loss=15% Means Assume C.P=100% S.P= C.P-loss i.e 18700= 100%-15% 18700=85% We need 115% means 15% profit 18700=85% ?= 115% i.e = 25300

Mitul said: (Jan 25, 2013)
CP=X X-X15/100=18700 >X=22000. 22000+2200015/10 =25300.

Prasanta said: (Jul 17, 2013)
Sold = 18700.00. Loss% = 15%. So CP = 100/100-%lossSP (formula). 100/100-15%18700. 100/85%18700. 100100/8518700. 10000/8518700 = 22000. 2200015%. 2200015/100 = 3300. 22000+3300 = 25300.

Namrata said: (Oct 19, 2013)
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.

Allari said: (Nov 1, 2013)
It's very easy method. 85 - 18700. 115 - ? 115*18700/85 = 25300.

Robin said: (Nov 18, 2013)
SP of a plot = 18,700. Loss = 15 %. CP of a plot = (100/100-loss) * CP. = (100/85) * 18700 = 22,000. Gain = 15 %. SP = 115% of CP. = (115/100)* 22000. = 25,300.

Wins said: (Mar 23, 2014)
18700 = 85% loss C.P. So now, 18700/85%= 220. 220 = 1%. 220*115% = 25300.

Amit said: (Jun 5, 2014)
Let C.P be x. S.P of plot =18700. Loss =15%= 85/100. S.P= (100-LOSS%)/100C.P. 18700=0.85C.P. C.P= 22000. GAIN = 15% = 115/100. C.P = 22000. S.P = ? S.P = (115/100)*22000 = 25300.

Aayush said: (Jun 13, 2014)

I hope this helps you out guys. S.P=18700(Given). Loss%=15%(given). We need to find out S.P so that the gain % becomes 15%. Gain% must be = 15%(as per question). so S.P = 115% OF C.P(Formula-derived). C.P=(100/100-LOSS%)* S.P(Formula). Note: we could have taken this formula also C.P=(100/100+GAIN%)*S.P, but for gain, S.P is NOT GIVEN so we don't use this one. C.P=(100/100-15)*18700. C.P=(100/85)*18700. C.P=22000. For gain of 15%. S.P must be= 115% of C.P (mentioned above). S.P=115/100*22000.

S.P=25300.(ANSWER).

Kiran More said: (Feb 3, 2015)
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.

John said: (Mar 27, 2015)
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 = 85/100X. 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. 115/10022000 which will be Rs. 25300.

Sajeev said: (May 27, 2015)
He is given 15% loss. So 85% is equal to 18700. = 0.85 = 18700. = 0.15 = X. Cross multiplication. Therefore X = 3300. = 18700+3300 = 22000. For 15% profit. 22000*1.15 = 25300.

Sara said: (Jun 8, 2015)
Hai. C.P = (100/(100-loss%))S.P. From question. C.P = (100/(100-15))18700. C.P = 22000. Then we need 15% gain so, 22000*(15/100) = 3300. So Cost price+Gain price = 22000+3300 = 25300.

Gaurav Sharma said: (Jun 21, 2015)
S.P = 18700. And loss = 15%. So C.P = S.P/100-loss% (as S.P = (100-loss%)C.P). Now C.P = 18700/0.85-----(1). At what price must that plot be sold in order to gain 15%? (this is our second statement). Let S.P=x. So C.P = S.P/100+gain%. Now our C.P = x/1.15------(2). Now equate 1 and second C.P. i.e x/1.15 = 18700/0.85. After solving we will get x that is S.P for second statement = 25300.

Venus said: (Aug 9, 2015)
How will we get the answer we had given that he had bought it at 4% less?

Nasar said: (Nov 3, 2015)
18700/ = is 85% not 100%. Then, 18700/85 x 100 = 22000 (No loss or profit). So, 15% profit 18700/85 x 115 = 25300.

Shakil said: (May 2, 2016)
By using the formula: C.P = 100/85 * 18700 = 22000. S.P = 115/100 * 22000 = 25300.

Lil Druk said: (Jul 15, 2016)

Old (Loss) Selling Price = 18700. Loss = 15%. Cost Price = (100/(100-15)) * 18700)// use Cost Price Formula. = (100/85) * 18700. = 22000 // Note : C.P remains same through out business New ( Gain) Cost Price = 22000// Retrieve C.P from above as C.P remains same no matter what, Gain = 15 %. Selling Price = ((100 + 15)/100) * 22000 // use S.P formula. = (115/100) * 22000. = Rs. 25300.

New selling price to gain 15% profit is Rs. 25300.

Cgyel said: (Aug 3, 2016)
The logic behind here is, SP = 18700. Loss=15%. CP= (100/ 100 - 15) * 18700. = 22000. Loss = CP - SP. 2200 - 18700. = 3300. If he wants to sell for the profit for 15%. Then 3300 * 2 = 6600. There fore 18700 + 6600 = 25300.

Adesh Anbasti said: (Aug 30, 2016)
@Juhi's answer was a very simple way to solve the problem.

Prateek Jain said: (Aug 30, 2016)
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.

Jobs said: (Oct 13, 2016)
15% loss means > sp is 85% of cp. ie cp * 0.85 = 18700. cp = 22000. For 15% profit > sp =(1 + 0.15) * cp. sp = 25300.

Praveen said: (Nov 9, 2016)
15% loss. So, 85% -------->18700 then 15% profit. 115% -------- ? ==> (115 * 18700)/85 = 25300.

Umesh Saini said: (Feb 1, 2017)
CP = 100/100-15 * 18700 = 22,000. SP = 15 + 100/100 * 22,000 = 25300.

Mukesh.Gusai said: (Jun 22, 2017)
Thanks.

Deepjit Das said: (Jul 28, 2017)
(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.

Jegan said: (Aug 6, 2017)
Easy by knowing the formula. s.p formula s.p=100-loss/100c.p so, 18700=85/100c.p 1870000=85c.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) 15220=x-22000 3300=x-22000 22000+3300=x. ANS: 25300.

Badu said: (Aug 7, 2017)
How to solve this? Please explain it to me.

Hussain said: (Jan 20, 2018)
85%of C.P =18700. then, 1% of C.P = 18700/85=220 Rs. then, 100% of C.P =220100 =22000. so to gain 15%, 115% of C.P =220115 =25300.

Aiysha Alafiya said: (Feb 15, 2018)
S.p=18700 ,loss=15%. C.p= 18700100/100-85 C.p=22000 Now find S.p with gain % S.p =(100+15)22000/100 S.p= 25300.

Vinay Gudipati said: (Jul 18, 2018)
He sells at 18700 he got a loss of 15% means, This 18700 is 85%, not 100%. Here the below information gives 1% from 18700 of 15% loss. To get 1% : 18700/85=220; Then 220 is 1%. To get 100% : 220100=22000. To get 115% : 220115=25300.

Gopi said: (Aug 21, 2018)
The formula of C.P=(100S.P)/(100-loss%). Then C.P=10018700/100-15. =100 * 18700/85. =22000Rs. Then S.P= 15/100*22000. = 25300Rs.

Nikhitha said: (Oct 10, 2018)
SP = 18700. Loss%=15. CP=(sp/100-loss)100. From the above formula, we get cp=22000. Given gain%=15. sp=(100+gain%) cp/100. We get sp = 25300.

Jitu said: (Nov 15, 2018)
Simple: 18700 at 15% loss means this is 85% of amount so, 18700/X100=85, hence 18700100=85X, x=1870000/85=22000, 22000 * 1.15 = 25300(1.15 is 15% profit).

Bashisth said: (Dec 10, 2018)
C.p * 85/100 = 18700 = 22000, C.p.=22000, S.p.=22000 * 115/100, S.p.= 25300 Ans.

Navin said: (Dec 12, 2018)
Yes, right @Bashisth.

Prabhashjha said: (Feb 20, 2019)
Consider 100% as CP. Since there is a loss of 15% then SP=85%. Thus, SP of 85%= 18700. We have to calculate the SP at which it is sold at 15% profit. Thus, (100+15)% is the SP 85% = 18700. Thus 115% = 18700 * 115/85 = 25300.

Honie said: (Apr 29, 2019)
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.

Aakash said: (May 26, 2019)
C.p = 100/8518700 = 22000. S.p = 100+15/10022000 = 25300.

Yasvanth said: (Jun 5, 2019)
SP=18700 , 15%loss=85% SP=? gain of 15%=115% (cross multiplication) That means (18700/115)*85 = 25300.

Raghavendra said: (Aug 3, 2019)
S.P is 18700 with 0.15 %loss, So c.p-sp=loss c.p=sp+loss. c.p=18700+187000.15 = 21505, SP = CP 115/100 = 25300.

Md Noorul Islam said: (Aug 9, 2019)
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.

Srijit Chakrabarty said: (Aug 28, 2019)
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.

Atul Verma said: (Jan 18, 2020)
sp = cpmf. 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 = cpmf. mf here in case of gain will be 1+0.15 = 1.15. hence sp will be = cp1.15. CP, as calculated, is 22000. SP = 220001.15 = 25300.

Indu said: (Apr 28, 2020)
Why are we considering 15% as 115? Please explain.

Swathi N S said: (May 7, 2020)
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.

Aarya said: (Jun 23, 2020)
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.

Neeraja said: (Jul 17, 2020)
Thanks @Sunil.

Aanchal said: (Jan 27, 2021)
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.

J.Sabarish said: (Feb 5, 2021)
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.

Praveenkumar V said: (May 31, 2021)

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.

Anu said: (Jun 27, 2021)

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.

Shruti said: (Jul 21, 2021)
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.

Rizwan said: (Jul 23, 2021)
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.

Divya said: (Oct 21, 2021)

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.

Albina Antony said: (Mar 20, 2022)
Well-explained. Thanks @Jagadeesh.

Jatsho said: (Apr 17, 2022)
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.

Tufayel Bd said: (Aug 19, 2022)
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 10018700/85 = 22000. Now, 15% he will get gain when the price is 22000 115% = 25300.