CBSE 8 - Maths
Math
Asked by anuragsinghwzj | 01 Apr, 2022, 11:19: AM
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%? | |||||||||||||
Answer: Option C Explanation:
85 : 18700 = 115 : x
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=? ? = ( 18700*115 )/85 = 220*115 = 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% : 220*100=22000.
To get 115% : 220*115=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: 100/100-15*18700 = 22000
Calculate sp as: 22000+15/100*22000 = 22000+3300 = 25300. |
| Dhiraj said: (Jun 27, 2011) | |
| Yah juhi your are right. |
| Avijeet said: (Sep 3, 2011) | |
| CP=100*18700/(100-15)= 22000 {CP=100*SP/(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=100*18700/(100-15)= 22000 {CP=100*SP/(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=(100*S.P)/(100-loss%). Then C.P=100*18700/100-15. =100*18700/85. =22000Rs. Then S.P= 15/100*22000. =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-X*15/100=18700
>X=22000. 22000+22000*15/10 =25300. |
| Prasanta said: (Jul 17, 2013) | |
| Sold = 18700.00. Loss% = 15%. So CP = 100/100-%loss*SP (formula). 100/100-15%*18700. 100/85%*18700. 100*100/85*18700. 10000/85*18700 = 22000. 22000*15%. 22000*15/100 = 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%)/100*C.P.
18700=0.85*C.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 = 85/100*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. |
| 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/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. |
| 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 =220*100 =22000.
so to gain 15%, 115% of C.P =220*115 =25300. |
| Aiysha Alafiya said: (Feb 15, 2018) | |
| S.p=18700 ,loss=15%.
C.p= 18700*100/100-85 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% : 220*100=22000. To get 115% : 220*115=25300. |
| Gopi said: (Aug 21, 2018) | |
| The formula of C.P=(100*S.P)/(100-loss%).
Then C.P=100*18700/100-15.
=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/X*100=85,
hence 18700*100=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 = 100/85*18700 = 22000. S.p = 100+15/100*22000 = 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+18700*0.15 = 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 = 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. |
| 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 100*18700/85 = 22000. Now, 15% he will get gain when the price is 22000 * 115% = 25300. |