Aptitude - Profit and Loss - Discussion

11. 

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

[A]. Rs. 45
[B]. Rs. 50
[C]. Rs. 55
[D]. Rs. 60

Answer: Option D

Explanation:

(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = Rs.720.

C.P. of 1 ball = Rs. 720 = Rs. 60.
12


Srii said: (Dec 20, 2010)  
How can C.P of 12 balls = S.P of 12 balls?

Raghav said: (Jan 14, 2011)  
IT IS SP of 17 balls,not 12 balls!!!!!

Khushi said: (Feb 15, 2011)  
SP of 17 balls will be subtracted CP of 5 balls. Because there is a loss equal to 5 balls in selling of 17 balls.

Manasa said: (Feb 20, 2011)  
Consider cp of 1 ball =x
for 17 balls=17x;
loss=cp-sp(here 17balls cost price-17balls selling price)
i.e 17x-720;
for 5 balls cp is 5x;
in the question he give 17 balls loss=cp of 5 balls
i.e 17x-720=5x;
17x-5x=720;
12x=720;
x=720/12;
x=60.

Soni said: (May 25, 2011)  
Thank you Manasa.

Kiran said: (Jun 22, 2011)  
Why it cann't be solved like this:

Loss = CP-SP
Acc to the ques
SP is given for 17 balls i.e 720
So SP of 1 ball = 720/12
let cp of 1 ball = x
loss = 5x (loss equals to the cp of 5 balls)
5x=x-720/17
5x = 17x-720/17
5x-17x= 720/17
12x = 720/17
x=???

Amrendra said: (Jun 23, 2011)  
Manasa is right.

Jyoti said: (Jul 20, 2011)  
Thank you manasa.

Quant said: (Aug 8, 2011)  
Yeah manasa you are right.

Sujeet said: (Aug 29, 2011)  
Manasa's Answer is Correct

Anil said: (Sep 2, 2011)  
Loss = CP-SP
Acc to the ques
SP is given for 17 balls i.e 720
So SP of 1 ball = 720/12
let cp of 1 ball = x
loss = 5x (loss equals to the cp of 5 balls)
5x/17=x-720/17(loss for 17 balls)
5x/17 = (17x-720)/17
5x=17x-720
12x = 720
x=720/12
x=60

Swetha said: (Sep 2, 2011)  
Anil.. one doubt for me.

i clear about this problem., but in your explanation u said that SP is given for 17 balls = 720
So SP of 1 ball = 720/12
How it came?
SP of 1 ball = 720/17 na?

Srikanth said: (Oct 13, 2011)  
I agree with manasa

Hema said: (Dec 26, 2011)  
Let cost price of 1 ball=x
then cost price of 17 balls=17x
loss is equal to 5 balls cost price(given in problem)=5x
selling price=c.p-loss=17x-5x=12x
but original selling price=720
.
. . 12x=720
x=60
c.p of 1 ball=60

Manoj S. said: (Aug 7, 2012)  
We know,

CP-SP = loss.

Assume CP of 1 ball is Rs x.

17*x-720=5*x.

12*x=720.

X=60.

Nikhl said: (Aug 21, 2012)  
@kiran your logic is incorrect.

Jitendra said: (Oct 16, 2012)  
Its given.
(CP*17) - (SP*17) = (CP*5) its loss.
Selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls.

Now consider 1 ball's cost is "x".
(x*17) - (720) = (x*5).
17x-720=5x.
17x-5x=720.
12x=720.
x=720/12.
X=60.

Akshay said: (Nov 21, 2012)  
Loss =CP - SP
let x be CP of one ball.
Hence CP of 17 balls = 17x
Given: Loss = CP of 5 balls = 5x
SP of 17 balls = 720 and

Now Loss = CP - SP
i.e 5x = 17x - 720
-12x=-720
x= 60

Avnish said: (Jul 30, 2013)  
Let us assume C. P of 5 balls be 'c'.

Then C.P of 17 balls 17c/5.

NOW, LOSS=C.P of 5 balls.

i.e., (C.P of 17 balls) - (S.P of 17 balls) = C.P of 5 balls.

(17c/5) - (720) = c.

(or) c = 300.

Any queries are welcomed ?

Murali said: (Sep 20, 2013)  
Let the C. P of 17 balls be x.

C. P of 1 ball is x/17.

S. P of 17 ball is 720.

S. P of 1 ball is 720/17.

Loss = (x/17) *5 (given loss = C. P of 5 balls).

Given in the problem.

5x/17 = x-720/17.

(formula:loss = C. P - S. P).

x = 1020.

Therefore C. P of 1 ball is x/17 = 60.

Shravani said: (Jan 26, 2014)  
How could you take cp-sp=cp?

Sushmita said: (Feb 6, 2014)  
We can also solve it as:

Let the CP of 1 ball be x. then,
CP of 17 balls will be 17x.

Given that: loss=CP of 5 balls i.e. 5x.
Therefore, CP-SP=loss =>17x-720=5x=>x=Rs 60.

Krunal said: (Apr 10, 2014)  
SP = CP*(loss)or(gain)%.
SP = 720;
CP = x;

loss = 5 of CP = 5 (x);
720 = x*5x;
5x*x = 720;
x^2 = 144;
x = 12;

720/12 = 60.

Atul1487 said: (Apr 23, 2014)  
@Murali.

You are incorrect.
As acc to you.

Given in the problem.
5x/17 = x-720/17.

But actual is.
5x/17 = x/17-720/17.

Now you will get incorrect answer.

Yaghu said: (Feb 5, 2015)  
Let C.P for 1 ball = x;
S.P for 1 ball is = 720/17;

Loss = C.P of 5 balls = 5x (5x is overall loss).
For loss in 1 ball = 5x/17 .

Therefore,

C.P - S.P = loss(for 1 ball).
x-720/17 = 5x/17.

x = 60.

Sush said: (Feb 18, 2015)  
Cost of 1 ball = x.

Cost of 17 ball = 17x.

Selling price of 17 ball = 720.

Loss = 5x where x is price of 1 ball.

Loss = cp - sp.

5x = 17x - 720.

x = 60.

Tina said: (Feb 20, 2015)  
In the question, it is given the that on selling 17 balls at rs 720, the loss is equal to cost prize of 5 balls, but why have we subtracted it from cost prize of 17 balls when it is no where mentioned in the question ?

Ramesh Yadav said: (Jul 3, 2015)  
@Tina.

Observing this question you find that he say.

Selling of 17 balls Rs. 720 is equal to the loss of cost prize of 5 balls. Then we find that.

Let us suppose C.P. is x.

Then C.P. of 17 balls - S.P. of 17 balls = C.P. of 5 ball.

17x-720 = 5x.

Then 12x = 720.

x = 720/12.
x = 60.

Reja said: (Aug 22, 2015)  
Any one may explain in a simple form?

Baskar said: (Aug 22, 2015)  
Loss = C.P-S.P.

From given: S.P of 17 balls = 720 R.S.

Loss = C.P of 5 balls.

From 1st equation.

C.P of 5 balls = C.P of 17 balls - S.P of 17 balls.

Let C.P of 1 ball = x.

5x = 17x-720.
12x = 720.
x = 60.

Sunny said: (Aug 29, 2015)  
How C.P. of 12 balls?

Ankit Ardeshana said: (Sep 6, 2015)  
Loss for 17 balls = cp of 5 balls.

=> cp of 17 balls - sp of 17 balls = cp of 5 balls.

=> (cp of 17 balls - cp of 5 balls) = sp of 17 balls.

But sp of 17 balls = 720.

=>cp of 12 balls = 720.

=>cp of 1 ball = 720/12 = 60.

Sikandar said: (Sep 13, 2015)  
17 C.P-17 S.P = 5 C.P.

12 C.P = 17 C.P > 17 C.P = 720.

12 C.P = 720.

C.P = 60.

Avijit said: (Sep 14, 2015)  
Let C.P is x then.

According to question condition of loss.

(C.P of 17 balls) - (S.P of 17 balls) = (C.P of 5 balls).

=> (17*x) - 720 = (5*x).

=> 17x - 5x =720.

=> 12x = 720.

x = 720/12.

=> x = 60.

Mahnoor said: (Sep 25, 2015)  
@Sunny.

We will subtract the balls 17-5 = 12.

Hope you got it.

Tarun said: (Dec 12, 2015)  
More easy: 17-5 = 12.

And 720/12 = 60.

Uma said: (Mar 18, 2016)  
C.P of 17 balls = x.

Loss = C.P of 5 balls.
1 ball C.P is x/17.
5 balls C.P is 5x/17.
Loss = 5x/17.

17 balls C.P = 17 balls S.P+Loss.

x = 720+5x/17.
12x = 720*17.
x = 60*17.

Then each ball price is (x/17) = ((60*17)/17) = 60.

Ram Prakash said: (Apr 9, 2016)  
Can anyone tell me the short tricks to find the answer to this question?

Rita said: (May 27, 2016)  
Here we found Loss.

So Equation is Loss = CP - SP (but in case of profit -> Profit = SP - CP).

Loss (CP of 5 balls) = CP (CP of 17 balls) - SP (SP of 17 balls).
(Cost of 1 Ball) * 5 = 17 - 720.
(Cost of 1 Ball) * 5 - 17 = - 720.
(Cost of 1 Ball) - 12=- 720 =720/12 =60.

So, Cost of 1 ball is Rs. 60.

Pawar Upendra Dinesh said: (Jul 4, 2016)  
Nice explanations, clear to understand.

Paras Kohli said: (Aug 30, 2016)  
Here the cost price we have got 60 and its selling price is also 60. So how loss is possible?

Mgnvprasad said: (Oct 12, 2016)  
17 balls selling we get 720.
Good.but loss is there, we don't know. It was given that out of 5 balls equals to loss c.p. i.e subtract 17 from 5 = 12, I want c.p of each ball so, 720/12 = 60.

Hari said: (Oct 22, 2016)  
Nice explanation @Tarun.

Aashritha said: (Nov 8, 2016)  
I didn't understand this, kindly give simple examples.

Sonu said: (Nov 25, 2016)  
Hi, can anyone help me by solving this problem?

If the cost price of 10 chairs is equal to the selling price of 16 chairs, then the loss percent is?

a) 37.5%
b) 20%
c) 9.6%
d) 17.5%

Md. Mahbubur Rahman said: (Dec 12, 2016)  
cp of 17 balls = 720 + cp of 5 balls,
cp of 17 balls - cp of 5 balls = 720,
cp of 12 balls = 720,
cp of 1 ball = 720/12,
So, cp of 1 ball = 60.

Kanchan said: (Dec 13, 2016)  
Nice explanations. Thank you all.

Bhagesh said: (Dec 22, 2016)  
Thank you all for explaining the solution.

Prasad said: (Dec 30, 2016)  
Thank you for explaining it properly @Manasa.

Hosanna said: (Feb 16, 2017)  
Guys!
Check the question, how much did they sell 17 balls for?? Rs.720? Correct.

So now you know how much 17 balls cost, which is 720 bucks.
17=720.

Now,
when you sell 17 balls for 720 rupees, but the question clearly says you face a loss of '5 balls profit'.

How come? So how much does a ball exactly cost?

Lets do one thing,

Selling 17 for 720 but the loss of 5, we will minus the 5 with the 17, so,

17-5 = 12.
12 is our profit for 720. which is, 720=12!!

So,
Cost of 1 ball *12=720
Cost of 1 ball = 720/12
Cost of 1 ball = 60.

Dhruv said: (Mar 17, 2017)  
Well said @Akshay.

Bheemangoud K said: (May 23, 2017)  
Your method is easy to understand, thanks @Hema.

Akshay said: (Jul 9, 2017)  
let CP of a ball x.
loss= CP - SP.
5x= 17x - 720,
x=60.

Sanket said: (Jul 19, 2017)  
Let cp for 1 ball = x rs.
sp for 1 ball =720/17 rs.

***please note***(for 17 balls, loss = 5x therefore loss behind 1 ball = 5x/17)
Now, loss over 1 ball = c.p. over 1 ball - sp over 1 ball.
5x/17 = x - 720/17,
x = 60.

Sai Reddy said: (Jul 24, 2017)  
17(cp-720) = 5cp,
cp = 60.

Sanjayade said: (Jul 31, 2017)  
Thank you all for explaining properly.

Satyam said: (Aug 10, 2017)  
Thanks @Manasa.

Md.Iftekhar said: (Oct 7, 2017)  
Thanks alot @Manasa.

Ashish said: (Nov 25, 2017)  
Let,

Each Ball cost of price x.
We know,
Cost price - selling price = loss.

17x- 720= 5x,
Or, 17x - 5x= 720,
Or, 12x= 720,
Or, x=720 ÷ 12.
0r, x=60,
So, x=tk 60 cost of each ball.

Shyam said: (Jan 23, 2018)  
Thanks @Manasa!

Bhavesh said: (Feb 10, 2018)  
Thanka @Manasa.

Sabina said: (Apr 8, 2018)  
Thanks @Manasa.

Abhay Singh said: (Apr 17, 2018)  
Thanks @Ashish.

Nurun Nobi Khokon said: (May 28, 2018)  
Let,
Cost price of 1 ball is x.
so, cost price of 5 balls = 5x,
and cost price of 17 balls = 17x.

In case of selling goods at loss,
Selling price+loss= Cost price.
=> 720+5x = 17x.
=> 12x = 720.
=> x = 60.

Ans: Cost price of each ball is 60.

Nikhil Wanve said: (Jun 7, 2018)  
Simply we can say that;

CP for 1 ball=x,
CP for 17 ball=17x,
SP for 17 ball=720.
Loss= CP - SP.

5x(overall)=17x-720,
X=60 price for each ball.

Bablu said: (Jul 7, 2018)  
Well said @Manasa.

Prateek said: (Jul 23, 2018)  
Excellent explanation, Thanks @Manasa.

Namrata Tiwari said: (Sep 15, 2018)  
I agree with you, Thanks @Manasa.

Mounika Yadav said: (Oct 6, 2018)  
Thanks @Manasa.

Anwar Shaik said: (Feb 14, 2019)  
From the given info by adding 5 balls cp to the 17 balls sp which is 720, we will get cp of 17 balls.

Let X be cp of one ball.
= 720+5x = 17x,
12x = 720,
X = 60.

Atif said: (Feb 26, 2019)  
@Kiran.

It is 720/17 not 720/12 for the S. P of 1 ball.

Govinda said: (Apr 26, 2019)  
loss% = cp - sp/cp.

15/100= (x-18700)/x.
15x = 100x-1870000.
x(cp)=22000.

Again have to gain profit 15%.
sp=22000*115%.
====> 25300.

Pranati said: (May 8, 2019)  
Thanks @Manasa.

Rohan Kumbhar said: (Aug 3, 2019)  
Cp * profit = sp.
Suppose , cp of 17 ball = X.
From condition:
X * (X÷5)=720.
X= 60.

Bhargav said: (Aug 18, 2019)  
Consider CP of 1 ball is X.

For 17 balls, CP is 17X.
Loss = CP-SP.
i.e;17X - 720.
Loss = 5X.
5X = 17X-720,
12X = 720,
X = 60.

Nagarjuna said: (Feb 4, 2020)  
By verifying the options 1 ball.

17 balls -5 balls =720.

Dofari said: (May 3, 2020)  
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)
C.P. of 12 balls = S.P. of 17 balls = Rs.720.
C.P. of 1 ball = Rs. 720/12 = Rs. 60.

Potter said: (Oct 20, 2020)  
SP of 17 balls = Rs.720.
CP 1 ball = x,
CP 17 balls = 17x.
CP - SP = loss.
17x - 720 = 5x.
12x = 720.
x = 60.

Eswar said: (Oct 27, 2020)  
Yes, you are right @Potter.

Nancy said: (Apr 11, 2021)  
SP of 17 balls = Rs 720.
CP of 17 balls = SP of 17 balls = CP of 5 balls (given).

Now simplify;
CP = 17-5= 12,
So, CP of 12 balls = SP of 17 balls = 720,
CP of 1 ball = 720/12 = 60.

Prasad said: (Jun 5, 2021)  
Thanks for the explanation @Manasa.

Sowmiya said: (Jul 4, 2021)  
Thanks @Manasa!

Rupesh Patil said: (Jul 7, 2021)  
Simplest ans:

CP - SP = Loss.

Assuming x = CP of 1 ball.
(x * 17) - 720 = 5x.
x = 60.

Kusum said: (Aug 10, 2021)  
Thanks @Manasa.

Mohamed Abdul Raseeth said: (Aug 27, 2021)  
Thanks for explaining @Manasa.

Aksh Sharma said: (Sep 1, 2021)  
Convert it to ratio for simplification.
S.p of ball : cp of balls.
17 : 5.

Loss then 17-5 = 12,
= 720/12,
= 60.

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