Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 5)
5.
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Answer: Option
Explanation:
C.P. of 6 toffees = Re. 1
| S.P. of 6 toffees = 120% of Re. 1 = Rs. | 6 |
| 5 |
| For Rs. | 6 | , toffees sold = 6. |
| 5 |
| For Re. 1, toffees sold = |  |
6 x | 5 |  |
= 5. |
| 6 |
Video Explanation: https://youtu.be/7wKrnZ0LKA8
Discussion:
211 comments Page 2 of 22.
Arjun said:
9 years ago
6 toffee = 1rs -> 1 toffee = 1/6 rs.
x toffee = 1 rs -> 1 toffee = 1/x rs.
P = s.p - c.p.
=> 1/x - 1/6,
=>(6 - x)/6x.
This is the profit on 1/6 rs. But here mentioned in the question about "how many for a rupee).
So we multiply this profit value by 6 to make 1/6 rs -> 1 rs.....
=> (6 - x) * 6/6x = (6 - x)/x.
P% = (P/c.p) * 100.
P% = 20.
20 = ((6 - x)/x) * 100,
x = (6-x) * 5,
x = 30 - 5x,
6x = 30,
x = 5.
x toffee = 1 rs -> 1 toffee = 1/x rs.
P = s.p - c.p.
=> 1/x - 1/6,
=>(6 - x)/6x.
This is the profit on 1/6 rs. But here mentioned in the question about "how many for a rupee).
So we multiply this profit value by 6 to make 1/6 rs -> 1 rs.....
=> (6 - x) * 6/6x = (6 - x)/x.
P% = (P/c.p) * 100.
P% = 20.
20 = ((6 - x)/x) * 100,
x = (6-x) * 5,
x = 30 - 5x,
6x = 30,
x = 5.
Khadarbaba said:
9 years ago
@Prasanth.
In problem, profit is 20%.
For 1 Re. he bought 6 toffees
And he need to gain 20% profit.
Profit is always calculated on cost price.
20% of 1Re. is 0.2
So, he need to sell those toffees at 1.2 Re. to get 20% profit.
But, he asked how many he need to sell for 1 Re.,
For 1.2 Re., he sells 6 toffees; so, For 1 Re. he sells = (6*10)/12=5 [cross multiplication]
I hope you will understood now.
In problem, profit is 20%.
For 1 Re. he bought 6 toffees
And he need to gain 20% profit.
Profit is always calculated on cost price.
20% of 1Re. is 0.2
So, he need to sell those toffees at 1.2 Re. to get 20% profit.
But, he asked how many he need to sell for 1 Re.,
For 1.2 Re., he sells 6 toffees; so, For 1 Re. he sells = (6*10)/12=5 [cross multiplication]
I hope you will understood now.
Farooq Hussain said:
2 years ago
Correction:
The question has some typographical mistake and should be read as;
"A vendor sold toffees at 6 for a rupee. Find the cost price in order to gain a profit of 20%?
Solution: Let the cost price =x
Then;
Cost price Selling price
100 120
x 6
By cross-multiplication we get;
x = (100x6)/120,
x = 5 (Ans).
6 * 100/120 = 5.
The question has some typographical mistake and should be read as;
"A vendor sold toffees at 6 for a rupee. Find the cost price in order to gain a profit of 20%?
Solution: Let the cost price =x
Then;
Cost price Selling price
100 120
x 6
By cross-multiplication we get;
x = (100x6)/120,
x = 5 (Ans).
6 * 100/120 = 5.
(49)
Reena said:
2 years ago
6 Toffees -> ₹1
1 Toffee -> ? ---->(1)
Let's say 1 toffee is 'x'.
Then 6x = 1 [Cross Multiplication from (1)].
Cost Price is 1/6.
Gain = 20%.
Sp = ?.
20/100 * CP = SP - CP.
1/30 = SP - 1/6,
6/30 = 6SP - 1,
SP = 1/5.
SP is 1/5 ie, one toffee is ₹0.20 or 1/5.
Then how many Toffees can we get for one rupee is the question ie 5 Toffees.
Therefore Ans: 5 Toffees.
1 Toffee -> ? ---->(1)
Let's say 1 toffee is 'x'.
Then 6x = 1 [Cross Multiplication from (1)].
Cost Price is 1/6.
Gain = 20%.
Sp = ?.
20/100 * CP = SP - CP.
1/30 = SP - 1/6,
6/30 = 6SP - 1,
SP = 1/5.
SP is 1/5 ie, one toffee is ₹0.20 or 1/5.
Then how many Toffees can we get for one rupee is the question ie 5 Toffees.
Therefore Ans: 5 Toffees.
(50)
Javid Mir said:
1 decade ago
C.P= 1.
Gain%=20.
We know, Gain%=Gain*100/C.P,
20=gain*100/1,
Or, gain=20/100,
Gain=1/5.
But gain=S.P-C.P.
Or S.P=gain+C.P.
S.P=1/5+1.
S.P=6/5 Rs.
i.e. We have to sold 6 No. for S.P 6/5.
But since we have to calculate how many we have to sell for Rs.1.
Therefore, for Rs.6/5 we will sold = 6 toffees.
For Rs.1 we will sold = 6/6/5.
Or 6x5/6=5 answer.
Gain%=20.
We know, Gain%=Gain*100/C.P,
20=gain*100/1,
Or, gain=20/100,
Gain=1/5.
But gain=S.P-C.P.
Or S.P=gain+C.P.
S.P=1/5+1.
S.P=6/5 Rs.
i.e. We have to sold 6 No. for S.P 6/5.
But since we have to calculate how many we have to sell for Rs.1.
Therefore, for Rs.6/5 we will sold = 6 toffees.
For Rs.1 we will sold = 6/6/5.
Or 6x5/6=5 answer.
Roji said:
1 decade ago
Friends I solved in this manner:
Vendor bought at 6 for a rupee i.e.,6 c.p = 1Rs.
=>1 c.p = 1/6 Rs.
Given as, he must sell to gain 20% i.e., s.p = 120% of c.p.
=>(120/100)*(1/6).
=>1/5.
i.e., for 1 Rs, he bought 5 toffees.
Vendor bought at 6 for a rupee i.e.,6 c.p = 1Rs.
=>1 c.p = 1/6 Rs.
Given as, he must sell to gain 20% i.e., s.p = 120% of c.p.
=>(120/100)*(1/6).
=>1/5.
i.e., for 1 Rs, he bought 5 toffees.
Krittika said:
9 years ago
Hi! Actually, I wanted to ask " if we have to divide 100 rs. In two persons, so as one person will get 1 rs. Extra how we can divide it ?".
I answered that we should divide it in 49 and 51 rs.
But my teacher said it's wrong he answered that in something points.
Will tell me why its answer was not that? Please explain the solution.
Thanks.
I answered that we should divide it in 49 and 51 rs.
But my teacher said it's wrong he answered that in something points.
Will tell me why its answer was not that? Please explain the solution.
Thanks.
Dadasaheb said:
1 decade ago
6 toffees for 1 Rs.
So the C.P. of 1 toffee=1/6 Rs.
Gain%=(gain*100)/C.P.
Now given gain%=20.
So,
20=(gain*100)/(1/6)
20*(1/6)=(gain*100).
20/6=gain*100
10/3=gain*100
10/300=gain
1/30=gain.
Now,
Gain=S.P.-C.P
1/30=S.P.-1/6
1/30+1/6=S.P.
(1+5)/30=S.P.
1/5=S.P.
S.P.=1/5 R.S.
Therefore,
S.P. of 5 toffees is 1 Rs.
So Answer is 5 toffees.
So the C.P. of 1 toffee=1/6 Rs.
Gain%=(gain*100)/C.P.
Now given gain%=20.
So,
20=(gain*100)/(1/6)
20*(1/6)=(gain*100).
20/6=gain*100
10/3=gain*100
10/300=gain
1/30=gain.
Now,
Gain=S.P.-C.P
1/30=S.P.-1/6
1/30+1/6=S.P.
(1+5)/30=S.P.
1/5=S.P.
S.P.=1/5 R.S.
Therefore,
S.P. of 5 toffees is 1 Rs.
So Answer is 5 toffees.
Ashish Verma said:
1 decade ago
What would be the answer if I have given 20 Rupees I need to purchase 06 thing. All 06 thing total price should be 20.
Condition there should not be any thing in 0 OR decimals & less than 1 rupees and number should not be repeated mean if I have bought anything in price of 02 rupees than I can not purchase again anything in 02 Rupees.
Condition there should not be any thing in 0 OR decimals & less than 1 rupees and number should not be repeated mean if I have bought anything in price of 02 rupees than I can not purchase again anything in 02 Rupees.
Bhargav said:
1 decade ago
Guys I think this may be simple for you.
Given 1 rupee = 6 toffees.
So to avoid complexions in calculations.
Let's multiply with 100 on both side.
100 rupees = 600 toffees.
Given profit = 20%.
Sp = Cp+P.
Sp = 100+20.
Sp = 120.
Now, no of toffees = 600/120 = 5.
Hope that you can understand easily. Thank you guys. All the best.
Given 1 rupee = 6 toffees.
So to avoid complexions in calculations.
Let's multiply with 100 on both side.
100 rupees = 600 toffees.
Given profit = 20%.
Sp = Cp+P.
Sp = 100+20.
Sp = 120.
Now, no of toffees = 600/120 = 5.
Hope that you can understand easily. Thank you guys. All the best.
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