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 9 of 22.
                
                        Damodar Narayan said: 
                         
                        1 decade ago
                
                RS. 1     -------> 6 TOFFEES.
RS. 10 -------> 60.
20% 0F 10 -------> 20% OF 60.
       
2 -------> 12.
       
12 * 5 = 60 i.e for a rupee he sell 5 Toffees to gain 20%.
Similarly A vendor bought toffees at 3 for a rupee. How many for a rupee must he sell to gain 50%?
RS. 1 -------> 3 TOFFEES.
RS. 10 -------> 30.
50% 0F 10 -------> 50% OF 30.
5 -------> 15.
15 * 2 = 30 i.e for a rupee he sell 2 Toffees to gain 50%.
                RS. 10 -------> 60.
20% 0F 10 -------> 20% OF 60.
2 -------> 12.
12 * 5 = 60 i.e for a rupee he sell 5 Toffees to gain 20%.
Similarly A vendor bought toffees at 3 for a rupee. How many for a rupee must he sell to gain 50%?
RS. 1 -------> 3 TOFFEES.
RS. 10 -------> 30.
50% 0F 10 -------> 50% OF 30.
5 -------> 15.
15 * 2 = 30 i.e for a rupee he sell 2 Toffees to gain 50%.
                        Muruga said: 
                         
                        1 decade ago
                
                Hi, selling price of 6 toffees = 6/5. OK. And then next step I can't understood help me.
                
                        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.
                        Abhinavsinghrajput said: 
                         
                        1 decade ago
                
                Here is a simple explanation.
Given:
For Rs.1 = 6 toffees.
After profit of 20%.
For Rs 1.2 = 6 toffees
Let for rs.1 = x toffees
Cross multiply,
1.2x = 6.
Which gives x=5 :).
                Given:
For Rs.1 = 6 toffees.
After profit of 20%.
For Rs 1.2 = 6 toffees
Let for rs.1 = x toffees
Cross multiply,
1.2x = 6.
Which gives x=5 :).
                        Vasavi kotha said: 
                         
                        1 decade ago
                
                In Question they didn't mention profit is 20%. Then how everyone telling profit is 20%. Please answer my question. And explain the solution in another method if possible?
                
                        Rabia said: 
                         
                        1 decade ago
                
                Let x be taken as 1 rupee :
C.P of 6 toffees = x.
S.P of 6 toffees = 120% of x.
S.P of 6 = 6/5x.
Now 6 * 5/6 = x.
5 = x.
                C.P of 6 toffees = x.
S.P of 6 toffees = 120% of x.
S.P of 6 = 6/5x.
Now 6 * 5/6 = x.
5 = x.
                        Lavanya said: 
                         
                        1 decade ago
                
                Easy way:
Formula:- p% = p*100/c.p.
20 = p*100/1.
p = 20/100 = 1/5.
i.e for rs.1 5 toffees.
                Formula:- p% = p*100/c.p.
20 = p*100/1.
p = 20/100 = 1/5.
i.e for rs.1 5 toffees.
                        Raja ab said: 
                         
                        1 decade ago
                
                It is simple the 20 % profit on 6 toffees 6*20/100 = 6/5 very simple.
                
                        Thippesh said: 
                         
                        1 decade ago
                
                Take 1 Rupee=100% so Rq gain = 20 therefore gain =100/20= 5 so. Do like this many problems and ex: if 15 Rs then multiply into 100 1500/20.
                
                        B.vinoth said: 
                         
                        1 decade ago
                
                I have doubt.
I take each toffee one rupee,
Profit=20%.
Then,
SP-CP/CP *100=20%,
SP=7.2 Rs,
How to relate with this question?
                I take each toffee one rupee,
Profit=20%.
Then,
SP-CP/CP *100=20%,
SP=7.2 Rs,
How to relate with this question?
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