A vendor bought banana's at 6 for a rupee. How many for a rupee must he sell to gain 20% gain?
Answers
Step-by-step explanation: IN Simple Terms ,
HINT - In order to solve to this problem, we must choose formula of Gain percent = (selling price - cost price)cost price×100 along with the proper understanding of the unitary method.
Complete step-by-step answer:
It is given that cost price of 6 toffees =Rs.1
So by unitary method
So cost price of 1 banana will be equal to Rs. 16
To get gain of 20%
Using formula of Gain percent = (selling price - cost price)cost price×100
Selling price of 1 banana will be equal to
20 = (selling price - 16)16×100
On cross multiplication
20100 ×16 = (selling price of 1 banana) - 16
On further solving
=15 ×16 = (selling price o 1 banana) - 16
=15 ×16 + 16 = (selling price of 1 banana)
=16 (1 + 15) = (selling price of 1 banana)
= (selling price of 1 banana) = 16×(65)
= (selling price of 1 banana) = (15)
Rs.
∵selling price of 1 banana will be Rs. 15
By unitary method
∴selling price of 5 banana will be Rs. 1
Hence we can say that for gain of 20%, selling price of 5 banana will be Rs. 1
In other words, he must sell 5 toffees for a rupee to gain 20%.
Hence Option C is correct.
Note-
Whenever we face such type of problems the key concept we have to remember is that always remember how to calculate gain percentage which is stated above, then applying unitary method (which is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value), we can get the required answer.