A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Answers
5 toffees.
Use unitary method
CP of 1 toffee = ₹1/6
P% = 20%
SP = CP + (P% of CP)
SP of 1 toffee = ₹ 1/5
=> No. Of toffees to be sold in ₹1 = 5
Hope you get it ^_^
Answer:
Explanation:
It is given that cost price of 6 toffees =Rs.1
So by unitary method
So cost price of 1 toffee 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 toffee will be equal to
20 = (selling price - 16)16×100
On cross multiplication
20100 ×16 = (selling price of 1 toffee) - 16
On further solving
=15 ×16 = (selling price o 1 toffee) - 16
=15 ×16 + 16 = (selling price of 1 toffee)
=16 (1 + 15) = (selling price of 1 toffee)
= (selling price of 1 toffee) = 16×(65)
= (selling price of 1 toffee) = (15)
Rs.
∵selling price of 1 toffee will be Rs. 15
By unitary method
∴selling price of 5 toffees will be Rs. 1
Hence we can say that for gain of 20%, selling price of 5 toffees will be Rs. 1
In other words, he must sell 5 toffees for a rupee to gain 20%.
Hence Option C is correct.