He must sell 5 toffees for 1 rupee to gain 20% profit.

Quick Scoop: What’s Going On?

A vendor buys 6 toffees for 1 rupee and wants a 20% profit. That means his selling arrangement (how many toffees per rupee) must change so that he earns a bit more on each rupee spent.

Step‑by‑Step Solution

  1. Find cost price (CP) of 1 toffee
    • He buys 6 toffees for Re. 1 ⇒
      CP of 1 toffee =16=\frac{1}{6}=61​ rupee.
  1. Include 20% profit to get selling price (SP) per toffee
    • 20% profit means SP = 120% of CP.
 * SP of 1 toffee = 120%120\%120% of 16\frac{1}{6}61​ = 120100×16=1.206=15\frac{120}{100}\times \frac{1}{6}=\frac{1.20}{6}=\frac{1}{5}100120​×61​=61.20​=51​ rupee.
  1. Convert that to “how many for a rupee?”
    • If 1 toffee costs 15\frac{1}{5}51​ rupee, then
      Number of toffees for 1 rupee =1(1/5)=5=\frac{1}{(1/5)}=5=(1/5)1​=5.

So, to earn 20% profit, he must sell 5 toffees for 1 rupee.

Tiny Story-Style Intuition

Imagine the vendor spends 1 rupee and comes back with 6 toffees. If he simply sells 6 for 1 rupee, he gets his money back but no profit. To earn extra, he must “give slightly fewer toffees” for the same 1 rupee, so each toffee is effectively sold at a higher price. Reducing the quantity from 6 to 5 per rupee is exactly what raises his effective price enough to yield that 20% gain.

Key Result in One Line

To gain 20% profit, the vendor should charge 1 rupee for 5 toffees.

Information gathered from public forums or data available on the internet and portrayed here.