Question

Lemons are bought for 5 for a rupee. How many for a rupee should these be sold to gain 25 percent​

Answer 1

Answer:

each lemon should be sold for 6.25rupees

Step-by-step explanation:

Cost price of one lemon=5

25%of 5= 25/100*5=1.25

told selling price= 6.25

Answer 2

Answer:

4 lemons

Step-by-step explanation:

Let 'x' lemons be sold at ₹1 to gain 25%

CP of 5 lemons = ₹1

CP of 1 lemons = ₹1/5

CP of x lemons = ₹x/5

Given, SP of x lemons = ₹1

So SP = { (100 + gain%) / 100 } * CP

∴ 1 = { (100 + 25) / 100} * (x/5)

∴ 1 = (125/100) * (x/5)

∴ 1 = (5/4) * (x/5)

∴ x = 4 lemons.

NOTE :

The key is to make the number of quantity equal, because for any pair of equal number of quantities, the value of gain% or loss% will be same respectively and it is preferable to make it equal to the number of quantities in the unknown portion, here x. Hope it clears everyone's doubt here.