Question

A shopkeeper selling of 18.18% on his marked price. Further, owing to persistent bargaining by a customer, he offered x mangoes free for every 60 mangoes purchased by the customer and still made an overall profit of 20/3 % in the transaction. Find the value of x, If the apples were marked at 76% more than their cost price.

Answer 1

Answer:

21 Fruits offered Free

Step-by-step explanation:

Let say Cost Price of Fruit per Pc =  Rs C

Marked Price = C + (76/100)C = 1.76C

Selling Price = 1.76C - (18.18/100)*1.76C = (1.76 * 0.8182)C  Rs

for every 60 fruits , x fruits are offered frees

=> cost Price = (60 + x)C

Profit = 20/3 %  = (20/300) * (60 + x)C  =  (60 + x)C /15

Selling Price = (60 + x)C + (60 + x)C /15   = 16(60 + x)C /15

Selling Price = 60 * (1.76 * 0.8182)C = 86.4C

16(60 + x)C /15 = 86.4C

=> 60 + x = 81

=> x = 21

21 Fruits offered Free