Question

A man purchases 65 dolls and decides the MRP 25% more than cost price and he offers 14% discount on cash payment and 11% discount on credit card payment. He sells 5/13 of stock on cash payment and rest of stock on credit card payment. If his overall gain is 1530 rupees then find the cost price of each doll?​

Answer 1

Answer:

Cost Price of each doll = Rs 240

Step-by-step explanation:

Let say cost Price of each doll = Rs C

MRP = C + (25/100)C = 1.25C  Rs

Total Dolls = 65

Cost Price of 65 Dolls = 65C Rs

Sold on Cash = (5/13)*65 = 25

Sold on Credit card = 65 - 25 = 40

Selling Price of sold on cash = 1.25C - (14/100)(1.25C)  = 1.25C * 0.86 = 1.075C

Selling Price of 25 Dolls = 25 * 1.075C = 26.875 C   Rs

Selling Price of sold on Credit card = 1.25C - (11/100)(1.25C)  = 1.25C * 0.89 = 1.1125C

Selling Price of 40 Dolls = 40 * 1.125C = 44.5 C  Rs

Total Selling Price = 26.875C + 44.5C  = 71.375 C  Rs

Profit = 71.375C - 65C = Rs 6.375C

Profit = Rs 1530

6.375C = 1530

=> C = 240

Cost Price of each doll = Rs 240