📌 Core Concept
The problem involves calculating profit and loss percentages. The key formulas used are:
Loss Price: Selling Price = Cost Price × (1 - Loss %)
Profit Price: Selling Price = Cost Price × (1 + Profit %)
🔢 Step-by-Step Solution
1
Determine Bina's Cost Price (CP_B):
Bina sells the product at Rs. 4860, incurring a 19% loss.
Selling Price (SP) = CP_B × (1 - 0.19) = 0.81 × CP_B
0.81 × CP_B = 4860 ⇒ CP_B = 4860 / 0.81 = 6000
2
Find Hari's Purchase Price (HPP):
If Bina sells at Hari's price, she makes a 17% profit.
Selling Price (SP) = CP_B × (1 + 0.17) = 1.17 × 6000 = 7020
Thus, Hari's Purchase Price (HPP) = 7020
3
Calculate Shyam's Profit:
Shyam bought the product from Bina for 4860 and sold it to Hari for 7020.
Profit = HPP - SP_from_Bina = 7020 - 4860 = 2160
⚡ 30-Second Shortcut
Recognize that Bina's selling price to Shyam is 81% of her cost. Calculate her cost as 4860 / 0.81 = 6000.
Determine Hari's price as 117% of Bina's cost: 6000 × 1.17 = 7020.
Subtract Shyam's purchase price (4860) from Hari's price (7020) to get the profit: 7020 - 4860 = 2160.
🎯 Final Answer
Correct Answer: 2160
