Retail purchase discount and profit chain — sewing machine A retailer buys a sewing machine at a 15% discount off the wholesaler's marked (list) price and later sells it for Rs 1955, making a profit of 15% on his cost. How many rupees of discount did he actually receive from the wholesale (i.e., the rupee difference between list price and his cost price)?

Introduction / Context:
This problem links a discount off the wholesaler's list price with a later selling price and a stated profit on cost. By reversing the 15% selling profit, we can first recover the retailer's cost price and then back out the rupee discount from the list price.

Given Data / Assumptions:

• Selling price (SP) = Rs 1955.
• Profit on cost = 15%.
• Discount from list on purchase = 15% of list price.
• List price is the wholesaler's marked price.

Concept / Approach:
Compute cost price (CP) from SP and profit: CP = SP / (1 + profit%). Then use the 15% purchase discount relation CP = 0.85 * ListPrice to infer the list price and the rupee discount = ListPrice − CP.

Step-by-Step Solution:
CP = 1955 / 1.15 = 1700.Let the list price be L. Given 15% discount on L: CP = 0.85L ⇒ L = 1700 / 0.85 = 2000.Discount received = L − CP = 2000 − 1700 = 300.

Verification / Alternative check:
If cost is 1700 and profit is 15%, SP = 1700 × 1.15 = 1955 (matches). If discount is Rs 300 on a list of Rs 2000, that is 15% (consistent).

Why Other Options Are Wrong:
Rs 270, Rs 290, Rs 320, and Rs 350 do not equal 15% of the consistent list price recovered from the numbers.

Common Pitfalls:
Using 15% of SP rather than of list, or computing profit on SP instead of CP. Always reverse the profit first to get CP, then apply the discount relation to the list price.

Final Answer:
Rs 300