By selling some goods at Rs 31, a salesman loses 7% on his output. Find the % profit or loss, when he sells the same at Rs 35?

If the cost is x,

.93x = 31
x = 33.33

Profit at Rs 35 = 1.167 = 3.5%

5% profit

To find the percentage profit or loss, we need to compare the selling price with the cost price.

Given:
Selling price of goods = Rs 31
Loss percentage = 7%

Step 1: Calculate the cost price (CP) of the goods.
Let's assume the cost price is 'x' Rs.

Loss = Selling price - Cost price
7% of CP = 31 - CP
0.07x = 31 - x

Simplifying the equation, we get:
0.07x + x = 31
1.07x = 31
x = 31 / 1.07
x ≈ 29.03

Therefore, the cost price (CP) is approximately Rs 29.03.

Step 2: Calculate the selling price (SP) when the goods are sold at Rs 35.
Given:
New selling price = Rs 35

Step 3: Determine the profit or loss percentage.
Profit/Loss = (Selling price - Cost price) / Cost price * 100

Profit/Loss = (35 - 29.03) / 29.03 * 100
Profit/Loss ≈ 20.5

Therefore, the salesman will have a profit of approximately 20.5% when he sells the goods at Rs 35.