A dealer marks a washing machine at Rs 7500 and allows a discount of 6% on the marked price. What is the selling price per washing machine?

Introduction / Context:
This question is another straightforward application of discount on marked price, but with a slightly different percentage. It reflects everyday retail practices, where the marked price on an item is reduced by a given discount to attract customers. For aptitude exams, being comfortable with computing such discounts quickly and accurately is very important, especially when the numbers are friendly and allow mental calculation.

Given Data / Assumptions:

• Marked price (MP) of the washing machine = Rs 7500.
• Discount offered = 6% of the marked price.
• Selling price (SP) is equal to MP minus the discount amount.
• We must compute SP in rupees.

Concept / Approach:
As with other discount problems, the selling price after discount can be written directly as SP = MP * (1 − discount/100). For a 6% discount, the customer pays 94% of the marked price. Therefore, SP = 7500 * 94/100. This method avoids separate calculations for discount and subtraction, though we may still verify by both methods to strengthen understanding.

Step-by-Step Solution:
Step 1: Marked price MP = Rs 7500. Step 2: Discount = 6%, so customer pays 100% − 6% = 94% of MP. Step 3: Selling price SP = MP * 94/100 = 7500 * 94/100. Step 4: Simplify: 7500 * 94/100 = 75 * 94 = 7050. Step 5: Therefore, SP = Rs 7050.

Verification / Alternative check:
Compute the discount amount explicitly. Discount amount = 6% of 7500 = 7500 * 6/100 = 450. Then SP = marked price − discount amount = 7500 − 450 = 7050. This agrees with the previous method and confirms that the result is correct. The dual verification helps ensure no arithmetic mistake has been made in handling the percentage.

Why Other Options Are Wrong:

• 6850 corresponds to a larger discount than 6%, because 7500 − 6850 = 650, which is about 8.67% of 7500.
• 7250 would correspond to a discount of only 250, about 3.33%, not the stated 6%.
• 6950 would give a discount of 550, which is roughly 7.33% of 7500, again different from 6%.

Common Pitfalls:
Students sometimes confuse 6% with 0.6 or 0.06 and may write the wrong decimal, leading to incorrect discount amounts. Another pitfall is incorrectly multiplying 7500 by 94 and misplacing zeros, for instance computing 7500 * 0.94 as 7040 or 7060. A simple check is to estimate that 6% of 7500 is slightly less than 10% of 7500 (which is 750), so the discount should be around 450 and SP around 7050. Estimation helps catch calculation errors.

Final Answer:
The selling price of each washing machine is Rs 7050.