Final answer:
To find the listed price, we work backwards from the final price Alex paid. The listed price is the amount before any discount or tax is applied. A calculation mistake may have occurred, as the exact listed price computed doesn't match any given option.
Step-by-step explanation:
To find the listed price of an article that Alex bought, we need to work backwards from the discounted and taxed price he paid. Let's denote the listed price as 'L'. Alex received a 15% discount on the listed price. This means the price after the discount is L x (1 - 0.15) or 0.85L. Then, a sales tax of 10% is applied to the reduced price, making the final price 0.85L x (1 + 0.10) or 0.935L.
Alex paid Rs 374, which is the final price. Therefore, 0.935L = 374. To find L, we divide 374 by 0.935, yielding the listed price of the article.
L = 374 / 0.935
L = Rs 400 (approx.), but since it's not in the options provided, we need to check our calculations.
Correct Calculation: L = 374 / 0.935
L = Rs 400 (exact)
Since this answer does not perfectly match any of the options, it's important to carefully check the question and the available options. If none of the options are correct based on our calculation, we may need to re-evaluate the calculation or consult the question provider for clarification.