Three friends, Arjun, Aditi, and Ananya, buy the same AI course for skill development. Each one of them had exactly Rs. 25,000 in their accounts. The AI course had a special discount of 15% on the actual product fee or marked price. Additionally, Aditi and Ananya, being siblings of employees of the company providing the AI course, received an extra 10% discount on the already discounted price. Arjun did not get any extra discount. Ananya, however, had a loyalty card which gave her an additional 5% discount on the already discounted price. At the end of the day, when they checked their expenses in their respective accounts, they found that Aditi had paid Rs. 765 more than Ananya.Q 115. What is the marked price of the course?a) Rs. 25,000b) Rs. 24,000c) Rs. 20,000d) Rs. 18,000
Question
Three friends, Arjun, Aditi, and Ananya, buy the same AI course for skill development. Each one of them had exactly Rs. 25,000 in their accounts. The AI course had a special discount of 15% on the actual product fee or marked price. Additionally, Aditi and Ananya, being siblings of employees of the company providing the AI course, received an extra 10% discount on the already discounted price. Arjun did not get any extra discount. Ananya, however, had a loyalty card which gave her an additional 5% discount on the already discounted price. At the end of the day, when they checked their expenses in their respective accounts, they found that Aditi had paid Rs. 765 more than Ananya.Q 115. What is the marked price of the course?a) Rs. 25,000b) Rs. 24,000c) Rs. 20,000d) Rs. 18,000
Solution
Let's denote the marked price of the course as X.
First, we calculate the price Arjun paid for the course. He received a 15% discount, so he paid 85% of the marked price, which is 0.85X.
Aditi and Ananya received an additional 10% discount on the already discounted price. So, they paid 90% of the price Arjun paid, which is 0.9 * 0.85X = 0.765X.
Ananya had a loyalty card which gave her an additional 5% discount on the already discounted price. So, she paid 95% of the price Aditi paid, which is 0.95 * 0.765X = 0.72675X.
According to the problem, Aditi paid Rs. 765 more than Ananya. So, we can set up the equation 0.765X = 0.72675X + 765.
Solving this equation for X gives us X = Rs. 25,000.
So, the marked price of the course is Rs. 25,000. The correct answer is (a) Rs. 25,000.
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