An electronics shop was selling articles at a high discount. Kajal went to buy 3 articles from the shop. The cost of the first article is 33.33% less than the cost of the 2nd article. The cost of the 3rd article is 300% more than the discount on the 2nd article. The discount on the 1st article is 30% less than the discount on the 3rd article. After the discounts, Kajal receives an additional discount, which is equal to the sum of discounts on the first 2 articles. The discount on the 1st article is 80.55% less than the price of the 3rd article. Which of the following is true if the cost of article 1 is 50% less than the cost of article 3?

An electronics shop was selling articles at a high discount. Kajal went to buy 3 articles from the shop. The cost of the first article is 33.33% less than the cost of the 2nd article. The cost of the 3rd article is 300% more than the discount on the 2nd article. The discount on the 1st article is 30% less than the discount on the 3rd article. After the discounts, Kajal receives an additional discount, which is equal to the sum of discounts on the first 2 articles. The discount on the 1st article is 80.55% less than the price of the 3rd article. Which of the following is true if the cost of article 1 is 50% less than the cost of article 3? Correct Answer <span style=" line-height: 107%; ">Total discount on all the 3 articles including an additional discount is more than the price of article 3 by more than 16%.</span>

Calculation:

Let the cost of article 2 be Rs. x.

Let the discount on article 2 be Rs. y.

Let the discount on article 3 be Rs. z.

Additional discount = 0.7z + y

Also, discount on the first article,

⇒  0.1945 × 4y = 0.7z

Also,

⇒ 2x/3 = 2y (According to the given condition)

⇒ Total discount = 4.668y 

⇒ Price of the 3^rd article = 4y

⇒ The % more = 0.668 × 100/4 = 16.7%

Additional Information

Discount = Marked Price – Selling Price

Discount Percentage = (Discount/Marked price) x 100

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit/Cost Price) x 100

Loss percentage = (Loss/Cost price) x 100