World fruit production went up 54 percent between 2000 and 2019, to 883 million tonnes. Five fruit species accounted for 57 percent of the total production in 2019, down from 63 percent in 2000. Use the data in the passage to answer the following questions. [Data source: FAO]

Frutopia and Fruitifix both sold oranges at the same selling price. Frutopia gave a 15% discount on its marked price, while Fruitifix gave a 20% discount on its marked price. If the marked price on Frutopia is | 75/kg, what is the marked price on Fruitifix?

The correct option is ₹80.

Step-by-step Explanation:

Step 1: Calculate the selling price of oranges at Frutopia.

We are given that the marked price (MP) of oranges at Frutopia is ₹75 per kg and Frutopia offers a discount of 15% on its marked price.

Discount amount = 15% of ₹75

$\text{Discount}=\frac{15}{100}\times 75=11.25$

Selling Price (SP) = Marked Price - Discount

$\text{Selling Price}=75-11.25=63.75$

So, the selling price of oranges at both stores is ₹63.75 per kg.

Step 2: Find the marked price of oranges at Fruitifix.

Let the marked price at Fruitifix be $X$.

Fruitifix offers a 20% discount on its marked price, which means the selling price is 80% of its marked price.

$\text{Selling Price}=X\times (1-\frac{20}{100})=0.80\times X$

Since both Frutopia and Fruitifix sold oranges at the same selling price, we set this equal to ₹63.75:

$0.80\times X=63.75$

$X=\frac{63.75}{0.80}=79.6875$

Rounding to the nearest whole rupee gives ₹80.

Therefore, the marked price on Fruitifix is ₹80.