High School

The food basket for Econoland contains three types of greens: spinach, kale, and celery.

In 2021, the Econolands consumed:
- 100 kilos of spinach priced at $6 per kilo,
- 50 kilos of kale priced at $5 per kilo,
- 80 kilos of celery priced at $4 per kilo.

In 2022, the prices changed:
- Spinach stayed the same at $6 per kilo,
- Kale increased to $6 per kilo,
- Celery increased to $5 per kilo.

The quantity consumed in 2022 was:
- 120 kilos of spinach,
- 60 kilos of kale,
- 85 kilos of celery.

Using 2021 as the base year, by how much does the cost of the eating index increase between 2021 and 2022?

A. 10.7 percent
B. 11.1 percent
C. 19.9 percent
D. 28.6 percent
E. 4.4 percent

Answer :

The cost of eating index increases by approximately 28.6 percent between 2021 and 2022.

To calculate the cost of eating index between 2021 and 2022, we need to compare the total cost of the food basket in both years and calculate the percentage increase.

First, let's calculate the total cost of the food basket in 2021 and 2022.

2021:

Total cost = (Quantity of spinach * Price per kilo) + (Quantity of kale * Price per kilo) + (Quantity of celery * Price per kilo)

Total cost in 2021 = (100 * $6) + (50 * $5) + (80 * $4)

= $600 + $250 + $320 = $1,170

2022:

Total cost = (Quantity of spinach * Price per kilo) + (Quantity of kale * Price per kilo) + (Quantity of celery * Price per kilo)

Total cost in 2022 = (120 * $6) + (60 * $6) + (85 * $5)

= $720 + $360 + $425

= $1,505

Now, let's calculate the percentage increase in the cost of eating index.

Percentage increase = ((Total cost in 2022 - Total cost in 2021) / Total cost in 2021) * 100

Percentage increase = (($1,505 - $1,170) / $1,170) * 100

Percentage increase ≈ 28.6 percent

Therefore, the cost of eating index increases by approximately 28.6 percent between 2021 and 2022.

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