Introduction to shopping — lesson. Mathematics State Board, Class 8.

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Shopping is a part of day-to-day life. One of the important aspects that have to be focused on while shopping is comparison of product with respect to product's price, quality, quantity discount, offers, etc.,

A wise shopping is something where the consumer considers these aspects before spending their money.

Let us briefly learn how to do wise shopping from the following situations.

Shopping comparison:

Situation 1:

Vimal wants to buy a television for his newly built house. In a store, he find

$4$ brands of television displayed with their feature as listed below. He wanted to buy the latest TV with the maximum smart features available at a reasonable price. Which among the following is a wise selection?

Brand	Fast User Interface	Streaming Video Services	Media Player	Universal Search	Smart Transfer from Mobile to TV	Cost
$A$	Yes	No	Yes	No	Yes	Low
$B$	No	Yes	Yes	Yes	Yes	High
$C$	Yes	Yes	Yes	Yes	Yes	Medium

Brand

$A$ is good, but it lacks the key feature of the smart TV though offered at a low cost.

Brand

$B$ is also good, but the cost is high compared to the other two brands.

Brand

$C$ is excellent because it offers all the key features at a reasonable cost.

Therefore, Brand

$C$ is the wise selection of television as it meets his requirements.

Situation 2:

Sushil wants to buy the following list of fruits that is required for a week.

Apple $-$ $3$ $kg$
Banana $-$ $\frac{1}{2}$ dozen
Orange $-$ $4$ $kg$
Guava $-$ $2$ $kg$
Grapes $-$ $1$ $kg$

She enters the market place and find two shops

$A$ and

$B$ selling all the fruits that she requires.

Let us learn how to choose the best place to buy fruits.

If in such a situation, the following aspects are to be considered:

Check the list of all the items to find the availability of it.
Compare the weight and price of each item in the list in both the shops.
Select the best deal for all the items in one place.
Compare the above three aspects to decide the best shop to buy the list of fruits.

For instance, let the collected price list of both shops

$A$ and

$B$ are as follows:

Fruit Name	Fruit	Quantity	$A$	$B$
Apple		$1 kg$	$₹$ $180$	$₹$ $160$
Banana		$1$ dozen	$₹$ $120$	$₹$ $110$
Orange		$1$ $kg$	$₹$ $100$	$₹$ $90$
Guava		$1$ $kg$	$₹$ $130$	$₹$ $125$
Grapes		$1$ $kg$	$₹$ $80$	$₹$ $60$

Calculate the price of the required fruits in Shop

$A$ :

Fruit name	Fruit	Required quantity	Price of required fruits	Total price
Apple		$3 kg$	Cost of $1$ $kg$ of apples $=$ $₹$ $180$ Cost of $3$ $kg$ of apples $=$ $3 \times 180$ $=$ $₹$ $540$	$₹$ $540$
Banana		$\frac{1}{2}$ dozen	Cost of $1$ dozen of bananas $=$ $₹$ $120$ Cost of $\frac{1}{2}$ dozen of bananas $=$ $\frac{1}{2} \times 120$ $=$ $₹$ $60$	$₹$ $60$
Orange		$4$ $kg$	Cost of $1$ $kg$ of oranges $=$ $₹$ $100$ Cost of $4$ $kg$ of oranges $=$ $4 \times 100$ $=$ $₹$ $400$	$₹$ $400$
Guava		$2$ $kg$	Cost of $1$ $kg$ of guavas $=$ $₹$ $130$ Cost of $2$ $kg$ of guavas $=$ $2 \times 130$ $=$ $₹$ $260$	$₹$ $260$
Grapes		$1$ $kg$	Cost of $1$ $kg$ of grapes $=$ $₹$ $80$	$₹$ $80$

Calculate the price of the required fruits in Shop

$B$ :

Fruit name	Fruit	Required quantity	Price of required fruits	Total price
Apple		$3 kg$	Cost of $1$ $kg$ of apples $=$ $₹$ $160$ Cost of $3$ $kg$ of apples $=$ $3 \times 160$ $=$ $₹$ $480$	$₹$ $480$
Banana		$\frac{1}{2}$ dozen	Cost of $1$ dozen of bananas $=$ $₹$ $110$ Cost of $\frac{1}{2}$ dozen of bananas $=$ $\frac{1}{2} \times 110$ $=$ $₹$ $55$	$₹$ $55$
Orange		$4$ $kg$	Cost of $1$ $kg$ of oranges $=$ $₹$ $90$ Cost of $4$ $kg$ of oranges $=$ $4 \times 90$ $=$ $₹$ $360$	$₹$ $360$
Guava		$2$ $kg$	Cost of $1$ $kg$ of guavas $=$ $₹$ $125$ Cost of $2$ $kg$ of guavas $=$ $2 \times 125$ $=$ $₹$ $250$	$₹$ $250$
Grapes		$1$ $kg$	Cost of $1$ $kg$ of grapes $=$ $₹$ $60$	$₹$ $60$

Now let us compare the total cost in both the shops.

Fruit Name	Fruit	Quantity	$A$	$B$
Apple		$3 kg$	$₹$ $540$	$₹$ $480$
Banana		$\frac{1}{2}$ dozen	$₹$ $60$	$₹$ $55$
Orange		$4$ $kg$	$₹$ $400$	$₹$ $360$
Guava		$2$ $kg$	$₹$ $260$	$₹$ $250$
Grapes		$1$ $kg$	$₹$ $80$	$₹$ $60$
		Total cost	$₹$ $1340$	$₹$ $1205$

On comparison, it is found that the best shop to buy all fruits on the list is Shop

$B$ as the price is comparatively low.

Hence, it is a wise shop to buy fruits from Shop

$B$ .

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1. Introduction to shopping

Theory: