You visited us 7 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Addition and Subtraction of a Matrix

A fruit vendo...

Question

A fruit vendor sells fruits from his shop. Selling prices of Apple, Mango and Orange are Rs. 20, Rs. 10 and Rs. 5 each respectively. The sales in three days are given below
Day
Apples
Mangoes
Oranges
1
50
60
30
2
40
70
20
3
60
40
10
Write the matrix indicating the total amount collected on each day and hence find the total amount collected from selling of all three fruits combined.

Open in App

Solution

Total amount $= ⎡ ⎢ ⎣ \begin{matrix} 20 \times 50 & 60 \times 10 & 30 \times 5 20 \times 40 & 70 \times 10 & 20 \times 5 20 \times 60 & 40 \times 10 & 10 \times 5 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1000 & 600 & 150 800 & 700 & 100 1200 & 400 & 50 \end{matrix} ⎤ ⎥ ⎦$
Total amount collected for three day after selling all fruits $= 300 + 1700 + 300 = R s .5000 .$
Hence, the answer is $R s .5000 .$

Suggest Corrections

Similar questions

Q. A fruitseller sells

80 %

of all his fruits on a particular day, which comprise of only mangoes and apples. He sells an equal number of mangoes and apples. He sells mangoes for Rs 1 each and apples for Rs 3 each. How many fruits were there before the sale?
A. His total revenue from the sale of his fruits was Rs 32.
B. Exactly 2 mangoes and 2 apples are remaining after the sale.

Q. A fruit shop has

5

dozen oranges,

3

dozen mangoes,

6

dozen bananas their selling prices are Rs.

60

, Rs.

40

, Rs.

30

each respectively. Using matrix algebra the value of the fruits in the shop is?

A fruit seller bought 25 kg oranges for Rs 450. However, he could not sell any of the fruits on the next day. So he reduced the price of the orange to Rs 15 per kg and all oranges were sold out. Find his profit or loss.

Q. The bookshop of a particular school has

10

dozen chemistry books,

8

dozen physics books,

10

dozen economics books. Their selling prices are Rs

80

, Rs

60

and Rs

40

each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

Q. The bookshop of a particular school has

10

dozen chemistry books,

8

dozen physics books,

10

dozen economics books. Their selling prices are Rs.

80

, Rs.

60

and Rs.

40

each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

Join BYJU'S Learning Program

Total amount =⎡⎢⎣20×5060×1030×520×4070×1020×520×6040×1010×5⎤⎥⎦=⎡⎢⎣1000600150800700100120040050⎤⎥⎦Total amount collected for three day after selling all fruits =300+1700+300=Rs.5000.Hence, the answer is Rs.5000.