One man take 100 rupee.he purchase 3products total number 100and amount 100.1glass price 3rupees,40spoon price RS 1,1plate price 5rupees . How much plate,spoon and glass purchase
Answers
Answer:
Step-by-step explanation:
3+40+5=48
Given:
The price of the products are as follows:
1 glass: Rs. 3
1 plate: Rs. 5
40 spoon: Rs. 1 ⇒ 1 spoon: Rs.
Elephant: Rs. 10
Total no. of products = 100
Total price of the products = Rs. 100
To find:
The number of plate, spoon and glass that were purchased
Solution:
Let's assume:
"G" → no. of glass
"P" → no. of plates
"S" → no. of spoons
Since the total no. of products should be 100, so we can form an equation as,
G + P + S = 100 ...... (i)
Also, the total price of the products should be Rs. 100
3G + 5P + S = 100 .... (ii)
We will multiply throughout equation (i) and we get a new eq. as,
0.025G + 0.025P + 0.025S = 100 × 0.025
⇒ 0.075G + 0.075P + 0.075S = 2.5 ...... (iii)
We will subtract eq. (iii) from eq. (ii),
[3G + 5P + S] - [0.075G + 0.075P + 0.075S] = 100 - 2.5
⇒ [3G - 0.075G] + [5P - 0.075P] + [0.075S - 0.075S] = 97.5
⇒ 2.925G + 4.925P = 97.5 ...... (iv)
Now,
We will take the value of G as 1, 2, 3,..... in eq. (iv) and find the value for P
Firstly we will assume G = 1
2.925×1 + 4.925P = 97.5
⇒ 4.925P = 97.5 - 2.925
⇒ 4.925P = 94.575
⇒ P =
⇒ P = 19.20 ≈ 19 → since the number of plates cannot be in decimal so we have taken the nearest value
From above we conclude that the by taking the value as 1 the no. of plates is 19.
Therefore, substituting G = 1 and P = 19 in eq. (i), we get
G + P + S = 100
⇒ 1 + 19 + S = 100
⇒ 20 + S = 100
⇒ S = 100 - 20
⇒ S = 80
Verify:
Total no. of products = 1 + 19 + 80 = 100
Total price = (3×1) + (5×19) + (80÷40) = 100
Since both the conditions of the price and the number of products are met by the assumed value therefore our final answer is achieved.
Thus,
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