Math, asked by jagpreetkaur5827, 9 months ago

If the ratio between laspeyre's index number and paasche's index number is 28:27 .then the missing figure in the following table p is
commodity base year current year
price quantity price quantity
x 1 10 2
5
y 1 5 p
2​

Answers

Answered by knjroopa
33

Step-by-step explanation:

Given If the ratio between laspeyre's index number and paasche's index number is 28:27 .then the missing figure in the following table p is

X       L      10       2      5

Y       L         5        P    2

  • So Laspeyre’s index number = ∑ PxQo / ∑ PoQo
  •                                   = 2 x 10 + P x 5 / L x 10 + L x 5
  •                                   = 20 + 5P / 15 L
  •                                   = 5 (4 + P) / 15 L
  •                                    = 4 + P / 3L
  • Now for the Paasche’s index number we have, ∑ Px Qx / ∑ Po Qx
  •                                          = 2 x 5 + P x 2 / L x 5 + L x 2
  •                                          = 2P + 10 / 7L
  •                                         = 2 (P + 5) / 7L
  • Given Ratio = L : P = 28:27
  • So 4 + p / 3L / 2 (P + 5) / 7L = 28/27
  •    Or 7 (4 + P) / 6(P + 5) = 28/27
  •     Or 9(4 + P) = 8(P + 5)
  •         36 + 9P = 8P + 40
  •          Or P = 40 – 36
  •           Or P = 4

Reference link will be

https://brainly.in/question/7303684

Answered by Aditiiiiiiiiiii
37

Answer:

P=4

Step-by-step explanation:

...............................

Attachments:
Similar questions