Math, asked by TonyBen8813, 11 months ago

Mcc spl ग्रूप वर एक प्रश्न विचारला आहे त्याचे उत्तर द्या तुमच्या जवळ 100 रुपय आहेत व तुम्हाला 100 रुपयात 100 वस्तू खरेदी करायच्या आहेत ** एक रुपयाला दहा चिमण्या
** दोन रुपयाला एक पोपट
** पाच रुपयाला एक कोंबडी **करा खरेदी 100 रूपया मध्ये 100 वस्तू जो कोणी 3 तासा मध्ये उत्तर देईल

Answers

Answered by Swarup1998
0

Given:

  • Cost of ten sparrows (चिमण्या) = Rs. 1
  • >> Cost of a sparrow = Rs. 1/10
  • Cost of a parrot (पोपट) = Rs. 2
  • Cost of a hen (कोंबडी) = Rs. 5

Consideration:

  • Number of sparrows = x
  • Number of parrots = y
  • Number of hens = z

Note - none of x, y, z is zero or not even a fraction. They must be positive integers.

Solution:

Here we form two equations,

  • Total quantity: x + y + z = 100
  • Total money: x/10 + 2y + 5z = 100

We see that we have two equations with three variables; this creates and impossibility of direct solution.

We have:

  • y + z = 100 - x ..... (i)
  • 2y + 5z = 100 - x/10 ..... (ii)

(ii) - 2 * (i) >>>

2y + 5z - 2y - 2z = 100 - x/10 - 200 + 2x

or, 3z = 19x/10 - 100

or, z = (19x - 1000)/30

For a positive value of (19x - 1000)/30,

19x - 1000 > 0

or, x > 1000/19

or, x > 52 + 12/19

or, x > 52

You see, there is 30 in denominator; that is why we must such values of x for which in numerator, we will get a multiple of 10.

We take x = 60, 70, 80, 90.

  • When x = 60, z = 14/3
  • When x = 70, z = 11
  • When x = 80, z = 52/3
  • When x = 90, z = 71/3
  • Then x = 70, z = 11, y = 19

Therefore the required values of x, y, z are

  • x = 70
  • y = 19
  • z = 11

Answer:

  • Number of sparrows (चिमण्या) = 70
  • Number of parrots (पोपट) = 19
  • Number of hens (कोंबडी) = 11

Confirmation:

Total quantity = 70 + 19 + 11 = 100

Total money = Rs. 70/10 + 2 (19) + 5 (11)

= Rs. 7 + 38 + 55 = Rs. 100

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