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
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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