व्यंजक x³y² में x तथा y के मान में क्रमश 25% तथा 20% कमी करने पर व्यंजक के मान में कितने प्रतिशत कमी आएगी
Answers
Given : व्यंजक x³y² में x तथा y के मान में क्रमश 25% तथा 20% कमी करने पर
In x³y² value of x and y are reduced by 25 % and 20 % respectively
To Find : व्यंजक के मान में कितने प्रतिशत कमी आएगी
Value will be reduced by how much percentage
Solution:
x³y²
Let say initial value of x = 4a
initial value of y = 5b
initial value of x³y² = (4a)³(5b)² = 64 a³ * 25 b²
= 1600 a³b²
reduced value of x = 4a - ( 25/100)4a = 3a
reduced value of y = 5b - ( 20/100)5b = 4b
Reduce value of x³y² = ( 3a)³ ( 4b)² = 27a³ * 16b²
= 432 a³b²
Reduction = 1600 a³b² - 432 a³b² = 1,168 a³b²
Reduction % = 100 * 1,168 a³b² / 1600 a³b²
= 1168/16
= 73 %
व्यंजक के मान में 73 प्रतिशत कमी आएगी
Value will be reduced by 73 %
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Answer:
73%
Step-by-step explanation: