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What is the value of D, if A : C = B : D in the given table? ABCD 25 40 30 ?
Question

What is the value of D, if A : C = B : D in the given table? 

A
B
C
D
25
40
30
?

A.

56

B.

48

C.

45

D.

42

Correct option is B

Given: A : C = B : D, where A = 25, B = 40, C = 30, D = ?
Formula Used:
For proportional values,
AC=BD,henceD=B×CA\frac{A}{C} = \frac{B}{D}, \quad \text{hence} \quad D = \frac{B \times C}{A}​​
Solution:
Given: A:C=B:DAC=BD,2530=40D, D=40×3025=120025=48. Thus, the value of D is 48.\text{Given: } A : C = B : D \\\frac{A}{C} = \frac{B}{D}, \\\frac{25}{30} = \frac{40}{D}, \\\ \\D = \frac{40 \times 30}{25} = \frac{1200}{25} = 48. \\\ \\\text{Thus, the value of } D \text{ is } 48.​​

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