Question

Find the value of 'p' for which 3, 5, p+5, 25 are in proportion :

• A. 15
• B. 20
• C. 10
• D. 30

Answer 1

Answer:

C. 10

The value of p is 10.

For four numbers $a, b, c,$ and $d$ to be in proportion, the ratio of the first two must equal the ratio of the last two:
$\frac{a}{b} = \frac{c}{d}$

Given the numbers 3, 5, p+5, and 25:
$\frac{3}{5} = \frac{p + 5}{25}$

1. Cross-multiply to solve for $p$:
   $3 \times 25 = 5 \times (p + 5)$

2. Simplify both sides:
   $75 = 5p + 25$

3. Subtract 25 from both sides:
   $50 = 5p$

4. Divide by 5:
   $p = 10$