If a/6 = b/10 = c/4 , then (a+b+c)/a is equal to:

If $\frac{a}{6}$ = $\frac{b}{10}$ = $\frac{c}{4}$ , then $\frac{a+b+c}{a}$ is equal to:

Show answer & explanation

Correct answer: D

Explanation

The Correct answer is option 4 i.e. $\frac{10}{3}$ .

Given that

if $\frac{a}{6}$ = $\frac{b}{10}$ = $\frac{c}{4}$

$\frac{a}{6}$ = $\frac{b}{10}$ = $\frac{c}{4}$ = k (a constant value)

so, a = 6k

b = 10k

c = 4k

Now, the value of $\frac{a+b+c}{a}$ = (6k + 10k + 4k)/6k = 20k/6k = 10/3

SSC GD 2023 PYQ — Question 47