Question

$10$ kg sugar costs $₹350$. If $x$ kg sugar of the same kind cost $₹175$, find the value of $x$.

Answer 1

Solution:
Step 1 : Calculate the value of $x$
Given,$10$ kg sugar cost is $₹350$ and $x$ kg sugar cost is $₹175$
According to the given statement
$\therefore 10kg:xkg$ = $₹350:₹175$
$\Rightarrow 10\times 175=x\times 350$
$\because$ (Product of extremes = Product of means)
$\Rightarrow x$ = $\frac{10\times 175}{350}$
$\Rightarrow x$ = $\frac{2\times 5\times 5\times 5\times 7}{2\times 5\times 5\times 7}$
$\Rightarrow x$ = $5$
Hence, $5kg$ of sugar costs ₹$175$.