Question

If price of 10 gram gold is ₹30000, then match the following weight of gold with corresponding prices.

• A. ₹15000
• B. 9.3 gram
• C. 14.7 gram
• D. ₹54000

Answer 1

Price of gold is directly proportional to its weight i.e., as weight of gold increases, its price also increases.

In direct proportion, ratio of two proportional quantities is always constant.
Given price of 10 gram gold is ₹30000.

For 5 gram of gold, price will be
$\frac{x}{5}=\frac{30000}{10}$
$⟹$ $x$ = ₹15000

$\therefore$ Price of 5 gram gold = ₹15000

For price ₹27900, weight of gold
$\frac{27900}{x}=\frac{30000}{10}$
$⟹$ $x$ = 9.3 gram

$\therefore$ For ₹27900, we get 9.3 gram gold.

For price ₹44100, weight of gold
$\frac{44100}{x}=\frac{30000}{10}$
$⟹$ $x$ = 14.7 gram

$\therefore$ For ₹44100, we get 14.7 gram gold.


For 18 gram of gold, price will be
$\frac{x}{18}$ = $\frac{30000}{10}$
$⟹$ $x$ = ₹54000
$\therefore$ Price of 18 gram gold = ₹54000