Question

Two prizes are to be distributed in a quiz contest. The value of the second prize is $\frac{5}{6}$ of the value of the first prize. If the sum of first prize and second prize is ₹3300, the first prize is ₹___.

• A. 1000
• B. 1800
• C. 1200
• D. 1500

Answer 1

The correct option is B 1800

Here, it is given that second price = $\frac{5}{6}\times$ (first prize)
Let the first prize be x, then second prize will be $\frac{5\times x}{6}$
It is given that sum of first prize and second prize is ₹3300, that means
x + $\frac{5\times x}{6}$ = ₹3300

$\frac{11\times x}{6}$ = ₹3300 $\Rightarrow$ x = 6 $\times$ 300

$\therefore$ x (First prize) = 1800