Question

The given table shows the prices of $3$ different types of eggs. $\frac{1}{4}$ of the eggs Priyanka bought were chicken eggs. $\frac{1}{8}$ of them were century eggs and the rest were quail eggs. If Priyanka spent a total amount of $Rs.6.50$ on the chicken and century eggs, how much did she spend on the quail eggs?

Chicken eggs	$20$ paise each
Century eggs	$90$ paise each
Quail eggs	$5$ paise each

• A. $Rs.1.25$
• B. $Rs.1.40$
• C. $Rs.1.65$
• D. $Rs.1.80$

Answer 1

The correct option is A $Rs.1.25$

Let the total number of eggs be $x$.
$\therefore$ Number of chicken eggs $=\frac{1}{4}x$
Number of century eggs $=\frac{1}{8}x$
And number of quail eggs
$=x-(\frac{1}{4}x+\frac{1}{8}x)=\frac{5}{8}x$
Now, $\frac{1}{4}\times x\times 20+\frac{1}{8}\times x\times 90=6.50\times 100$ paise
$\Rightarrow \frac{40x+90x}{8}=650$
$\Rightarrow 130x=5200\Rightarrow x=40$
$\therefore$ Number of quail eggs $=\frac{5}{8}\times 40=25$
So, money spent on quail eggs
$=(25\times 5)$ paise = $125$ paise = Rs. $1.25$.