Question

Jaydeep purchased 25 Kg of rice at the rate of Rs 16.80 per Kg and 35 Kg of rice at the rate of Rs 25.50 per Kg. He mixed the two and sold the mixture. Approximately, at what price per Kg did he sell the mixture to make 25 percent profit?

• A. Rs 26.50
• B. Rs 27.50
• C. Rs 28.50
• D. Rs 30.00
• E. None of these

Answer 1

The correct option is A Rs 26.50

$35\left[\frac{100Z-24.50(100+25)}{16.50(100+25)-100Z}\right]=25$
or, $\frac{100Z-3062.5}{2062.5-100Z}=\frac{5}{7}$
or, 700Z-21437.5 =10312-500Z
or, 1200Z=31750
$\therefore$ Z =Rs 26.458 pe Kg $\approx$ Rs.26.50 per Kg.