Ram went to a shop to buy 50 kg of rice. He buys two varieties of rice which cost him ₹ 4.50 per kg and ₹ 5 per kg. He spends a total of ₹ 240. What was the quantity of rice bought which cost him ₹ 4.50 per kg? (M.A.T., 2007)
Answer
Answer (as printed):
Explanation
Let the quantity of rice bought at ₹ 4.50 per kg be $x \mathrm{kg}$. Then, quantity of rice bought at ₹ 5 per $\mathrm{kg}=(50-x) \mathrm{kg}$. $\therefore 4.50 x+5(50-x)=240 \Rightarrow 250-0.5 x=240 \Rightarrow 0.5 x=10 \Rightarrow x=20$. Hence, quantity of rice bought at ₹ 4.50 per kg = 20 kg.