Problem: Padma purchased 30 kg of rice at the rate of Tk. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Tk. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot of another 30 kg rice?
View all: PUBALI BANK (JSO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: ans: 13.5
Explanation:
Let, the price per kg of another lot of 30kg rice is Tk. x
Here CP of first lot of 30kg rice is Tk. (30 x 17.50) = 525 Tk.
Here CP of first lot of another rice is Tk. (30 $\times$ x) = 30x Tk.
Total cost price of the two lots is Tk. = 525 + 30x
S.P ofthe total rice is Tk. (60 x 18.6) = 1116 Tk.
So, we can write 120% of (525 + 30x) = 1116
=> $\frac{120}{100}$(525+30x) = 1116
=> x = 13.5
