AFCAT Model Paper 6

Given: A person buys Rice for ₹ 6400 He sells one-fourth rice at a profit of 12% Formula Used: Selling Price = Cost Price + Profit Calculation: Total Cost Price of Rice = ₹ 6400 Then, total Selling Price = Cost Price + Profit = ₹ 6400 + ₹ 11% of 6400 ⇒ ₹ (6400 + 704) ⇒ ₹ 7104 Cost Price of $\frac{1}{4}^{\text{th}}$ of given Rice = 6400/4 = ₹ 1600 Selling Price of $\frac{1}{4}^{\text{th}}$ of given Rice = ₹ 112% of 1600 = ₹ 1792 Cost Price of rest $\frac{3}{4}^{\text{th}}$ of given Rice = ₹ (6400 – 1600) = ₹ 4800 Selling Price of rest $\frac{3}{4}^{\text{th}}$ of given Rice = ₹ (7104 – 1792) = ₹ 5312 So, % profit $= \frac{\left[5312 - 4800\right]}{4800} \times 100$ $\Rightarrow \frac{512}{4800} \times 100$ $\Rightarrow \frac{8}{75} \times 100$ $\Rightarrow \frac{32}{3}$ ⇒ 10.67% ∴ Required gain percentage is 10.67%.