JAMIA 2026 — Reasoning PYQ

Method 1: Let's Assume the Cost Price (CP) is 100

Let the Cost Price ($\text{CP}$) of the item be $100$.

• Step 1: Calculate the Maximum Retail Price (MRP)

  The $\text{MRP}$ is marked $40\%$ above the $\text{CP}$:

  $$\text{MRP}=100+(40\%\text{ of }100)=100+40=140$$

• Step 2: Calculate the Selling Price (SP) after Discount

  The seller gives a $20\%$ discount on the $\text{MRP}$:

  $$\text{Discount}=20\%\text{ of }140=\frac{20}{100}\times 140=28$$

$$\text{Selling Price (SP)}=\text{MRP}-\text{Discount}=140-28=112$$

• Step 3: Calculate the Profit Percentage

  $$\text{Profit}=\text{SP}-\text{CP}=112-100=12$$

$$\text{Profit Percentage}=\left(\frac{\text{Profit}}{\text{CP}}\right)\times 100=\left(\frac{12}{100}\right)\times 100=12\%$$