Sachin bought the first pen for ₹630 and the second pen for ₹722, respectively. He sells the first pen at 70% of the profit but the buyer bargains for the price, and he has to offer a 9% discount and the second pen at 71% of the profit. Find the total profit he had in this transaction (correct to two decimal places).​

Correct option is B

Given:

CP₁ (first pen) = ₹630; intended profit = 70%, but a discount of 9% is offered on the marked price.

CP₂ (second pen) = ₹722; sold at 71% profit.

Find total profit (₹), correct to two decimals.

Formula Used:

Marked Price for p% profit:

​$$\text{MP} = \text{CP} \times (1+p/100)$$​​

Discount d% on MP

$$\text{SP} = \text{MP} \times (1-d/100)$$​​

Profit = SP − CP;

Profit% =$$\dfrac{\text{SP}-\text{CP}}{\text{CP}}\times 100$$​​

Solution:
First pen:
​$$\text{MP}_1 = 630 \times 1.70 = 1071$$​​
​$$\text{SP}_1 = 1071 \times 0.91 = 974.61$$​​
​$$\text{Profit}_1 = 974.61 - 630 = 344.61$$​​

Second pen:
​$$\text{SP}_2 = 722 \times 1.71 = 1234.62$$​​
​$$\text{Profit}_2 = 1234.62 - 722 = 512.62$$​​

​$$\text{Profit}_{\text{total}} = 344.61 + 512.62 = ₹857.23$$​​