A grocer purchased 10 kg rice for ₹700. He spends some amount on transportation and then sells it for ₹1,400. If the percentage of profit made by the grocer is 30%, then what is the amount (in₹)he spends on transportation? (Round off to the nearest integer)

To find the amount spent on transportation, we can break down the problem step-by-step using the relationship between cost price, selling price, and profit percentage.

Step 1: Understand the components of the Total Cost Price (CP)
The total cost price for the grocer consists of two parts:
1. The purchase price of the rice: ₹700
2. The amount spent on transportation (let this be $T$)
Therefore, the total Cost Price ($CP$) is:
$CP=700+T$

Step 2: Relate Cost Price, Selling Price (SP), and Profit Percentage
We are given:
- Selling Price ($SP$) = ₹1,400
- Profit Percentage = 30%
The formula relating Selling Price, Cost Price, and Profit Percentage is:
$SP=CP\times (1+\frac{\text{Profit \%}}{100})$

Step 3: Substitute the known values into the equation
Substituting the values we have:
$1400=(700+T)\times (1+\frac{30}{100})$
Simplifying the profit factor:
$1400=(700+T)\times 1.3$

Step 4: Solve for the transportation cost ($T$)
Divide both sides by 1.3:
$700+T=\frac{1400}{1.3}$
$700+T\approx 1076.92$
Now, subtract 700 from both sides to find $T$:
$T\approx 1076.92-700$
$T\approx 376.92$

Step 5: Round off to the nearest integer
Rounding 376.92 to the nearest integer gives ₹377.

Thus, the amount spent on transportation is ₹377.