There was a stock of `1,73,80,245` quintals of wheat in a go-down of the Food Corporation of India. Out of this stock, `27,56,744` quintals of wheat was sent to Haryana and `48,63,108` quintals to Punjab. How much is the balance stock now ?
There was a stock of `1,73,80,245` quintals of wheat in a go-down of the Food Corporation of India. Out of this stock, `27,56,744` quintals of wheat was sent to Haryana and `48,63,108` quintals to Punjab. How much is the balance stock now ?
A
`97,60,293` quintals.
B
`97,60,393` quintals.
C
`92,60,353` quintals.
D
`97,55,393` quintals.
Text Solution
AI Generated Solution
The correct Answer is:
To find the balance stock of wheat in the go-down after sending some to Haryana and Punjab, we can follow these steps:
### Step 1: Identify the total stock of wheat.
The total stock of wheat in the go-down is given as:
\[
\text{Total Stock} = 1,73,80,245 \text{ quintals}
\]
### Step 2: Identify the amount of wheat sent to Haryana and Punjab.
The amount sent to Haryana is:
\[
\text{Wheat sent to Haryana} = 27,56,744 \text{ quintals}
\]
The amount sent to Punjab is:
\[
\text{Wheat sent to Punjab} = 48,63,108 \text{ quintals}
\]
### Step 3: Calculate the total amount of wheat sent out.
To find the total wheat sent out, we need to add the amounts sent to Haryana and Punjab:
\[
\text{Total Wheat Sent Out} = \text{Wheat sent to Haryana} + \text{Wheat sent to Punjab}
\]
\[
= 27,56,744 + 48,63,108
\]
### Step 4: Perform the addition.
Let's add these two numbers:
\[
\begin{array}{r}
27,56,744 \\
+ 48,63,108 \\
\hline
\end{array}
\]
Starting from the rightmost digit:
- 4 + 8 = 12 (write 2, carry 1)
- 4 + 0 + 1 (carry) = 5
- 7 + 1 = 8
- 6 + 3 = 9
- 5 + 6 = 11 (write 1, carry 1)
- 7 + 4 + 1 (carry) = 12 (write 2, carry 1)
- 2 + 4 + 1 (carry) = 7
So, the total wheat sent out is:
\[
\text{Total Wheat Sent Out} = 76,19,852 \text{ quintals}
\]
### Step 5: Calculate the balance stock.
To find the balance stock, we subtract the total wheat sent out from the total stock:
\[
\text{Balance Stock} = \text{Total Stock} - \text{Total Wheat Sent Out}
\]
\[
= 1,73,80,245 - 76,19,852
\]
### Step 6: Perform the subtraction.
Let's subtract these two numbers:
\[
\begin{array}{r}
1,73,80,245 \\
- 76,19,852 \\
\hline
\end{array}
\]
Starting from the rightmost digit:
- 5 - 2 = 3
- 4 - 5 (need to borrow) = 14 - 5 = 9 (borrow 1 from the next digit)
- 1 (after borrowing) becomes 0, so 0 - 8 (need to borrow again) = 10 - 8 = 2 (borrow 1 from the next digit)
- 2 (after borrowing) becomes 1, so 1 - 9 (need to borrow again) = 11 - 9 = 2 (borrow 1 from the next digit)
- 7 (after borrowing) becomes 6, so 6 - 1 = 5
- 3 - 6 (need to borrow) = 13 - 6 = 7 (borrow 1 from the next digit)
- 1 (after borrowing) becomes 0, so 0 - 7 (need to borrow) = 10 - 7 = 3
So, the balance stock is:
\[
\text{Balance Stock} = 97,60,393 \text{ quintals}
\]
### Final Answer:
The balance stock of wheat in the go-down is:
\[
\text{Balance Stock} = 97,60,393 \text{ quintals}
\]
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RS AGGARWAL-NUMBER SYSTEM -TEST PAPER - 1 (D. Write T for the true and F for false in each of the following)
- There was a stock of 1,73,80,245 quintals of wheat in a go-down of the...
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- True or False The difference in the face value and the place value o...
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- In Roman numerals V, L and D are never subtracted.
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- The successor of the greatest 5 - digit number is 1,00,000.
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- The estimated value of 46,530 to the nearest hundred is 46500.
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- 100 lakhs make a million.
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