This problem requires finding the total pocket money Amit received, given the amounts spent on specific items and the fraction this spending represents of the total pocket money.
Calculate the total amount Amit spent.
Amount spent on shoes = ₹ 150
Amount spent on watch = ₹ 75
Total Amount Spent = ₹ 150 + ₹ 75 = ₹ 225
Set up an equation using the given fraction.
The total amount spent (₹ 225) is three-fourth ( (3/4) ) of his total pocket money.
Let 'P' represent the total pocket money.
The equation is: \(₹ 225 = \frac{3}{4} \times P\)
Solve for the total pocket money (P).
To find P, rearrange the equation:
\(P = ₹ 225 \div \frac{3}{4}\)
\(P = ₹ 225 \times \frac{4}{3}\)
\(P = \frac{₹ 225 \times 4}{3}\)
\(P = ₹ 75 \times 4\)
\(P = ₹ 300\)
Therefore, the total amount Amit received as pocket money was ₹ 300.
What is the sum of \(\frac{3}{8} + \frac{5}{12}\)?
5 \(\frac{3}{4}\) + x + 2 \(\frac{1}{2}\) = 10 \(\frac{1}{8}\) Find the value of x.
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
Number 0.232323 can be written in rational form as:
Solve: \(\frac{1}{2}\) [{-2(2 + 3)*20}/2]
Match the following.
Column I | Column II | ||
a. | Equivalent fraction of \(\frac{7}{12}\) is | i. | Proper fraction |
b. | Equivalent fraction of \(\frac{9}{15}\) is | ii. | Improper fraction |
c. | \(\frac{7}{11}\) is | iii. | \(\frac{21}{36}\) |
d. | \(\frac{19}{5}\) is | iv. | \(\frac{3}{5}\) |