Calculating Total Pocket Money from Spending
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.
Steps to Find Pocket Money
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Calculate the total amount Amit spent.
Amount spent on shoes = ₹ 150
Amount spent on watch = ₹ 75
Total Amount Spent = ₹ 150 + ₹ 75 = ₹ 225
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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: \(₹ 225 = \frac{3}{4} \times P\)
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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.
Important Questions from Fractions
If three-fifths of a number is 54, what is two-ninth of it?
Sunila had \(9\frac{1}{4}\) kg of flour to make bread with. If the recipe says that she needs \(1\frac{1}{8}\) kg to make one loaf of bread, how many loafs can she make? Estimate to the nearest whole number.
The value of \(\frac{{11}}{5} - \left( {\frac{2}{3}of\frac{3}{5} - \frac{1}{5}} \right) + \left( {\frac{6}{5} \div \frac{4}{5}} \right)\) is:
In his career, a tennis player won 5 matches lost 12 matches and had 3 matches as draw. The fraction of the match he lost in his career is:
Simplify:
\(62\div 5 - \left(\frac{8}{9}\times \frac{18}{7}\right)\times \frac{7}{5}+\frac{5}{4}\times \frac{16}{25}\)
