To find a percentage of a number, multiply the number by the percentage expressed as a decimal: \(15\% \text{ of } 240 = 0.15 \times 240\).
Convert 15% to its decimal form:
Alternatively, using fractions:
Answer: 36 (Option A)
Average speed = Distance/Time = 360/6 = 60 km/h
√196 = 14 (since 14 × 14 = 196)
To simplify this expression, we apply the order of operations (BODMAS/PEMDAS): Brackets, Orders, Division & Multiplication (left to right), then Addition & Subtraction (left to right).
Step 1: Perform Division
Division comes before addition and subtraction, so evaluate \(12 \div 4\) first.
The expression becomes:
Step 2: Perform Multiplication
Next, evaluate \(2 \times 3\).
The expression becomes:
Step 3: Perform Addition and Subtraction (Left to Right)
Now evaluate from left to right.
Step 4: Final Subtraction
Answer: \(5\) (Option A)
5x = 35 - 10 = 25, so x = 5
To find the cost price when selling price and profit percentage are known, use the relationship: \(\text{Selling Price} = \text{Cost Price} \times (1 + \text{Profit\%}/100)\)
Step 1: Set up the profit formula
When a shopkeeper makes a 25% profit, the selling price is 125% of the cost price.
Step 2: Express in terms of cost price
Step 3: Solve for cost price
Step 4: Calculate the final answer
Verification: If CP = Rs. 480, then profit = \(600 - 480 = 120\), and profit% = \(\frac{120}{480} \times 100 = 25\%\) ✓
Answer: The cost price was Rs. 480 (Option B)
3x + 5x = 80; 8x = 80; x = 10. Numbers are 30 and 50
SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1200
Time = 6.5 hours; Speed = 195/6.5 = 30 km/h
35% of 2000 = 700; 20% of 700 = 140
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