Calculate the value of 150% of 460 added to 24% of 650. What is the total numerical result when these two percentage amounts are summed?

Introduction / Context:
This question focuses on percentage calculations, which are extremely common in competitive exams, finance questions, and data interpretation. You must convert percentages into decimal multipliers and then apply them to the given base values before adding the results.

Given Data / Assumptions:

• We need 150% of 460.
• We also need 24% of 650.
• The final answer is the sum of these two quantities.

Concept / Approach:
To find a percentage of a number, convert the percentage to a decimal and multiply. For example, 150% equals 150/100, which is 1.5, and 24% equals 24/100, which is 0.24. After computing each part, we add them together to obtain the total amount requested.

Step-by-Step Solution:
Compute 150% of 460: 150% = 150/100 = 1.5, so 1.5 * 460.Multiply: 1.5 * 460 = 690.Compute 24% of 650: 24% = 24/100 = 0.24, so 0.24 * 650.Multiply: 0.24 * 650 = 156.Add the two results: 690 + 156 = 846.

Verification / Alternative check:
We can verify with approximate mental checks. 150% of 460 is the same as 460 plus half of 460. Half of 460 is 230, so 460 + 230 = 690, which matches. For 24% of 650, note that 25% of 650 would be 162.5, so 24% is a little less, around 156, which agrees with our exact calculation. Adding 690 and 156 clearly gives 846. The logic and the arithmetic both support the final result.

Why Other Options Are Wrong:

• 854 and 860 are slightly larger than 846 and could come from rounding or miscomputing 24% of 650.
• 895 is much too large and suggests a mistake such as adding or scaling the percentages incorrectly.
• 825 is smaller than 846 and might result from using 20% instead of 24% for the second part.

Common Pitfalls:

• Confusing 150% with 1.15 instead of 1.5.
• Incorrectly calculating the percentage of 650 by using 0.25 or 0.2 instead of 0.24.
• Adding the percentages together first and then applying the total to an incorrect base.

Final Answer:
846