If a student receives a scholarship of $2000 for achieving the highest score in

Practice Questions

If a student receives a scholarship of $2000 for achieving the highest score in mathematics, and this amount is to be distributed among 5 students in the ratio of their scores 3:2:4:1:5, how much will the student with the highest score receive? (2021)

$600
$800
$1000
$1200

Questions & Step-by-Step Solutions

Step 1: Identify the total ratio parts by adding the numbers in the ratio: 3 + 2 + 4 + 1 + 5.
Step 2: Calculate the total parts: 3 + 2 + 4 + 1 + 5 = 15.
Step 3: Identify the part for the student with the highest score, which is 5.
Step 4: Calculate the amount the highest scoring student will receive using the formula: (part for highest score / total parts) * total scholarship.
Step 5: Substitute the values into the formula: (5 / 15) * 2000.
Step 6: Simplify the fraction: 5 / 15 = 1 / 3.
Step 7: Calculate the final amount: (1 / 3) * 2000 = 1000.

Ratio Distribution – Understanding how to distribute a total amount based on given ratios.
Proportional Calculation – Calculating the share of an amount based on the proportion of parts in a ratio.

If a student receives a scholarship of $2000 for achieving the highest score in

Practice Questions

Questions & Step-by-Step Solutions

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