In 2020, the medical expense of a person increased by 80%. If his medi

In 2020, the medical expense of a person increased by 80%. If his medical expense in 2019 was 10% of his salary, then what percent of his salary was the medical expense in 2020?

20%
18%
16%
15%
This question was previously asked in
UPSC CBI DSP LDCE – 2023
Let the person’s salary in 2019 be S.
His medical expense in 2019 was 10% of his salary, which is 0.10 * S.
In 2020, the medical expense increased by 80%. The increase amount is 80% of the 2019 expense.
Increase = 80% of (0.10 * S) = (80/100) * (0.10 * S) = 0.80 * 0.10 * S = 0.08 * S.
The medical expense in 2020 is the 2019 expense plus the increase:
Expense in 2020 = (0.10 * S) + (0.08 * S) = 0.18 * S.
To express this as a percentage of his salary in 2020 (assuming salary remained the same, as implied by the question structure), we have:
Percentage = (Expense in 2020 / Salary) * 100%
Percentage = (0.18 * S / S) * 100% = 0.18 * 100% = 18%.
The key is to calculate the increase amount based on the original expense and then add it to the original expense to find the new expense.
This is a straightforward percentage calculation problem. If the base for the percentage (salary) changes, the question would specify the change in salary as well. Since it doesn’t, we assume the salary remains constant relative to which the expense percentage is calculated.
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