Percentages — conversion and change

Fraction-percent conversion and increase/decrease.

Prerequisites

No prior lessons required — this is your entry point to JKSSB Finance Accounts Assistant.

FAA mathematics is school-level but time-pressured. Percentages appear as quick MCQs — you must convert, compare, and spot increase/decrease without a calculator habit that wastes seconds.

Core conversions

To convert fraction → percent, multiply by 100: $\frac{3}{8} = 37.5\%$ .
To convert percent → fraction, divide by 100: $12.5\% = \frac{1}{8}$ .

81

Increase and decrease

If a value increases by $p\%$ , multiply by $\left(1 + \frac{p}{100}\right)$ .

If it decreases by $p\%$ , multiply by $\left(1 - \frac{p}{100}\right)$ .

Successive changes multiply — a 10% rise then a 10% fall is not net zero.

Exam discipline

On the real OMR, a wild guess costs 0.25 marks. Practice here builds accuracy first; the problem set shows exam-weighted totals so you feel the penalty.

Practice

FAA exam rules: −0.25 marks per wrong MCQ. Blank is better than a wild guess.

Practice 1

$\frac{3}{8}$

37.5%62.5%30%38%

Practice 2

$A salary of Rs. 20,000 increases by 15%. New salary (nearest rupee)?$

Hint

Multiply by 1.15.

Mastery checks

Pass each skill by answering correctly on 2 of 3 checks (fewer if fewer are available). Retry wrong answers until you succeed.

Wrong answers show the FAA −0.25 penalty as a reminder — mastery still allows retries.

Percent ↔ fraction

0/1 verified

Check 1

$12.5% is equal to:$

1/41/61/81/10

Percent increase and decrease