1022.A city has a population of 300000 out of which 180000 are males. 50% of the population is literate. If 70% of the males are literate, then the number of literate females is:#
- A24000
- B30000
- C54000
- D60000
All 37 Percentages questions the Punjab PSC asked between 2015 and 2026, each with a worked answer and the exam it came from. First 10 free to read.
5 of these 37 were set in more than one exam — the Commission reuses this topic, which is the argument for working through it rather than skimming it.
Free to read, with the worked answer and the exam each one came from. The book prints this topic in the order the Commission favours, so these are the ones to know first.
Study the following information to answer the questions given below :
5% of the population of state are below poverty line and 80% of these are literates
Half of 300000 people are literate, i.e. 150000. Literate males are 70% of 180000 = 126000, so literate females = 150000 − 126000 = 24000. > total literate = 50% × 300000 = 150000 > literate males = 70% × 180000 = 126000; females = 24000.
Successive changes of +20% and −20% give a net change of x + y + xy/100. > 20 − 20 + (20 × −20)/100 = −4% So the salary falls by 4% overall (100 → 120 → 96). A rise and an equal fall of x% always leave a net loss of x²/100 %, here 400/100 = 4%.
A 150% increase multiplies the numerator by 2.5 and a 350% increase multiplies the denominator by 4.5. Let the original fraction be n/d. > (2.5n)/(4.5d) = 25/51 → n/d = 25/51 × 4.5/2.5 = 25/51 × 9/5 > n/d = 45/51 = 15/17.
Percentage excess is measured relative to the smaller quantity, 10. > (100 − 10)/10 × 100 = 90/10 × 100 = 900% So 100 is 900% more than 10. The common trap is 90%, which would be the answer only if the base were 100.
The difference between 55% and 25% of a number is 30% of it. > 30% of N = 11.10 → N = 37 > 75% of 37 = 27.75
Runs from boundaries = 3 x 4 = 12; from sixes = 8 x 6 = 48; total from hits = 60. Runs by running = 150 - 60 = 90. Required percentage = (90/150) x 100 = 60%.
28% of 40000 is 11200, so ₹28800 is left over. > Groceries take 4 of the 8 parts = 14400 > 14400 − 11200 The difference is ₹3200.
Let the number be x. The correct result is 4x/5 = 0.8x, while Ganesh obtained 5x/4 = 1.25x. The error is measured against the correct value. > error = 1.25x − 0.8x = 0.45x > % error = 0.45x ÷ 0.8x × 100 = 56.25% The division 0.45 ÷ 0.8 gives exactly 56.25%, not 56.75%.
40% of the males is 8800, so the males number 22000 and one ratio part is 2000. > Females 20000, children of 10+ 18000, children below 10 = 10% of 20000 = 2000 > Total = 62000, and 5% of it = 3100 are below the poverty line > 80% of them read, so 20% do not: 20% of 3100 620 persons below the poverty line are illiterate.
40% of the males equals 8800, so the males number 22000. > 11 parts = 22000, so 1 part = 2000 > Females = 10 × 2000 = 20000, children of 10 and above = 9 × 2000 = 18000 > Children below 10 = 10% of 20000 = 2000 > 22000 + 20000 + 18000 + 2000 = 62000
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The exams behind these questions, most first. A paper here is a sitting: a question set in two papers of the same sitting counts once.
| Exam | Year | Questions |
|---|---|---|
| Punjab Civil Services (Prelims) — CSAT | 2025 | 8 |
| Scientific Assistant Toxicology | 2018 | 4 |
| Deputy Controller | 2018 | 3 |
| Assistant Director, Industrial Training Principal Junior Scale Industrial Traini | 2018 | 3 |
| Senior Scientific Officer (Food Safety) Microbiology | 2018 | 3 |
| Enquiry Officer | 2018 | 3 |
| Drugs Control Officer | 2018 | 3 |
| Senior Scientific Officer (Drugs) | 2018 | 3 |
| Principal, Industrial Training Institute (Women) | 2024 | 2 |
| Analysts | 2022 | 2 |
| Inspector, Cooperative Societies | 2022 | 2 |
| Analysts | 2019 | 2 |