Percentage Questions with Solutions — Set 1 (Q1 to Q10)

This set contains Percentage Questions with Solutions — Set 1 (Q1 to Q10) covering a mix of question types and difficulty levels — from basic to advanced — exactly as asked in real competitive exams.

Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.

✏️ Attempt each question on your own first — then check the solution below.

Percentage Questions 1 to 10 with Solutions

1. If \(62\frac{1}{2}\)% of a number is added with itself then the result becomes 1560. Find the original number.

2. If \(37\frac{1}{2}\)% of a number is subtracted from itself then the result becomes 10500. Find the original number.

3. If \(16\frac{2}{3}\)% of a number is added with itself then the result becomes 15684. Find the original number.

4. If \(15\frac{1}{7}\)% of a number is subtracted from itself then the result becomes -2032. Find the original number.

5. If \(11\frac{1}{9}\)% of a number is added with itself then the result becomes 1800. Find the original number.

6. What is 10% of 40% of 75% of 90.

7. If 10% of (A + B) = 30% of (A – B) then find A:B.

8. 25% of what number is 40.

9. If 72 is added in a number then number becomes \(57\frac{1}{7}\)% of itself. Find the number.

10. If 1953 is added in a number then number becomes \(444\frac{4}{9}\)% of itself. Find the original number.

Check your answers below. Each solution is written exactly the way a student writes in their own notebook — clear, simple and easy to follow.

1. If \(62\frac{1}{2}\)% of a number is added with itself then the result becomes 1560. Find the original number.
Sol:

⟹ 5 + 8 = 13 ⟶ 1560
                  1 ⟶ 120
∴ original number = 8 × 120 = 960      Answer

2. If \(37\frac{1}{2}\)% of a number is subtracted from itself then the result becomes 10500. Find the original number.
Sol:

3. If \(16\frac{2}{3}\)% of a number is added with itself then the result becomes 15684. Find the original number.
Sol:

4. If \(157\frac{1}{7}\)% of a number is subtracted from itself then the result becomes -2032. Find the original number.
Sol:

5. If \(11\frac{1}{9}\)% of a number is added with itself then the result becomes 1800. Find the original number.
Sol:

6. What is 10% of 40% of 75% of 90.
Sol:
\(\frac{1}{{10}} \times \frac{4}{{10}} \times \frac{3}{4} \times 90\)
 = \(\frac{3}{{10}} \times 9\)
= \(\frac{{27}}{{10}}\) 
= 2.7           Answer

7. If 10% of (A + B) = 30% of (A – B) then find A:B.
Sol:
10% × (A + B) = 30% × (A – B)
\(\frac{1}{{10}}\)(A + B) = \(\frac{3}{{10}}\)(A – B)
A + B = 3A – 3B
⟹ 4B = 2A
⟹ \(\frac{A}{B} = \frac{4}{2}\)
= 2:1        Answer

8. 25% of what number is 40.
Sol:

9. If 72 is added in a number then number becomes \(57\frac{1}{7}\)% of itself. Find the number.
Sol:

10. If 1953 is added in a number then number becomes \(444\frac{4}{9}\)% of itself. Find the original number.
Sol:

✅ Well done on completing Set 1!

Continue practising with Percentage Questions 11 to 20 → Set 2 or revisit the Percentage Concept Page to strengthen your formulas and tricks before moving ahead.

Consistent practice is the key to mastering percentage for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Percentage on Wikipedia before attempting the next set.

This page is part of our complete series of percentage questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core percentage concept before your exam day.