Percentage Questions :Percentage Questions are usually asked in all competitive exams like SSC, SBI, IBPS, RBI, LIC, RRB, AAI, DRDO, ISRO, NTR, FSSAI, CWC, LIC, SSC CGL, Railways and other state government exams. Percentage Questions are very helpful for all the other topics of Arithmetic if you know the concept and tricks of percentage. On this page, we are providing all varieties of Percentage Questions along with previous year Percentage Questions. Percentage Questions require basic knowledge of all the Arithmetic Chapters and a good amount of practice. Percentage is a very important section of Quantitative Aptitude. Percentage Questions carry a good weightage of marks from Quantitative Aptitude section

1. If x% of x + y% of y = 2% of xy, then what percent of x is y? यदि x का x% + y का y% = xy का 2%, तो x, y का कितना प्रतिशत है?

125%

Option “A” is correct. x% of x + y% of y = 2% of xy It can be written as; 0.01x^{2 }+ 0.01y^{2} = 0.02 × xy ⇒ x^{2 }+ y^{2} = 2xy ⇒ x^{2 }+ y^{2} – 2xy = 0 ⇒ (x – y)^{2} = 0 ⇒ x = y ∴ x is 100% of y.

2. There are three friends P, Q and R. The income of Q is 25% more than the income of P and the income of R is 20% more than the incomes of Q. Income of R is what percent more than the income of P? तीन दोस्त P, Q और R हैं। Q की आय P की आय से 25% अधिक है और R की आय Q की आय से 20% अधिक है, तो R की आय P की आय से कितने प्रतिशत अधिक है?

40%

50%

60%

30%

Option “B” is correct.माना कि P, 4x है।Q की आय = 4x × [5 / 4] = 5xR की आय = 5x × [6 / 5] = 6x∴ आवश्यक प्रतिशत = [(6x – 4x) / 4x] × 100 = 50%

3. A is 20% more than the B if A is increased by 10% and B increased by 20%, then by what percent A is more than B? A, B से 20% अधिक है, यदि A में 10% और B में 20% की वृद्धि की जाती है, तब A, B से कितने प्रतिशत अधिक है?

12%

5%

15%

10%

Option “D” is correct.Let the value of B be 100x.Value of A = 100x × [6/5] = 120xValue of A after increment = 120x × [11/10] = 132xValue of B after increment = 100 × [6/5] = 120xRequired percentage = [(132x – 120x)/120x] × 100 = 10%

4. If the income of A is 24% less than income of B, then what percentage is B’s income is more than that of A? यदि A की आय, B की आय से 24% कम है, तो B की आय, A की आय से कितने प्रतिशत अधिक है?

600/17%

600/29%

600/19%

600/31%

Option “C” is correct.Let the income of B be 100xIncome of A = 100x × (76/100) = 76xIncome of B more than the income of A by = 100x – 76x = 24xRequired percentage = (24x/76x) × 100 = 600/19%

5. If B exceed A by 25%, then A is less than B by यदि B, A से 25% अधिक है, तो A, B से कितना प्रतिशत कम है?

10%

90%

20%

50%

Option “C” is correct.Given:B exceed A by 25%Calculation:[(100 + 25)/100] × A = B5A = 4BA/B = 4/5Let A = 4x and B = 5xB – A = 5x – 4x = xRequired percentage = (x/5x) × 100 = 20%∴ A is less than B by 20%

6. The price of oil is increased by 20%. However, its consumption decreased by 8 1/3%. What is the percentage increase or decrease in the expenditure on it? तेल के मूल्य में 20% की वृद्धि होती है। हालाँकि, इसकी खपत में 8 1/3 की कमी आती है। इसके व्यय में प्रतिशत वृद्धि या कमी क्या है?

Increase by 5%

Decrease by 5%

Decrease by 10%

Increase by 10%

Option “D” is correct.Let the price of the oil be Rs. xAccording to the question = x × (120/100) × (11/12) = 1.1xPercentage of expenditure increased by = [(1.1x – x)/x] × 100 = 10%

7. 60% of a number is 168, then what is the number? एक संख्या का 60%, 168 है, तो वह संख्या क्या है?

200

280

320

240

Option “B” is correct.Let the number be xAccording to question,x × 60% = 168⇒ x × 3/5 = 168⇒ x = 280∴ The required number is 280.

8. What percentage of 5.6 kg is 140 gram? 140 ग्राम, 5.6 किलो का कितना प्रतिशत है?

2

1.8

2.5

1.5

Option “C” is correct.Let the required percentage be x%According to question,x% of 5.6 kg = 140 gram⇒ 5600 × x/100 = 140∴ x = 2.5

9. 12.5% of A = 55. What is the value of A?

550

440

480

500

Option “B” is correct.12.5% of A = 55⇒12.5/100×A=55⇒12.5100×A=55⇒5/40×A=55⇒540×A=55⇒1/8×A=55⇒18×A=55⇒ A = 440∴ The value of A is 440.

10. What is the value of 12.5% of 30% of 1440? 1440 का 30% का 12.5% का मान ज्ञात कीजिए।

64

44

54

50

Option “C” is correct.440 30% 12.5%⇒12.5/100×30/100×1440⇒12.5100×30100×1440⇒ (3/8) × 144⇒ 541440 का 30% का 12.5% का मान 54 है।