Hello Dear Students! Hope everything is fantastic! Here on this page we (Net Ex.) has arranged a set of questions on ‘Percentage and its applications’ for the students of Navodaya Vidyalaya Entrance Exam (JNVST) 2024. The prescribed questions on Percentage and its applications will very important for this year 2024.
Percentage and its applications Class 6 Navodaya Vidyalaya 2024:
Full Mark : 100 Time : 3 hours
(1) Express the following in fractions and decimals. (5 × 1 = 5)
(i) 55%
(ii) 65%
(iii) 56%
(iv) 96%
(v) 28%
(2) Convert the following into percentages :(5 × 1 = 5)
(i) 1/3
(ii) 0.85
(iii) 1/12
(iv) 5/10
(v) 150/25
(3) Find the following percentages.(10× 1 = 10)
(i) 18% of 50
(ii) 30% of 25
(iii) 85% of 40
(iv) 3.8% of 1000
(v) 50% of 10000
(vi) 90% of 900
(vii) 65% of 650
(viii) 18% of 460
(ix) 18.5% of 5890
(x) 9.5% of 3500
Solve the following questions : (3 × 10 = 30)
(4) Rajat has Rs.75. He gives 20% of it to his brother. What remains with him?
(5) A book seller sold a book for Rs.70 at a gain of 40%. Find the profit.
(6) A shopkeeper sold a toy for Rs.96 at a loss of 20%. Find the loss.
(7) Sara got 484 marks out of 550 marks. Find the percentage of her marks.
(8) In a town, 35% of 15,000 voters did not cast vote in an election. How many people cast vote?
(9) The 60% length of a road is 75 km. Find the total length of the road.
(10) 100 liters pure milk contains 50 liters cream. What is the percentage of cream in pure milk?
(11) Every 3 persons are using mobile out of 5 persons in India. What is the percentage of mobile users?
(12) 85% of the students in a school of 300 students passed an annual examination. How many of them are failed?
(13) Suravi made a suit of 5.5 meters cloth out of 44 meters. What percentage of the cloth did she use for the suit?
Solve the given Problems :(5 × 10 = 50)
(14) Pari bought a apple tab for Rs 1140,000 and paid a markup of Rs 20,000 for 2 years. What markup rate did she pay?
(14) Calculate the amount payable as Ushr by a farmer who earned Rs88,460. Find the actual amount, if rate of Ushr is 5%.
(15) Property tax Rs 18,720 was paid when the worth of property is Rs 1,560,000. Find the percentage of property tax.
(16) Sukesh bought 80 guavas at the rate of 4 guavas for Rs.7 and sold at the rate of 5 guavas for Rs.8. Find if he is in profit or loss and also find its percentage, when 25% of bananas have been spoiled.
(19) In a test match, Dhoni made 134 runs in the first innings and 41 runs in the 2nd innings. Find the percentage of Dhoni’s score if total score in both innings of Pakistan was 500 runs.
(20) The cost price of a jacket is Rs200 and marked price is 50% more than the cost price. But the shopkeeper sold it at 25% discount.
(i) Find the marked price.
(ii) Find the discounted price.
(21) Kumar traveled 75 km by bus and 125 km by train. Find what percent of the total journey did he travel by bus and what percent by train?
(22) Jagdish purchased 50 metres cloth for Rs 3140. He sold 20 metres cloth at the rate of Rs30 per metre and 30 metres cloth at the rate of Rs35 per metre.
(i) Find if Jagdish is in profit or loss.
(ii) Find profit or loss percentage.
(23) 12 % profit on a computer is Rs.540.
(i) Find the cost price of the computer
(ii) Find the sale price of the computer.