Questions to Practice Mixed Concepts of Quantitative Techniques
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Questions to Practice Mixed Concepts of Quantitative TechniquesThe average weight of ten students is 40 kg and if we add another student, the average weight increases by 2 kg, find the weight of the new student?The average of 11 terms is 50 and the average of first 5 terms are 55 and the average of last five terms are 45. Find the 6th term.Suresh bought 70 kg of sugarcane for Rs. 60 per kg and also paid 2000 on its transportation. After manufacturing 50 kg sugar from it, he sold the sugar at the rate of Rs. 85 per kg. Calculate the final profit or loss percentage.If a commodity was marked at Rs. 12000 and then was sold at 15% discount, what is the selling Price?If an antique coffee mug was sold at a discount of 30% on the price marked and when it is sold at 20% discount, the price increasSes by Rs. 200. Find the original selling PriceAshima bought two tables at Rs. 5000 each. She sell out the one table at a loss of 15%. At what profit should she sell the remaining table to get an overall profit of 20%.Runner A is running at 6/7th of the speed of Runner B. If runner B covers 500 km in 10 hours, calculate the time taken by Runner A to cover a distance of 100 km.A train with 170 m in length covers a platform of 200 m length in 100 second. Calculate the speed of train.Calculate the time taken by a train of 200 m. running at the speed of 75 km/h to overtake a train of 75 m length running at the speed of 30 km/h.DO IT YOURSELF!!If the average of 10 observations is 70 and later it was observed that that 52 was misread as 25, calculate the new average. SolutionSum of weight of 10 students =40* 10 = 400 kgSum of 11 students = (400 + x) kgAs per the question,42 = (400+x)/11X = (42* 11) – 400 = 462 – 400 = 62 kg Sum of 11 terms = sum of first 5 terms + 6th term+ sum of last five terms(11*50) = (55*5) + 6th term + (45*5)550 = 275 + 6th term + 2256th term = 550- 500 = 50 Cost Price = (70*60) + 2000 = 4200 + 2000 = Rs. 6200Selling Price = 50* 85 = Rs. 4250Loss Percentage = (1950/ 6200)*100 = 31.4% Selling Price = 12000 – (15/100)*12000 = 12000 – 1800 = Rs. 10200 Let the marked price of the mug be Rs. x Price at 20% discount = x – (20/100)*x = x- x/5 =4x/5 Price at 30% discount = x – (30/100)*x x- (3x/10) = 7x/10As per the question, 4x/5 – 7x/10 = 200(8x – 7x)/10 = 200x/10 = 2000x = Rs. 2000Original selling price = 2000 – (30/100)*2000 = 2000 – 600 = Rs. 1400 Overall Cost Price = 10000Selling Price of table one = 5000 – (15/100)* 5000 = 5000 – (3/20)*5000 = 5000- 750 = Rs. 4250Or an overall profit of 20%, the selling price = 10000+ (20/100)* 10000 = 10000 + 2000 = Rs. 12000The price at which the second table be sold = 12000 – 4250 = Rs. 7750Required profit percentage = (2750/ 5000)*100 = 55% Speed of Runner B = 500/10 = 50 km/hSpeed of Runner A = (6/7)*50 = 42.8 km/hTime taken = 100/ 42.8 = 2.3 hours Distance covered = 170+ 200 = 370m.Time taken = 100 secondsSpeed = 370/100 = 3.7 m/s Total distance = 200 + 75 = 275 m
Relative speed = 75- 30 = 45 km/hr = 12.5 m/sec
Therefore time taken= 275/12.5 = 22 seconds (function( $ ) {
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