Practice Questions on Profit and Loss of Numbers | Quantitative Techniques for CLAT PDF Download

Q1: Aarush buys a Bluetooth speaker for Rs. 6500 and sells it at a loss of 15%. Calculate the selling price of the Bluetooth speaker?
Ans: Cost Price of Bluetooth speaker  =  Rs. 6500
Loss percentage = 15%
Selling price = Cost price – loss
=   6500 – (15/100)*6500
=   6500 – 975
=  Rs. 5525

Q2: If a shopkeeper bought a commodity for Rs. 500, at what price should he sell it as to make a profit of 35%?
Ans: Cost price of the commodity = Rs. 500
Desired profit percentage = 35%
Selling price = Cost Price + Profit
= 500 + (35/100)* 500
=   500 + 175
= Rs. 675

Q3: If Suresh buys a truck for Rs. 50000 and spends 20000 on its repair and sells it for Rs. Rs. 53900. Find out the loss percent.
Ans: Total price incurred on truck = Cost Price of the truck
= 50000+ 20000
= Rs. 70000
Selling Price of the truck = Rs. 53900
Loss = S.P. – C.P.
= 70000- 53900
= Rs. 16100
Loss percentage = (16100/ 70000) *100
= 23%

Q4: If by selling 50 pencils for Rs. 60, a man loses 25%. At what price these 50 pencils should be sold to gain 20% profit?
Ans: Let the Cost Price of 50 pencils be x
Cost Price of 50 pencils = Selling price + loss
x = 60 + (25/100)*x
x = 60 + x/4
x-x/4 = 60
x = (60*4)/3
= Rs. 80
Selling price to gain 20% profit = 80+ (20/100)*80
= 80 + 16
= Rs. 96

Q5: If  pens were bought at the rate of 3 pens for Rs. 4 and then sold at the rate of  4 pens at Rs. 3, calculate the profit or loss percentage
Ans: Let the no. of articles bought be LCM of  3 and 4 = 12
Cost Price of 12 article = (4/3)*12 = Rs. 16
Selling Price of 12 article = (3/4) *12 = Rs. 9
Loss percentage = (7/16)*100 = 43.75%

Q6: Rahul mixes 25 kgs of sugar at Rs. 30 per kg with 45 kg of sugar at Rs 40 per kg and sells the mixture at Rs. 35 per kg. Find the loss percentage.
Ans: Cost Price of 70 kgs of rice = Rs. (25*30+ 45*40)
= Rs. 750+ 1800
= Rs. 2550
Selling Price of 70 kg rice = 70* 35
= Rs. 2450
Loss percent = [(2550-2450)/ 2550] * 100
= 3.9%

Q7: If the marked price of a shirt at shop A is Rs. 4000 and the discount offered on it by A is 20 %. On shop B, the same shirt is available at the discount of 35%. If the selling price of the shirt is same at both the shops, what is the marked price at shop B.
Ans: Selling Price by shop A =  4000- (20/100)*4000
= 4000- 800
= Rs. 3200
Selling price by A = Selling price by shop B
Therefore,
3200 = Marked Price – discount
3200 = Marked price – (35/100) * marked price
Marked Price = Rs. 4923(approx.)

Q8: Khushi sells two cups at Rs. 700 each. On one she gains 20% and on the other, she loses 20%. Find the whole gain or less percent.
Ans: Let the Cost price of the first cup on which she gains 20%  be x
Selling Price of first cup = x + (20/100)* x
700 = x +x/5
x = (700*5)/6
= Rs. 583 (approx.)
Let the Cost price of the first cup on which she loses 20%  be y
700 = y – (20/100)*y
700 =  y- y/5
y = (700*5)/ 4
=  Rs. 875
Total Cost price of two cups = 583+ 875 = Rs. 1458
Total Selling price of two cups = 700+700 = Rs. 1400
Loss Percentage = (58/ 1458)* 100
= 3.9%

Q9: If the selling price of the table lamp is Rs. 3000 and has been sold at 15% discount. Find the marked price of the lamp.
Ans: Let the marked price of the lamp be x.
Selling Price = Marked Price – Discount
3000 = x – (15/100)*x
x = (3000*20)/ 17
= Rs. 3529 (approx.)