# RRB NTPC Mathematics Quiz : 13th August

Dear aspirants,

As you all know, RRB NTPC Exam will be held in the month of September-October 2019. So we are here to help you with the Mathematics subject. We are providing daily quantitative aptitude quizzes, which will help you to score good marks in this section. We aim to provide the best study material to our readers with exam level questions to help them get used to the recent pattern. Attempt this quiz and check your preparation.

Q1. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
(a) 32/7%
(b) 60/11%
(c) 10%
(d) 12%

S1. B
Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800
Gain = (S.P.) – (C.P.) = Rs.(5800 – 5500) = Rs. 300.
Gain % = (300 x 100)X5500 = 60/11%

Q2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
(a) 30%
(b) 70%
(c) 100%
(d) 250%

S2. B
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 – 125) = Rs. 295.
Required percentage = (295 x 100)420 % = 1475/21% = 70% (approximately)
Q3. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
(a) 3
(b) 4
(c) 5
(d) 6
S3.C
C.P. of 6 toffees = Re. 1
S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5
For Rs. 6/5 , toffees sold = 6.
For Re. 1, toffees sold = (6 x 5)/5 = 5

Q4. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
(a) Rs. 45
(b) Rs. 50
(c) Rs. 55
(d) Rs. 60

S4.D
(C.P. of 17 balls) – (S.P. of 17 balls) = (C.P. of 5 balls)
C.P. of 12 balls = S.P. of 17 balls = Rs.720.
C.P. of 1 ball = Rs.720/12 = Rs. 60

Q5. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
(a) No profit, no loss
(b) 5%
(c) 8%
(d) 10%

S5. B
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
Gain = (80 x 100)/1600 % = 5%

Q6. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
(a) Rs. 1090
(b) Rs. 1160
(c) Rs. 1190
(d) Rs. 1202

S6. C
S.P. = 85% of Rs. 1400 = Rs.(85 x 1400)/100 = Rs. 1190

Q7. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
(a) 3.5
(b) 4.5
(c) 5.6
(d) 6.5

S7. C
Cost Price of 1 toy = Rs. 375/12 = Rs. 31.25
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 – 31.25) = Rs. 1.75
Profit % = (1.75 x 100)/31.25 % = 28/5 % = 5.6%

Q8. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
(a) 30%
(b) 100/3%
(c) 35%
(d) 44%

S8. D
Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.
C.P. of 30 articles = Rs. (5 x 30)/6 = Rs. 25
S.P. of 30 articles = Rs. (6 x 30)/5 = Rs. 36
Gain % = (11 x 100)/25 % = 44%

Q9. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
(a) Rs. 18.20
(b) Rs. 70
(c) Rs. 72
(d) Rs. 88.25

S9.C
C.P. = Rs. (100 x 392)/122.5 = Rs. (1000 x 392)/1225 = Rs. 320
Profit = Rs. (392 – 320) = Rs. 72

Q10. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
(a) 15
(b) 16
(c)18
(d) 25

S10. B
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 – x)
(20 – x)x x 100 = 25
2000 – 100x = 25x
125x = 2000
x = 16