Q1. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was
(a) Rs. 1/20 P
(b) Rs. 9/20 P
(c) Rs. 9/10 P
(d) Rs. 10/9 P
Q2. 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. 1202
(b) Rs. 1190
(c) Rs. 1160
(d) Rs. 1000
Q3. On selling an article for Rs. 651, there is a loss of 7%. The cost price of that article is
(a) Rs. 744
(b) Rs. 751
(c) Rs. 793
(d) Rs. 700
Q4. A man does double the work done by a boy in the same time. The number of days that 3 men and 4 boys will take to finish a work which can be done by 10 men in 8 days is
(a) 4
(b) 8(3/5)
(c) 16
(d) 7(3/11)
Q5. P can do (1/4)th of work in 10 days, Q can do 40% of work in 40 days and R can do (1/3)rd of work in 13 days. Who will complete the work first?
(a) P
(b) Q
(c) R
(d) Both P and R
Directions— ( 6–10) Study the following graph carefully to answer the questions that follow—
The following line graph gives distance (in km) travelled by five different trucks in a day.
Q6. What is the respective ratio of the distance travelled by Truck A to the distance travelled by Truck D?
(a) 17: 19
(b) 11: 15
(c) 19: 17
(d) 15: 11
Q7. What is the average distance travelled by all the Trucks together?
(a) 510 km
(b) 515 km
(c) 425 km
(d) None of these
Q8.If Truck C covered the given distance at the average speed of 55 km/hr, what was the time taken by it to cover this distance?
(a) 12 hours
(b) 10 hours
(c) 8 hours
(d) 6 hours
Q9.The distance travelled by Truck A is approximately what per cent of the total distance travelled by Truck E and C together?
(a) 44
(b) 50
(c) 52
(d) 58
Q10. If the time taken by Truck B to cover the given distance was 8 hours, what was the average speed of the truck?
(a) 51·75 km/hr
(b) 45·25 km/hr
(c) 52·25 km/hr
(d) 43·75 km/hr
Solutions:
S1. Ans (d)
Sol. C.P. of B = 4/3P
C.P. of B = 4/3P x 5/6
= 10/9P
S2. Ans (b)
Sol. S.P. = 1400 x 85/100
=1190
S3. Ans (d)
Sol. C. P. = 651 x 100/93
= 700 Rs.
S4. Ans.(c)
Sol.
M = 2B
3M + 4B = 3M + 4 × M/2
= 3M + 2M
= 5M
10M × 8 days = 5M × x days
x days = 16 days
S5. Ans.(c)
Sol.
P: 1/4 work → 10 days
Full work → 40 days
Q: 40% of work → 40 days
Full work → 100 days
R: 1/3 of work → 13 days
1 work → 39 days
R will finish the work first
S6.Ans.(c) Required ratio = 475: 425 = 19 : 17
S7.Ans.(d) Total distance travelled by all trucks = 475 + 350 + 550 + 425 + 525 = 2325 km
Average distance = 2325/5 = 465 km.
S8.Ans.(b) Time taken by truck C = 550/55 = 10 hours.
S9.Ans.(a) Required percentage =( 475)/ ( 550 + 525) ] X 100 = 44% (approx)
S10.Ans.(d) Speed of truck B = 350/8 = 43.75 km/hr
