Q1.
A person covers a distance in 40 minutes. If he runs at a speed of 45km/h on an average. find the speed at which he must run to reduce
the time of journey to 30 minutes.
(a) 90km/h (b) 60km/h (c) 30km/h (d) 40km/h
Solution.
Time taken and speed are inversely proportional
S1 T1 = S2 T2
45 x 40 = S2 x 30
S2 = 60 km/h
Solution
Q2.
A trader bought a T.V at 20% discount on its original price. He sold it at a 40% increase on the price he bought it . What percentage of
profit did he make on the original price.
(a) 16% (b) 12% (c) 13% (d) 15%
Solution.
percentage of profit = a + b + ab/100
= 40 - 20 - 800/100
= 12%
Solution
Q3.
A watch passes through three hands and each gains 25%. If the third sells it for Rs 250. what did the first pay for it ?
(a) Rs. 96 (b) Rs. 64 (c) Rs. 128 (d) Rs. 100
Solution.
= 250(100/125)3
= 250 x (4/5)3
= 128
Solution
Q4.
5 men can prepare 10 toys in 6 days working 6hrs a day. Then in how many days can 12 men prepare 16 toys working 8 hrs a day ?
(a) 3 days (b) 4 days (c) 5 days (d) 6 days
Solution.
(a) 3 days
W2M1D1T1 = W1M2D2T2
Solution
Q5.
A person sells an article at a profit of 10% . If he had bought it at 10% less and sold it for Rs. 3 more, he would have gained 25%.
find the cost price .
(a) Rs.120 (b) Rs.100 (c) Rs.150 (d) Rs.80
Solution.
(a) Rs.120
Solution
Q6.
What annual payment will discharge a dept of Rs.900 in 4 yrs at 4% per annum ?
(a) Rs.100 (b) Rs.200 (c) Rs.212.26
(d) Rs.350
Solution.
=
900 x 100/4 x 100 + 4 x 3 x 4/2
=
90000/400 + 24
=
90000/424
= 212.26
Solution
Q7.
A sum of money double itself in 4 yrs at a S.I. In how many years will it amount to 10 times itself.
(a) 30yrs
(b) 36yrs (c) 40yrs (d) 45yrs
Solution.
x times in = No. of yrs to double (x-1)
10 times in = 4 x (10-1)
= 4 x 9
= 36yrs
Solution
Q8.
If A's salaary is 25% more than that of B, then how much percent is B's salary less than that of x.
(a)
5% (b) 10% (c) 15% (d) 20%
Solution.
=
r/100 + r
x 100 %
=
25/125
x 100 %
= 20%
Solution
Q9.
A sum of Rs. 5000 deposited at C.I becomes double after 5 years. After 20 years, it will become.
(a) 80k (b) 90k
(c) 70k (d) 60k
Solution.
(n1)1/t1 = (n2)1/t2
(2)1/5 = (x)1/20
(2)20/5 = x
24 = x
x = 16 times
So, the sum become = 5000 x 16
= 80,000
Solution
Q10.
The effective annual rate of 6% per annum payable halfyearly.
(a) 6.02% (b) 6.09% (c) 6.06% (d) 7%
Solution.
(b) 6.09%
Note: ie = (l + i/m)m - 1
ie = effective rate
i = Normal rate
m = No. of compounding
Solution
