A man purchases a cow for Rs.3000 and sold it on the same day allowing the buyer a credit of 2 years. If the buyer will pay Rs.3600 after 2 year at a rate of simple interest 50/7 % per annum, then the man has a gain of
A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. Find the rate of current and the speed of the man in still water.
OPtion
1) 3 km/hr and 8 km/hr
2) 5 km/hr and 12 km/hr
3) 4 km/hr and 11 km/hr
4) 3 km/hr and 12 km/hr
5) 4 km/hr and 10 km/hr
6) 5 km/hr and 11 km/hr
7) 7 km/hr and 14 km/hr
8) 6 km/hr and 15 km/hr
9) 3 km/hr and 4 km/hr
10)None of these
Solution
Let rate upstream = x kmph & rate downstream = y kmph
Then 30/x + 44/y = 10
and 40/x + 55/y = 13
On solving we get x = 5 and y = 11
So, rate upstream = 5 km/hr and rate downstream = 11 km/hr
Rate of current = 1/2(11-5) km/hr = 3 km/hr
Rate in still water = 1/2(11+5) km/hr = 8 km/hr
First number is 986
Then 9*8/8*6 = 72/48 = 7248 (it is second number)
Then 7*2/2*4/4*8 = 14/8/32 = 14832 (it is third number)
Then 1*4/4*8/8*3/3*2 = 4/32/24/6 = 432246 (it is fourth number)
Then 4*3/3*2/2*2/2*4/4*6 = 12/6/4/8/24 =1264824 (it is fifth number)
Similarly 1*2/2*6/6*4/4*8/8*2/2*4 = 2/12/24/32/16/8 = 2122432168
A has to pay Rs.220 to B after 1 year. B asks A to pay Rs.110 in cash and defer the payment of Rs.110 for 2 years. A agrees to it. Counting, the rate of interest at 10% per annum in this new mode of payment.
OPtion
1) A loses Rs 11
2) A gains Rs 9.45
3) A gains Rs 11
4) A loses Rs 9.45
5) A gains Rs 15
6) A gains Rs 7.34
7) A loses Rs 15
8) A loses Rs 7.34
9) There is no gain or loss to any one
10)None of these
Solution
A has to pay the P.W. (Present worth or Present value) of Rs. 220 due 1 year hence, which is
= Rs.(100*220 / 100+(10*1)) = Rs 200
Actually pays = Rs.[110 + P.W. of Rs. 110 due 2 years hence]
= Rs.[110 + (100*110 / (100+(8*2)) = 192.66
therefore A gains = Rs. 7.34
In a four digit number all the four digits are different and sum of all digits is 27. In the number 3 & 4 are not present. Ten's and unit's digits are least and greatest digits of the given number respectively; Sum of all possible results will be
All the four digits are different and sum of all digits is 27 so 0, 1, 2 can not be taken as digits. 3 & 4 are not present as given so available digit are
5, 6, 7, 8, 9
Only 5+6+7+9 = 27
So 8 will be rejected
now according to given condition last two digits are least & greatest of the number so last two digits are 5 & 9 possible no are
6759 + 7659 = 14418
A railway half ticket costs half the full fare but the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket for a journey between two stations is Rs. 362 and one full and one half reserved first class tickets cost Rs. 554. The reservation charges is.
Let first class fare be Rs. x and reservation charges be Rs. y. Then
x+y = 362 & (x+y)+(1/2 x + y) = 554
Therefore x+y = 362 & 3x + 4y = 1108
Solving these equations, we get y = 22
A owes B, Rs. 1120 payable 2 years hence and B owes A, Rs. 1081.50 payable 6 months hence. If they decide to settle their accounts forthwith by payment of ready money and the rate of interest be 6% per annum, then who should pay and how much.
OPtion
1) A, Rs.50
2) A, Rs.70
3) B, Rs.80
4) B, Rs.70
5) A, Rs.60
6) B, Rs.100
7) B, Rs.50
8) A, Rs.90
9) B, Rs.25
10)None of these
Solution
P.W. of Rs. 1120 due 2 years hence at 6%
= Rs. [100*1120 / 100+(6*2)] = Rs.1000
P.W. of Rs. 1081.50 due 6 month hence at 6%
= Rs. [100*1081.50 / 100+(6/2)]
= Rs. [100*1081.50 / 103]
= Rs. 1050
So A owes B, Rs. 1000 cash and B owes a Rs. 1050 cash.
therefore
B must pay Rs.50 to A.