Q 1 - Find the single discount which is equivalent to successive discounts of 15% and 16%.
A. 36.6
B. 31
C. 28.6
D. 28.6
Successive discount is calculated as X+Y-XY/100 % Successive discount =15+16-15*16/100=31-240/100=28.6 %
Q 2 - The true discount on a bill due 6 months hence at 8% per annum is Rs. 296. The amount of the bill is:
A. Rs.7400
B. Rs.3700
C. Rs.1750
D. Rs.925
Let P.W. be Rs. X. Then, S.I. on Rs. X at 8% for 6 months = Rs. 296. X*8* (6/12) * (1/100) =296 X= (296*100)/4=7400 P.W. = Rs. 7400.
Q 3 - A trader owes a merchant Rs. 5014 due 1 year hence. The trader wants to settle the account after 6 months. If the rate of interest 6% per annum, how much cash should he pay?
A. Rs.5050
B. Rs.3825.22
C. Rs.3325.25
D. Rs.4867.97
Required money = present worth of Rs. 5014 due 6 months hence= Rs. 5014*100/( 100+(9*6/12)) = Rs. 4867.96
Q 4 - A man buys a watch for Rs. 2825 in cash and sells it for Rs. 3300 at a credit of 1 year. If the rate of interest is 15% per annum, the man:
A. Rs.150
B. Rs.175
C. Rs.475
D. Rs.500
S.P. = P.W. of Rs. 3300 due 1 year hence = 3300*100/( 100+(10*1))=Rs.3000 So Gain = Rs. (3000-2825) =Rs. 175.
Q 5 - Find a single discount which is equivalent to three successive discounts of 15%, 16% & 20%.
A. 40%
B. 41.58%
C. 42.88%
D. 43.76%
Successive discount is calculated as X+Y-XY/100 % Successive discount =15+16-15*16/100=31- 240/100=28.6 % Successive discount =28.6+20-28.6*20/100=48.6-5.72=42.88%
Q 6 - The present worth of Rs 2800 due 2 years henceforth at 6% p.a. is:
A. Rs.2464
B. Rs.2500
C. Rs.3360
D. Rs.3100
P.W. = ((100*A))/(100+(R*T))- Rs {(100*2800)/(100+(6*2))} =Rs ((100*2800)/112)=Rs 2500
Q 7 - The basic hobby and the true rebate on a sure aggregate for a given time and at a given rate are Rs 85 and Rs 80 separately. The entirety due is:
A. Rs.1360
B. Rs.1450
C. Rs.1800
D. Rs.6800
Sum due = ((S.I.)*(T.D.))/((S.I.)-(T.D.))=Rs ((85*80))/((85-80))=((85*80))/5= Rs 1360
Q 8 - A man bought dairy animals for Rs 3000 in real money and sold it that day for Rs 3660 due 2 years consequently. In the event that the rate of hobby is 10% p.a., the man picks up:
A. 0%
B. 5%
C. 7.5%
D. None of these
C.P. = Rs 3000 S.P. = P.W. of Rs 3660 due years hence = Rs ((100*3660))/(100+(10*2))=Rs ((100*3660))/120 = Rs 3050 ∴ Gain% = (50/3000*100)% = 5/3%
Q 9 - In the event that Rs 20 be permitted as genuine rebate on a bill of Rs 260 due after at some point, what will be the genuine markdown on the same bill for half of the time?
A. Rs.10
B. Rs.10.40
C. Rs.13
D. Rs.15.20
S.I. on Rs (260-20) for a fixed time = Rs 20 S.I. on Rs 240 for half the time = Rs 10 T.D. on Rs 250 = Rs 10 T.D. on Rs 260 = Rs (10/250*260) = Rs 10.40
Q 10 - A businessperson needs to pay to a wholesaler a total of Rs 10028 following 1 year. He needs to pay the obligation following 3 months. On the off chance that the rate of hobby is 12% p.a., the amount he will need to pay?
A. Rs.9200
B. Rs.9600
C. Rs.9560
D. Rs.9025.20
Payment to be made = P.W. of Rs. 10028 due 9 months hence = Rs ((100*10028))/(100+(12*3/4) )= Rs ((100*10028))/109= Rs 9200