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posted on 12 Mar 2024
1 The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
A. Rs. 72
B. Rs. 36
C. Rs. 54
D. Rs. 50
Answer: Option D
Solution
T.D.=B.G.×100R×T=Rs.(6×10012×1)=Rs.50
2.The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
A. 3 months
B. 4 months
C. 6 months
D. 8 months
Answer: Option B
Solution
S.I.onRs.1600 = T.D.onRs.1680.∴Rs.1600istheP.W.ofRs.1680,i.e.,Rs.80isonRs.1600at15%.∴Time=(100×801600×15)year=13year=4months.
3.Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
A. Rs. 4000
B. Rs. 4500
C. Rs. 5500
D. Rs. 6000
Answer: Option A
Solution
Letinvestmentin12%stockbeRs.xThen,investmentin15%stock=Rs.(12000−x)∴12120×x+15125×(12000−x)=1360⇒x10+325(12000−x)=1360⇒5x+72000−6x=1360×50⇒x=4000
4.Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
A. Rs. 4800
B. Rs. 5000
C. Rs. 5400
D. Rs. 5600
Answer: Option B
Solution
Lettheivestmentin9%stockbeRs.xThen,investmentin10%stock=Rs.(9800−x)975×x=1080×(9800−x)⇒3x25=9800−x8⇒24x=9800×25−25x⇒49x=9800×25⇒x=5000
5.A 6% stock yields 8%. The market value of the stock is:
A. Rs. 48
B. Rs. 75
C. Rs. 96
D. Rs. 133.33
Answer: Option B
Solution
For an income of Rs. 8, investment = Rs. 100.
For an income of Rs. 6,
investment =
Rs.(1008×6)=Rs.75
∴ Market value of Rs. 100 stock = Rs. 75.
6.Which is better investment: 11% stock at 143 or 934
% stock at 117?
A. 11% stock at 143
B. 934
% stock at 117
C. Both are equally good
D. Cannot be compared, as the total amount of investment is not given.
Answer: Option B
Solution(By Examveda Team)
LetinvestmentineachcasebeRs.(143×117)Incomein1stcase=Rs.(11143×143×117)=Rs.1287Incomein2ndcase=Rs.(394×117×143×117)=Rs.1394.25Clearly,934%stockat117isbetter
7.If a - b = 3 and a2 + b2 = 29, find the value of ab.
A. 10
B. 12
C. 15
D. 18
E. None of these
Answer: Option A
Solution
2ab = (a2 + b2) - (a - b)2
2ab = 29 - 9
2ab = 20
∴ ab = 10
8. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A. 18
B. 24
C. 42
D. 81
Answer: Option B
Solution
Let the ten's and unit digit be x and 8x
respectively
Then,(10x+8x)+18=10×8x+x⇒10x2+8+18x=80+x2⇒9x2+18x−72=0⇒x2+2x−8=0⇒(x+4)(x−2)=0⇒x=2
∴ first digit will be 2 and second digit will be 4.
9.If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
Answer: Option D
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