1.  What will be the true discount for the present worth of ₹ 600 for a period of 4 yr at 4% per annum rate of interest?


100
32
86
96


Answer

 Option

Given that, T = 4 yr, R = 4% PW = 600 and TD = ? According to the formula, (1) TD = (PW x R x T)/100 TD = (600 x 4 x 4)/100 = 6 x 4 x 4 = 96

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2.  What sum will discharge a debt of Rs. 5300 due a year and a half hence at 4% per annum ?


Rs. 5250
Rs. 4200
Rs. 4500
Rs. 5000


Answer

 Option

Required sum = (100 x 5300) / {(100 + (3/2) x 4)} = (100 x 5300) / 106 = Rs. 5000

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3.  What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?


rs.600
rs.601
rs.602
rs.603


Answer

 Option

P.W. = Amount/(1+R/100)^T The answer is = Rs.602

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4.  Vandana bought a watch for 600 and sold it the same day for 688.50 at a credit of 9 months and this way she gained 2%. Find the rate of interest per annum?


5^2/3%
11^2/3%
15^2/3%
16^2/3%


Answer

 Option

SP = 102% of 600 = (102/100) x 600 =612 Now, PW =612 and sum =688.50 ∴ TD = 688.50 - 612 = 76.50 Thus, SI on 612 for 9 months is 76.50. ∴ Rate = (100 x 76.50) / (612 x 3/4) = (100 x 76.50) / (153 x 3) =16^2/3%

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5.  The true discount on Rs.2562 due 4 months hence is Rs.122. The rate percent is?


15%
12%
14%
13 1/3%


Answer

 Option

P.W. =Rs.(2562 - 122) = Rs.2440 Therefore S.I. on Rs. 2440 for 4 months is Rs.122 Therefore Rate = (100*122/2440*1/3)% = 15%

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