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Q:

The Present worth of Rs.2310 due $2 \frac{1}{2}$ years hence ,the rate of interest being 15% per annum, is :

A) Rs.1440	B) Rs.1750
C) Rs.1680	D) Rs.1840

Answer & Explanation Answer: C) Rs.1680

Explanation:

$P . W = R s . (\frac{100 \times 2310}{100 + (15 \times \frac{5}{2})})$ = Rs.1680

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Filed Under: True Discount

Q:

The TrueDiscount on a certain sum of money due 3 years hence is Rs.250 and SimpeInterest on the same sum for same time and same rate is Rs375. Find sum and rate%?

A) (16 + 4/3)%	B) (16 +1/3)%
C) (16 + 5/3)%	D) (16 + 2/3)%

Answer & Explanation Answer: D) (16 + 2/3)%

Explanation:

sum = [(S.I x T.D)/(S.I-T.D)] = Rs. [(375 x 250)/(375-250)] = Rs.750

Rate = (100 x 375)/(750 x 3) = $16 \frac{2}{3}$ %

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Filed Under: True Discount

Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs 540. Find the amount of the bill and its present worth?

A) 1600	B) 7000
C) 6000	D) 6500

Answer & Explanation Answer: C) 6000

Explanation:

Let amount be Rs.x then,

[X * R * T] / [100 + (R * T)] = T.D

=> [x * 12 * (3/4)] / [100+(12 * 3/4)] =540

=> x = 6540

Amount = Rs.6540

P.W = Rs.(6540 -540) = Rs.6000

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Filed Under: True Discount

Q:

Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?

A) 186	B) 180
C) 185	D) 189

Answer & Explanation Answer: B) 180

Explanation:

P.W = [100 x Amount] / [100+(R x T)]

=[100 x 930] / [100+(8x3)] = Rs. 750

T.D = Amount - P.W = 930 - 750 = Rs.180

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Filed Under: True Discount

Q:

The banker's discount on Rs. 1650 due a certain time hence is Rs. 165. Find the true discount and the banker's gain.

A) 15	B) 20
C) 18	D) 13

Answer & Explanation Answer: A) 15

Explanation:

Sum = [(B.D.xT.D.)/ (B.D.-T.D.)]

= [(B.D.xT.D.)/B.G.]

T.D./B.G. = Sum/ B.D.

=1650/165

=10

Thus, if B.G. is Re 1, T.D. = Rs. 10.

If B.D.is Rs. ll, T.D.=Rs. 10.

If B.D. is Rs. 165, T.D. = Rs. [(10/11)xl65]

=Rs.150

And, B.G. = Rs. (165 - 150) = Rs, 15.

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Filed Under: Banker's Discount

Q:

If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker's discount on the same sum for the same time and at the same rate?

A) 50	B) 129
C) 100	D) 160

Answer & Explanation Answer: B) 129

Explanation:

B.G. = S.I. on T.D.

= Rs.(120 x 15 x 1/2 x 1/100)

= Rs. 9.

(B.D.) - (T.D.) = Rs. 9.

B.D. = Rs. (120 + 9) = Rs. 129.

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Filed Under: Banker's Discount

Q:

A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?

A) 18	B) 20
C) 24	D) 30

Answer & Explanation Answer: A) 18

Explanation:

Let the present age of person be x years.

Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18..

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Filed Under: Decimal Fractions

Q:

0.1 decates ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya’s age will beat her daughter’s age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]

A) 8:1	B) 10:2
C) 11:4	D) 13:4

Answer & Explanation Answer: D) 13:4

Explanation:

Let, Ages of Vijaya and Simran – 1 year ago was 4A and A years correspondingly.
Then, [(4A + 1) + 6] – [(A + 1) + 6] = 9
3A = 9 => A = 3

Needed Ratio = (4A + 1) : (A + 1) = 13 : 4

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Filed Under: Problems on Ages

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