# Aptitude - Discounts Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Discounts. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - The true discount and the simple interest on a certain sum for a given time and at a given rate are Rs. 240 and Rs. 160 respectively. The sum is:

A - 375

B - 400

C - 430

D - 480

### Explanation

`Sum =( S.I * T.D )/(S.I - T.D)=( 240 * 160 )/(240-160)=480`

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

### Explanation

```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 - The present worth of a sum due sometime hence is Rs. 1024 and the banker's gain is Rs.64. The true discount is:

A - Rs. 256

B - Rs. 125

C - Rs. 64

D - Rs. 32

### Explanation

```T.D. = √(P.W.x B.G.)
=√(1024x64.)
=Rs. 256```

Q 4 - The true discount on a bill of Rs. 360 is Rs. 60. The banker's discount is:

A - Rs.72

B - Rs.36

C - Rs.18

D - Rs.6

### Explanation

```P.W.=Rs.(360-60)=Rs.300
SI on Rs.300 =Rs.60
SI on Rs.360 =Rs. (60/300) * 360=Rs.72
B.D. = Rs.72```

Q 5 - The difference between a discount of 20% on Rs. 1000 and two successive discounts of 16% and 4% on the same amount is

A - Rs.6

B - Rs.6.4

C - Rs.6.5

D - Rs. 6.75

### Explanation

```First discount of 20% on 1000=Rs. 200
Second discount = (16% of 1000)+(4% of 84% of 1000)
= (160) + (  4/100 x 84/100 *1000) =Rs. 193.6
Difference=Rs. (200-193.6) =Rs.6.4.```

Q 6 - The genuine markdown on an aggregate due 3 years consequently at 8% p.a. is Rs 252. The total due is:

A - Rs 798

B - Rs 1050

C - Rs 1302

D - None of these

### Explanation

```P.W. = (100*T.D.)/(R*T) = Rs ((100*252))/((8*3)) = Rs 1050
Sum due = (P.W.)+(T.D.) = Rs (1050+252) = Rs 1302```

Q 7 - The straightforward hobby and the genuine rebate on a sure total due 6 months subsequently are Rs 25 and Rs 24 individually. The rate of interest per annum is:

A - 8%

B - 17/2%

C - 35/4%

D - 25/3%

### Explanation

```((S.I.)*(T.D.))/((S.I.)-(T.D.))=Rs ((25*24))/((25-24))= Rs 600
S.I. on Rs 600 for 6 months is Rs 25
∴ Rate = (100*125)/(600*6/12)% p.a. = 25/3% p.a.```

Q 8 - A man acquired a look for Rs 1950 in real money and sold it for Rs 2160 at a credit of 1 year. On the off chance that the rate of hobby is 8% p.a., then the man has:

A - an increase of Rs 210

B - a addition of Rs 50

C - an addition of Rs 60

D - lost Rs 30

### Explanation

```C.P. = Rs. 1950
S.P. = P.W. of Rs. 2160 due 1 year hence
= Rs ((100*2160))/(100+(8*1)) = Rs 2000 in cash.
∴ Gain = Rs (2000-1950) = Rs 50```

Q 9 - I purchased a bike for Rs 1056 in real money and sold it around the same time for Rs 1296 payable following 6 months. On the off chance that the rate of hobby is 12% p.a., what amount was my addition?

A - 11.1%

B - 12.25%

C - 13.6%

D - 22.7%

### Explanation

```C.P.  = Rs 1056
S.P. = P.W. of Rs 1296 due 6 months hence
= Rs. (100*1296)/(100+(12*1/2) ) = Rs ((100*1296))/106= 1200
∴ Profit = Rs (1200-1056) = Rs 144
Gain% = (144/1056*100)% = 13.6%```

Q 10 - The basic enthusiasm on Rs 750 for a long time is equivalent to the genuine rebate on Rs 810 for the same time and at the same rate. The rate of interest per annum is:

A - 4%

B - 13/3%

C - 5%

D - 31/6%

```S.I. on Rs 750 for 2 years = T.D. on Rs 810 due 2 years hence