# 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 - A shopkeeper professes to sell all things at a discount of 20% ,but increases selling price of each article by 30% .His gain on each article is

A - 3%

B - 4%

C - 5%

D - 6%

### Explanation

```Let us assume cost price is 100.Then the marked price is 130
SP=130 * 80/100= 104.
Profit % =(S.P-C.P)/(C.P) * 100=(104-100)/100 * 100
=4%```

Q 2 - The true discount on Rs. 5124 due 2 months hence is Rs. 244. The rate percent is:

A - 10%

B - 20%

C - 22%

D - 30%

### Explanation

```Present worth = Rs. (5124 - 244) = Rs. 4880.
S.I. on Rs. 4880 for 2 months is Rs. 244.
R=( 100*TD)/PW*T=( 100*244)/(4880*(2/12)) =30%```

Q 3 - The present worth of a certain bill due sometime hence is Rs. 1600 and the true discount is Rs. 40. The banker's discount is:

A - 41

B - 50

C - 51

D - 41.6

### Explanation

```(T.D.)2 = P.W. * B.G
=>  B.G=(T.D.)2/
P.W.=402/1600=1
=>B.D =T.D. + B.G.
= 40+1
=41```

Q 4 - The banker's gain of a certain sum due 3 years hence at 20% per annum is Rs. 48. The present worth is:

A - Rs.100

B - Rs.96

C - Rs.103.33

D - Rs.133.33

### Explanation

```T.D. =(B.G*100)/( R*T)=48*100/( 20*3)=Rs. 80.
Present worth=( 100*TD)/R*T=( 100*80)/20*3=Rs.133.33```

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 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

### Explanation

```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

### Explanation

`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

### Explanation

```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 - On the off chance that Rs 10 be permitted as genuine rebate on a bill of Rs 110 due toward the end of a sure time, then the markdown permitted on the same total due toward the end of twofold the time is:

A - Rs 20

B - Rs 21.81

C - Rs 18.33

D - Rs 22

### Explanation

```S.I. on Rs (110-10) for a fixed time = Rs. 10
S.I. on Rs. 100 for double the time Rs. = 20
T.D. on Rs 120- Rs 20
T.D. on Rs 110 = Rs (20/120*100) = Rs 55/3 = Rs. 18.33```

Q 10 - A needs to pay Rs 1573 to B following 11/2 years and B needs to pay Rs 1444.50 to A following 6 months. In the event that the rate of hobby is 14% for each annum and both need to settle the record at this time, who will pay to the next and what amount?

A - A, Rs 28.50

B - B, Rs 37.50

C - A, Rs 50

D - B, Rs 50

### Explanation

```P.W. of loan on A = Rs ((100*1573))/(100+(14*2/3) )= Rs ((100*1573))/121= Rs 1300
P.W. of loan on B = Rs ((100*1444.50))/(100+(14*1/2) )= Rs ((144450))/103= Rs 1350
So, B will pay Rs. 50```

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