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True discount Objective questions and answer

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1.) Sachin purchase 20 dozens of toys at the rate of 375 Rs per dozen. He sold each one of them at the rate of Rs 33. What was his percentage profit?

A. 5.6%                       B. 7.12%

C. 9%                         D. None of these

View Answer

Answer: Option A

Explanation:

C.P of one toy = Rs 375/12

= 31.25

S.P of one toy = Rs 33

Profit = S.P – C.P = 33 – 31.25

= 1.75

Profit % = (Profit/C.P) x 100

= (1.75/31.25) x 100

Profit % = 5.6%


2.) If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

A. Rs. 18.33                     B. Rs 24.19

C. Rs. 31.07                     D. None of these

View Answer

Answer: Option D

Explanation:

S.I. on Rs. (110 - 10) for a certain time = Rs. 10.

S.I. on Rs. 100 for double the time = Rs. 20.

T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

T.D. on Rs. 110 = Rs. 20/120 x 110 = Rs. 18.33


3.)  A discount dealer professes to sell his goods at cost price but uses a weight of 960 gms for a kg weight. Find his gain %?

A. 14%                         B. 17%

C. 23%                        D. None of these

View Answer

Answer: Option D

Explanation:

Gain% = [(error *100) / (true value-error)]%

= [(40 * 100) / (1000 - 40)]% = 25/6%


4.) Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

A. Rs. 7.19                    B. Rs. 10.40

C. Rs. 12.07                  D. Rs. 16

View Answer

Answer: Option B

Explanation:

S.I. on Rs. (260 - 20) for a given time = Rs. 20.

S.I. on Rs. 240 for half the time = Rs. 10.

T.D. on Rs. 250 = Rs. 10.

binduT.D. on Rs. 260 = Rs. (10/250 x 260) = Rs. 10.40


5.) The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs 490. At what price should the article be sold to make 25% profit?

A. 550%            B. 650%

C. 750%            D. None of these

View Answer

Answer: Option C

Explanation:

Let C.P be Rs x

900 – x = 2(x – 450)

3x = 1800

X = Rs 600

C.P = Rs 600, gain required = 25%

S.P = (100 + gain%)*C.P/100

S.P = (100+25)*600/100

= Rs 750


 
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