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21. A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is = ?

A. Rs. 704

B. Rs. 640

C. Rs. 774

D. Rs. 680

Discuss

Solution:

Market price of the article = Rs. 880
After discount selling price of the article

\begin{aligned} = \frac{880 \times 80}{100} \\ =  Rs . 704 \\ Cost price of the article \\ = \frac{704 \times 100}{110} \\ = Rs . 640 \end{aligned}

22. A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs. 1104 ?

A. 8%

B. 10%

C. 15%

D. 12%

Discuss

Solution:

Listed price of fan = Rs. 1500
After discount listed price

\begin{aligned} =  80 % of 1500 \\ = \frac{80}{100} \times 1500 \\ =  Rs . 1200 \end{aligned}

Net price of fan = Rs. 1104
Differece = 1200 - 1104 = Rs. 96
Additional discount

\begin{aligned} = \frac{96}{1200} \times 100 \\ = 8 % \end{aligned}

23. A single discount equivalent to the successive discounts of 10%, 20% and 25% is = ?

A. 55%

B. 45%

C. 46%

D. 60%

Discuss

Solution:

Let the price is = Rs. 100
After discount price

\begin{aligned} =  100 \times \frac{90}{100} \times \frac{80}{100} \times \frac{75}{100} \\ =  Rs . 54 \\ Difference  =  100 - 54 \\ = 46 % \end{aligned}

So, 46% is a single discount of percent of this series.

Alternate :
Successive discount of 10% of 20%

\begin{aligned} = 10 + 20 - \frac{10 \times 20}{100} \\ = 28 % \end{aligned}

Then successive discount of 28% and 25%

\begin{aligned} = 28 + 25 - \frac{28 \times 25}{100} \\ = 46 % \end{aligned}

24. The discount series 10%, 20%, 40% is equivalent to a single discount of = ?

A. 50%

B. 56.8%

C. 60%

D. 62.28%

Discuss

Solution:

Let the price is = Rs. 100
After discount price

\begin{aligned} =  100 \times \frac{90}{100} \times \frac{80}{100} \times \frac{60}{100} \\ =  Rs . 43 .2 \\ Difference  =  100 - 43.2 \\ = 56.8 % \end{aligned}

So, 56.8% is a single discount of percent of this series.

Alternate :
Successive discount of 10% of 20%

\begin{aligned} = 10 + 20 - \frac{10 \times 20}{100} \\ = 28 % \end{aligned}

Then successive discount of 28% and 40%

\begin{aligned} = 28 + 40 - \frac{28 \times 40}{100} \\ = 56.8 % \end{aligned}

25. A trader marked the selling price of an article at 10% above the cost price. At the time of selling he allows certain discount and suffers a loss of 1%. He allowed the discount of ?

A. 11%

B. 10%

C. 9%

D. 10.5%

Discuss

Solution:

Let the cost price of an article = Rs. 100
Marked price of an article = Rs. 110 (10% above)
Selling price of an article = Rs. 99 (10% discount)

\begin{aligned} Difference = 110 - 99 \\ =  Rs . 11 \\ Discount = \frac{11}{110} \times 100 \\ = 10 % \end{aligned}

26. A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is = ?

A. 21%

B. 20%

C. 18%

D. 17%

Discuss

Solution:

Let the cost price of goods = Rs. 100
Mark price of goods = Rs. 130 (30% discount)
Selling price of goods = 90% of 130 = Rs. 117
Gain = 117 - 100 = Rs. 17

Gain % = \frac{17}{100} \times 100 = 17 %

27. A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs. 387. The marked price of the article is = ?

A. Rs. 450

B. Rs. 427

C. Rs. 500

D. Rs. 440

Discuss

Solution:

Selling price of article = Rs. 387
Mark price of article

\begin{aligned} = \frac{387 \times 100}{86} \\ = Rs . 450 \end{aligned}

28. A man sells a scooter priced Rs. 36000. He gives a discount of 8% on the first Rs. 20000 and 5% on the next Rs. 10000. How much discount can he offer on the remaining Rs. 6000 if he is to get as much as when 7% discount is allowed on the total ?

A. 5%

B. 6%

C. 7%

D. 8%

Discuss

Solution:

Mark price of scooter = Rs. 36000
According to question,

20000 \times \frac{8}{100} +

10000 \times \frac{5}{100} +

6000 \times \frac{x}{100}

= 36000 \times \frac{7}{100}

\begin{aligned} \Rightarrow 1600 + 500 + 60 x = 2520 \\ \Rightarrow 60 x = 420 \\ \Rightarrow x = \frac{420}{60} \\ \Rightarrow x = 7 % \end{aligned}

29. A housewife saved Rs. 2.50 in buying a dress on sale. If she spent Rs. 25 for the dress, approximately how much percent she saved in the transaction ?

A. 8%

B. 9%

C. 10%

D. 11%

Discuss

Solution:

House wife spends Rs. 25 on dress and saved Rs. 2.50
Total transaction = 25 + 2.50 = Rs. 27.50

\begin{aligned} Save % = \frac{2.50}{27.50} \times 100 \\ = \frac{100}{11} % \\ = 9 % ( approx) \end{aligned}

30. List price of an article at a showroom is Rs. 2000 and it is being sold at successive discount of 20% and 10%, its net selling price will be = ?

A. Rs. 1900

B. Rs. 1700

C. Rs. 1440

D. Rs. 1400

Discuss

Solution:

List price of an article = Rs. 2000
After discount, selling price

\begin{aligned} = 2000 \times \frac{80}{100} \times \frac{90}{100} \\ =  Rs . 1440 \end{aligned}

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