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Home > Practice > Arithmetic Aptitude > True Discount > Miscellaneous

81. A single discount of 50% on an article costing Rs. 10000 is better than two successive discounts of 40% and 10% by = ?

A. Rs. 400

B. Rs. 1000

C. Rs. 500

D. Rs. 600

Discuss

Solution:

\begin{aligned} Single discount  =  50 % \\ Two successive discount \\ =  40 + 10 - \frac{40 \times 10}{100} \\ = 50 - 4 \\ = 46 \\ Difference \\ = 50 - 46 \\ = 4 % \\ Difference amount \\ =  4 % of 10000 \\ = \frac{4}{100} \times 10000 \\ =  Rs . 400 \end{aligned}

82. A purchased a dining table marked at Rs. 3000 at a successive discounts of 10% and 15% respectively. He gave Rs. 105 as trans-portion charge and sold it at Rs. 3200. What is his gain percentage ?

A. $22 \frac{1}{3} %$

B. 25%

C. $33 \frac{1}{3} %$

D. $37 \frac{17}{24} %$

Discuss

Solution:

Market price of dining table = Rs. 3000
After discount, cost price

\begin{aligned} =  3000 \times \frac{90}{100} \times \frac{85}{100} \\ =  Rs . 2295 \end{aligned}

After transport charges = 2295 + 105

\begin{aligned} Cost price  =  Rs . 2400 \\ Selling price  =  Rs . 3200 \\ Profit % \\ = \frac{3200 - 2400}{2400} \times 100 \\ = \frac{800 \times 100}{2400} \\ = 33 \frac{1}{3} % \end{aligned}

83. A shopkeeper marks the price of an article at Rs. 80. What will be the selling price, if he allows two successive discounts at 5% each = ?

A. Rs. 72.20

B. Rs. 72

C. Rs. 85

D. Rs. 7.20

Discuss

Solution:

Marked price of article = Rs. 80

\begin{aligned} Two successive discount \\ =  5 + 5 - \frac{5 \times 5}{100} \\ = 10 - 0.25 \\ = 9.75 % \\ Discount of article \\ =  9 .75%  of 80 \\ = \frac{9.75}{100} \times 80 \\ = Rs . 7 .80 \\ Selling price of article \\ = 80 - 7.80 \\ =  Rs . 72 .20 \end{aligned}

84. A shopkeeper purchased a chair marked at Rs. 600 at two successive discounts of 15% and 20% respectively, he spent Rs. 28 on transportation and sold the chair for Rs. 545. His gain percent was = ?

A. 25%

B. 30%

C. 35%

D. 20%

Discuss

Solution:

Marked price of chair = Rs. 600
After discount, cost price

\begin{aligned} =  600 \times \frac{85}{100} \times \frac{80}{100} \\ = Rs . 408 \end{aligned}

After transportation charges cost price

\begin{aligned} = 408 + 28 \\ =  Rs . 436 \\ Gain % \\ = \frac{545 - 436}{436} \times 100 % \\ = \frac{109}{436} \times 100 % \\ = 25 % \end{aligned}

85. Two successive discounts of 10% and 5%, in this order, are given on a bill of Rs. 110. Find the net amount of money payable to clear the bill (answer to the nearest rupee) = ?

A. Rs. 94

B. Rs. 95

C. Rs. 96

D. Rs. 97

Discuss

Solution:

Bill amount = Rs. 110
After discount net amount of Bill 90% of 95% of 110

\begin{aligned} \frac{90}{100} \times \frac{95}{100} \times 110 \\ =  Rs . 94 ( approx ) \end{aligned}

86. A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by = ?

A. 33%

B. 40%

C. 27%

D. 30%

Discuss

Solution:

\begin{aligned} Let the cost price  =  Rs . 100 \\ Selling price \\ =  117 % of 100 \\ =  Rs . 117 \\ Marked price \\ =  117 \times \frac{100}{90} \\ =  Rs . 130 \\ Marked price above % \\ = \frac{130 - 100}{100} \times 100 % \\ = 30 % \end{aligned}

87. The total discount on Rs.1860 due after a certain time at 5% is Rs. 60. Find the time after which it is due -

A. 9 months

B. 10 months

C. 7 months

D. 8 months

Discuss

Solution:

\begin{aligned} Here, A = 1860, \\ R = 5 % \\ TD = 60 \\ ∴ TD = \frac{A \times R \times T}{100 + R \times T} \\ \Rightarrow 60 = \frac{1860 \times 5 \times T}{100 + 5 T} \\ \Rightarrow 6000 + 300 T = 9300 T \\ \Rightarrow 6000 = 9300 T - 300 T \\ \Rightarrow 6000 = 9000 T \\ \Rightarrow T = \frac{6000}{9000} \\ \Rightarrow T = \frac{2}{3} year \\ \Rightarrow T = \frac{2}{3} \times 12 \\ \Rightarrow T = 8 months \end{aligned}

88. If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is = ?

A. $10 \frac{1}{9} %$

B. $11 \frac{1}{9} %$

C. $12 \frac{1}{9} %$

D. $13 \frac{1}{9} %$

Discuss

Solution:

Let the marked price = Rs. 100

\begin{aligned} Discount = \frac{1}{5} \times 100 \\ = Rs . 20 \\ Loss  = \frac{1}{2} \times 20 \\ =  Rs . 10 \\ Cost price = 100 - 20 + 10 \\ =  Rs . 90 \\ Loss % = \frac{10}{90} \times 100 \\ = \frac{100}{9} % \\ = 11 \frac{1}{9} % \end{aligned}

89. How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gain 20% ?

A. 70%

B. 50%

C. 60%

D. 55%

Discuss

Solution:

\begin{aligned} Let the cost price  =  Rs . 100 \\ Selling price  =  120 % of 100 \\ =  Rs . 120 \\ Market price  =  120 \times \frac{100}{75} \\ =  Rs . 160 \\ Above % = \frac{160 - 100}{100} \times 100 \\ = 60 % \end{aligned}

90. A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is = ?

A. 5%

B. 4%

C. 2%

D. 1%

Discuss

Solution:

Let the cost price = Rs. 100

\begin{aligned} Market price \\ =  120 % of 100 \\ =  Rs . 120 \\ Selling price \\ =  85 % of 120 \\ = \frac{85}{100} \times 120 \\ =  Rs . 102 \\ Gain % = \frac{102 - 100}{100} \times 100 \\ = 2 % \end{aligned}

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