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91. A shopkeeper sold an item for Rs. 1510 after giving a discount of $24 \frac{1}{2} %$ and there by incurred a loss of 10%. Had he sold the item without discount his net profit would have been = ?

A. Rs. 641

B. $Rs . 322 \frac{1}{9}$

C. $Rs . 422 \frac{2}{9}$

D. $Rs . 322 \frac{2}{9}$

Discuss

Solution:

Let the marked price of an item = Rs. x
Selling price of an item

= (100 - 24 \frac{1}{2}) % of x

\begin{aligned} \Rightarrow 1510 = \frac{151}{2} \times \frac{1}{100} \times x \\ \Rightarrow x = Rs . 2000 \\ Cost price of an item \\ = 1510 \times \frac{100}{90} \\ =  Rs . \frac{15100}{9} \\ Without discount, gain \\ = 2000 - \frac{15100}{9} \\ = \frac{18000 - 15100}{9} \\ = \frac{2900}{9} \\ = Rs . 322 \frac{2}{9} \end{aligned}

92. Discount on a pair of shoes marked at Rs. 475 and discounted at 15% is = ?

A. Rs. 70

B. Rs. 72

C. Rs. 71.25

D. Rs. 75.25

Discuss

Solution:

Market price of shoes = Rs. 475

\begin{aligned} Discount = \frac{15}{100} \times 475 \\ = \frac{285}{4} \\ =  Rs 71 .25 \end{aligned}

93. A machine is marked at Rs. 6800 and available at a discount of 10%. The shopkeeper gives another off season discount to the buyer and sells the machine for Rs. 5202. Find the off season discount ?

A. 10%

B. 12%

C. 15%

D. 18%

Discuss

Solution:

Marked price of machine = Rs. 6800
After 1st discount

\begin{aligned} = \frac{90}{100} \times 6800 \\ = Rs . 6120 \end{aligned}

Selling price of machine = Rs. 5202

\begin{aligned} Discount % \\ = \frac{6120 - 5202}{6120} \times 100 \\ = \frac{918}{6120} \times 100 \\ = 15 % \end{aligned}

94. A double bed is market at Rs. 75000. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price ?

A. Rs. 6500

B. Rs. 6000

C. Rs. 64239

D. Rs. 6500.50

Discuss

Solution:

\begin{aligned} Net selling price \\ = \frac{92}{100} \times \frac{95}{100} \times \frac{98}{100} \times 75000 \\ = Rs . 64239 \end{aligned}

95. Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji who sells it for Rs. 20, more than what he purchased for, this selling price is 30% more then the original cost price of the article. Then Balaji's profit % is = ?

A. 7.5%

B. 6.66%

C. 8.33%

D. 9%

Discuss

Solution:

Let original cost price = 100 units

\begin{aligned} Cost price of Balaji \\ = 100 \times \frac{150}{100} \times \frac{80}{100} \\ =  120 units \\ Selling price of Balaji \\ = \frac{130}{100} \times 100 \\ =  130 units \\ Profit of Balaji \\ = 130 - 120 \\ = 10 units \\ Profit percent \\ = \frac{10}{120} \times 100 \\ = 8 .33 % \end{aligned}

Note: There is no use of Rs. 20 given in the question

96. The marked price of an article is Rs. 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is = ?

A. Rs. 384

B. Rs. 380

C. Rs. 300

D. Rs. 376

Discuss

Solution:

\begin{aligned} Cost price of the article \\ =  500 \times \frac{95}{100} \times \frac{100}{125} \\ = Rs . 380 \end{aligned}

97. A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20%. If the article costs the shopkeeper Rs. 210, then the marked price of the article will be = ?

A. Rs. 387

B. Rs. 350

C. Rs. 386

D. Rs. 288

Discuss

Solution:

\begin{aligned} Market price of the article \\ = 210 \times \frac{120}{100} \times \frac{100}{87.5} \\ = Rs . 288 \end{aligned}

98. The difference between simple interest and the true discount on Rs. 2400 due 4 years hence at 5% per annum simple interest is -

A. Rs. 70

B. Rs. 30

C. Rs. 50

D. Rs. 80

Discuss

Solution:

\begin{aligned} Given A = 2400 \\ R = 5 % \\ T = 4 year \\ ∴ T D = \frac{A \times R \times T}{100 + R \times T} \\ T D = \frac{2400 \times 4 \times 5}{100 + 20} \\ T D = Rs . 400 \\ ∴ S .I . - TD = \frac{T D \times R \times T}{100} \\ = \frac{400 \times 5 \times 4}{100} \\ = Rs . 80 \end{aligned}

99. Charging 30% above its production cost a radio maker puts a label of Rs. 286 on a radio as is price. But at the time of selling it, he allows 10% discount on the labelled price. What will his gain be ?

A. Rs. 257.40

B. Rs. 254.40

C. Rs. 198

D. Rs. 37.40

Discuss

Solution:

\begin{aligned} Cost of ratio \\ = \frac{286}{130} \times 100 \\ = Rs . 220 \\ Selling price of ratio \\ = 286 \times \frac{90}{100} \\ = Rs 257 .40 \\ Profit = 257.40 - 220 \\ = Rs 37 .40 \end{aligned}

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