Discount
 The marked price of an article is 10 % higher than the cost price. A discount of 10 % is given on the marked price. In this kind of sale, the seller bears.

 no loss, no gain
 a loss of 5%
 a gain of 1%
 a loss of 1%

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Let C.P. of article = ₹ 100
Marked price = ₹ 110S.P. = 110 × 90 = ₹ 99 100
2nd method to solve this question.
Here, r = 10%, r_{1} = 10%Gain or Loss %= r ×(100 − r_{1}) − r_{1} 100
Correct Option: D
Let C.P. of article = ₹ 100
Marked price = ₹ 110S.P. = 110 × 90 = ₹ 99 100
Loss = 100 – 99 = ₹ 1 = 1%
2nd method to solve this question.
Here, r = 10%, r_{1} = 10%Gain or Loss %= r ×(100 − r_{1}) − r_{1} 100 Gain or Loss % = 10 × (100 − 10) − 10 100
Gain or Loss % = 9 – 10 = –1 (–ve sign shows loss)
⇒ Loss = 1%
 Charging 30 % above its production cost a radio maker puts a label of ₹ 286 on a radio as its price. But at the time of selling it, he allows 10 % discount on the labelled price. What will his gain be ?

 ₹ 257 .40
 ₹ 254. 40
 ₹ 198
 ₹ 37. 40

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Let Production cost of radio= ₹ p
∴ p × 130 = 286 100 ⇒ p = 286 × 100 = ₹ 220 130
∴ Selling price = 90% of 286
Correct Option: D
Let Production cost of radio= ₹ p
∴ p × 130 = 286 100 ⇒ p = 286 × 100 = ₹ 220 130
∴ Selling price = 90% of 286∴ Selling price = 286 × 90 = ₹ 257.40 100
Required Profit = ₹ (257.40 – 220) = ₹ 37.40
 A businessman allows a discount of 10 % on the marked price. What percent above the cost price must he mark his goods to make a profit of 17 percent ?

 27 %
 18 %
 30 %
 20 %

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Let C.P. of article = ₹ 100
and marked price of article = ₹ p∴ p × 90 = 117 100
2nd method to solve this question.
Let, C.P. = ₹ 100, r = 17%, D = 10%, M.P. = ?M.P. = 100 + r C.P. 100 − r
Correct Option: C
Let C.P. of article = ₹ 100
and marked price of article = ₹ p∴ p × 90 = 117 100 ⇒ p = 117 × 100 = ₹ 130 90
i.e. 30% above the cost price.
2nd method to solve this question.
Let, C.P. = ₹ 100, r = 17%, D = 10%, M.P. = ?M.P. = 100 + r C.P. 100 − r M.P. = 100 + 17 100 100 − 10 M.P. = 117 × 100 90
⇒ 30% above cost price.
 A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays ₹ 3,402 as the price including the sales tax, then the marked price is

 ₹ 3,400
 ₹ 3,500
 ₹ 3,600
 ₹ 3,800

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Let Marked price of article = ₹ p
∴ S.P. of article = ₹ p × 90 × 108 100 100
Correct Option: B
Let Marked price of article = ₹ p
∴ S.P. of article = ₹ p × 90 × 108 100 100 ∴ p × 90 × 108 = 3402 9 9 ⇒ p = 3402 × 100 × 100 90 × 108
Hence Marked price of article = ₹ 3500
 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


10 1 % 9 
11 1 % 9 
12 1 % 9 
13 1 % 9


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Let Marked price = ₹ p
Discount = ₹ p 5 S.P. = p − p = ₹ 4p 5 5 Loss = ₹ p 10 ∴ C.P. = 4p + p 5 10 = 8p + p = ₹ 9p 10 10
Correct Option: B
Let Marked price = ₹ p
Discount = ₹ p 5 S.P. = p − p = ₹ 4p 5 5 Loss = ₹ p 10 ∴ C.P. = 4p + p 5 10 = 8p + p = ₹ 9p 10 10 ∴ Loss percent = p/10 ×100 9p/10 Hence ,Loss percent = 100 = 11 1 % 9 9