176. A tradesman gives 4% discount on the marked price and 1 article free with every 15 articles bought and still gains 35%. The marked price is more than the cost price by —

1. 1. 40%

   
   
   

   2. 39%

   
   
   

   3. 20%

   
   
   

   4. 50%

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question, Discount on articles
   

   1	× 100 = 6.25%
   16

   
   

   Overall discount = − 4 − 6.25 +	4 × 6.25	= −10%
   	100

   
   Let cost price = ₹ 100, then
   selling price = ₹ 135
   So, 90% of marked price = 135
   

   Marked price =	135 × 100	= ₹ 150
   	90

   
   Marked price is increased by
   

   =	150 − 100	× 100 = 50%
   	90

   Correct Option: D

   According to question, Discount on articles
   

   1	× 100 = 6.25%
   16

   
   

   Overall discount = − 4 − 6.25 +	4 × 6.25	= −10%
   	100

   
   Let cost price = ₹ 100, then
   selling price = ₹ 135
   So, 90% of marked price = 135
   

   Marked price =	135 × 100	= ₹ 150
   	90

   
   Marked price is increased by
   

   =	150 − 100	× 100 = 50%
   	90

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177. What is the maximum percentage discount that a merchant can offer on her marked price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50% ?

1. 1. 16.67%

   
   
   

   2. 20%

   
   
   

   3. 50%

   
   
   

   4. 33.33%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let cost price = ₹ 100
   Marked price = ₹ 150
   

   ∴  Discount per cent =	50	× 100 = 33.33%
   	150

   Correct Option: D

   Let cost price = ₹ 100
   Marked price = ₹ 150
   

   ∴  Discount per cent =	50	× 100 = 33.33%
   	150

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178. An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 with two successive
     discounts of which one is 10%. The other discount of this discount scheme that was allowed by the shopkeeper is

1. 1. 4%

   
   
   

   2. 3%

   
   
   

   3. 6%

   
   
   

   4. 2.5%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the other discount be x%.
   

   65 ×	90	×	(100 − x)	= 56.16
   	100		100

   
   

   ⇒  100 − x =	56.16 × 100 × 100
   	65 × 90

   
   ⇒  100 – x = 96
   ⇒  x = 4%

   Correct Option: A

   Let the other discount be x%.
   

   65 ×	90	×	(100 − x)	= 56.16
   	100		100

   
   

   ⇒  100 − x =	56.16 × 100 × 100
   	65 × 90

   
   ⇒  100 – x = 96
   ⇒  x = 4%

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179. Successive discounts of 10 % and 30 % are equivalent to a single discount of :

1. 1. 40%

   
   
   

   2. 35 %

   
   
   

   3. 38 %

   
   
   

   4. 37 %

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know the formula for two successive discount.
   

   Successive discounts of D1 % and D2 % is overall equals to =		D1 + D2 −	D1 × D2		%
   			100

   
   Where D₁ = Discount 1 and D₂ = Discount 2

   Correct Option: D

   As we know the formula for two successive discount.
   

   Successive discounts of D1 % and D2 % is overall equals to =		D1 + D2 −	D1 × D2		%
   			100

   
   Where D₁ = Discount 1 and D₂ = Discount 2
   According to given question, D₁ = 30 % and D₂ = 10 %
   

   Successive discounts of D1% and D2% is overall = 30 + 10 −	30 × 10	= 40 - 3 = 37%
   	100

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180. Successive discounts of 10 % and 20 % are equivalent to a single discount of :

1. 1. 30%

   
   
   

   2. 15%

   
   
   

   3. 28%

   
   
   

   4. 12%

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know from the formula;
   

   Successive discounts of D1 % and D2 % =		D1 + D2 −	D1 × D2		%
   			100

   
   

   Correct Option: C

   As we know from the formula;
   

   Successive discounts of D1 % and D2 % =		D1 + D2 −	D1 × D2		%
   			100

   
   

   ∴  Required discount =		20 + 10 −	20 × 10		%
   			100

   
   ⇒  Required discount = 30 – 2 = 28%
   

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