21. A dinner set is quoted for Rs. 1500. A customer pays Rs. 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was

1. 1. 15%

   
   
   

   2. 7%

   
   
   

   3. 9%

   
   
   

   4. 8%

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to the question,
   First discount = 15%
   S.P. of dinner set after first discount = (100 – 15)% of Rs. 1500
   

   = Rs.		1500 × 85		= Rs. 1275
   		100

   
   Second discount = Rs. ( 1275 – 1173 ) = Rs. 102

   Correct Option: D

   According to the question,
   First discount = 15%
   S.P. of dinner set after first discount = (100 – 15)% of Rs. 1500
   

   = Rs.		1500 × 85		= Rs. 1275
   		100

   
   Second discount = Rs. ( 1275 – 1173 ) = Rs. 102
   If second discount be d %, then
   

   ∴	1275 × d	= 102
   	100

   
   

   ⇒  d =	102 × 100	= 8%
   	1275

   
   

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22. A trader marks the sale price 25% more on cost price and gives a 10% discount at the time of selling. The gain % is

1. 1. 12	1	%
      	2

   
   
   

   2. 12	1	%
      	3

   
   
   

   3. 11	1	%
      	2

   
   
   

   4. 12%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let us assume the C.P. of article be Rs. 100.
   According to question.
   ∴  Its marked price = Rs. 125
   

   S.P. = Rs.		125 × 90		= Rs. 112.5
   		100

   
   2nd Method to solve this question.
   
   

   Profit % =		x + y +	xy		%
   			100

   
   where x = 25%; y = –10%

   Correct Option: A

   Let us assume the C.P. of article be Rs. 100.
   According to question.
   ∴  Its marked price = Rs. 125
   

   S.P. = Rs.		125 × 90		= Rs. 112.5
   		100

   
   ∴  Profit % = 12.5 %
   2nd Method to solve this question.
   
   

   Profit % =		x + y +	xy		%
   			100

   
   where x = 25%; y = –10%
   

   Profit % =		25 − 10 −	25 × 10		%
   			100

   
   Profit % = 12.5%
   

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23. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price, how much profit or loss does he make, if any?

1. 1. 1% gain

   
   
   

   2. 1% loss

   
   
   

   3. 5% gain

   
   
   

   4. No gain, no loss

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that ,
   

   Required loss =		10 × 10		= 1%
   		100

   
   2nd method to solve this question.
   Here, r = 10% and r₁ = 10%
   ⇒  Required profit or loss
   

   =	r ×(100 − r1)	−r1
   	100

   =	10 ×(100 − 10)	−10
   	100

   
   
   

   Correct Option: B

   As we know that ,
   

   Required loss =		10 × 10		= 1%
   		100

   
   2nd method to solve this question.
   Here, r = 10% and r₁ = 10%
   

   ⇒  Required profit or loss =	r ×(100 − r1)	−r1
   	100

   =	10 ×(100 − 10)	−10
   	100

   
   Required profit or loss = 9 – 10
   Required profit or loss = –1% (–ve sign shows loss)
   Required profit or loss = 1% loss
   

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24. If a shopkeeper marks the price of goods 50% more than their cost price and allows a discount of 40%, what is his gain or loss percent ?

1. 1. Gain of 10%

   
   
   

   2. Loss of 10%

   
   
   

   3. Gain of 20%

   
   
   

   4. Loss of 20%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of article = ₹ 100
   Marked price = ₹ 150
   

   S.P. =	150 × 60	= ₹ 90
   	100

   
   2nd method to solve this question.
   Here, r = 50%, r₁ = 40%
   

   His loss % =	r ×(100 − r1)	− r1
   	100

   
   

   Correct Option: B

   Let C.P. of article = ₹ 100
   Marked price = ₹ 150
   

   S.P. =	150 × 60	= ₹ 90
   	100

   
   Loss = 100 – 90 = ₹ 10 i.e. 10%
   2nd method to solve this question.
   Here, r = 50%, r₁ = 40%
   

   His loss % =	r ×(100 − r1)	− r1
   	100

   
   

   Loss % =	50 × (100 − 40)	− 40
   	100

   
   

   Loss % =	50 × 60	− 40
   	100

   
   Loss % = –10% (–ve sign shows loss)
   Required Loss % = 10% loss
   

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25. A dealer marks his goods at 40 % above the cost price and allows a discount of 20 % on the marked price. The dealer has a

1. 1. loss of 20 %

   
   
   

   2. gain of 25 %

   
   
   

   3. loss of 12 %

   
   
   

   4. gain of 12 %

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the CP of article be ₹ 100.
   ∴  Marked price = ₹ 140
   

   S.P. =	140 × 80	= ₹ 112
   	100

   
   2nd Method to solve this question.
   Here, r = 40%, r₁ = 20%
   

   Required profit or loss % =	r ×(100 − r1)	− r1
   	100

   
   

   Correct Option: D

   Let the CP of article be ₹ 100.
   ∴  Marked price = ₹ 140
   

   S.P. =	140 × 80	= ₹ 112
   	100

   
   ∴  Gain percent = 12%
   2nd Method to solve this question.
   Here, r = 40%, r₁ = 20%
   

   Required profit or loss % =	r ×(100 − r1)	− r1
   	100

   
   

   Required profit or loss % =	40 × (100 − 20)	− 20
   	100

   
   

   Required profit or loss % =	40 × 80	−20
   	100

   
   Required profit or loss % = 32 – 20 = 12% profit
   

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