ML AGGARWAL CLASS 8 CHAPTER 7 Percentage Exercise 7.3

    Exercise 7.3

Question 1

Sol :

(i)

Marked price = 575, discount =12 %

Discount percentage =( Discount  Marked price ×100)%

12= Discont 575×100 Discount =12×575100

Discount =₹69

Selling price = Marked price - Discount =575-69
=₹506



(ii)  Printed price = 12,750, discount =813%

Discount percentage =( Discount  Marked price ×100)%

253=D discount 12,750×100

Discount =253×12,7501004=1062.5

Selling price = Marked price or printed price - discount
=12,750-1062.5
=11,687.5

Question 2

Sol :

(i) Marked price=780, 
Selling price =2721.5

Selling price = Marked price - Discount
Discount = Marked price - Selling price
=780-721.5
=58.5

Discount percentage = Discount  Marked price ×100%
=58.5780×100%
=7.5 %

(ii) Advertised price (or)
Marked price =₹28,500

selling price =₹24510$.

Selling price = Marked rice - Discount

 Dis count = Marked price - selling price =28,50024,510=3990 Discount. Percentage = Discount  marked price ×100
=399028500×100%
=14 %

Question 3

Sol :
Marked price =₹ 30. (each)

Discount % = Discount  Marked price ×100

Discount =15×30100=4.5

Discount on one note book =4.5

Discount on dozen note books =12×4.5=54

Marked price on note books =12×30=360

Selling price = Marked price - Discount
=360-54
=₹ 306

Question 4

Sol :

Selling price = Rs 728    
Discount = 9 % 

sp=(1d100) of Mp728=(19100)×MρMP=728×10091=800

Question 5

Sol :
Marked price =₹ 800
Discount =20 %

(i) Selling price =?

 Discount %= Discant Mρ×100(OR)SP=[1d100] of Mp=[120100]×800=80100×800Sp=640


(ii)  profit = 25 %

SP=\left[1+\frac{p}{100}\right]$ of P

640=[1+25100]×(p)

CP=640×100125

C . P= ₹512


Question 6

Sol :
Marked price = 2,250 
Discount =12 % profit =10 %


(i) SP=[1d100] of Mp=[112100]×2250=88100×2250

=₹ 1980


(ii) S.P=[1+P100] of C.P

1980=[1+10100]×C.P

C.P=1980×100110=1800


Question 7

Sol :
Cost price = Rs 650 , 
Discount = 20% ,  
Profit = 20 % 

(i) S.P=[1+p100] of Cp=[1+20100]×650=120109×65SP=780

(ii) SP=[1d100] of MP

780=[120100]×MP

M.P=780×10080

M.P=₹975


Question 8

Sol :
Cost price = 1200  ,  
Profit = 80 %  ,  
Discount = 15%  


(i)  Marked price =1200+(80%+(p)=1200+(80100×1200)=1200+960=2160

[1d100]×MP

[115100]×2160

85100×2160

=1836


(iii)
  profil percentage =(SPC.Pc.p×100)%=(183612001200×10)%=6361200×100=53%


Question 9

Sol :
Cost price of an article = ₹ 1600

(i) since the cost price is 20 %  below the marked price 

C.P=MP-20% of r

1600=MP20100×MP

1600=[120100]×MPMP=1600×10080MP=2000


(ii) Discount =16%

SP=[1d100]×Mp=[116100]×2000.=8y100×2000Sp=1680

(iii) 
 profit percentage =[s.pC.p×100]%=[168011001600×100]%=801600×100%=5%


Question 10

Sol :
(i)
Discount =20 % ,Profit =20%   ,Selling Price = 360

SP=[1d100] of MP

360=[120100]×M1

MP=360×10080

MP=450


(ii) SP=[1+p100] of CP

360=[1+2010]×(p)

Cp=360×100120

CP=₹ 300



Question 11

Sol :
Marked price of a refrigerator =28,600

The selling price of a refrigerator is

=[110100][15100] of Mp

=90100×9510×28600

= 24,453


Question 12

Sol :

Let the market price be 'x'

first dealer 

 S. P=[115100][15100] of MP=85100×95100×x=17×19×x20×20=0.8075x

Second dealer ;

sp=[120100] of mp=80100×x=4x5=0.8x

As the second dealer offer price is less compared to first order

So the second dealer is best offer


Question 13

Sol :

Let the marked price of an article be x.

and a single discount of d% be equivalent to

two given successive discounts of 30% and 10%, then

(1d100) of ˉx=(136100)(110100)¯x

1d100=78100×90100

1d100=63100

d100=37100

d=37

hence a discount of 37 % is equivalent to two given successive discount 

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