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$.
Selling price = Marked rice - Discount
Dis count = Marked price - selling price =28,500−24,510=3990 Discount. Percentage = Discount marked price ×100
=399028500×100%
=14 %
Question 3
Sol :
Marked price =₹ 30. (each)
Discount % = Discount Marked price ×100
Discount =15×30100=4.5
Discount on one note book =4.5
Discount on dozen note books =12×4.5=54
Marked price on note books =12×30=360
Selling price = Marked price - Discount
=360-54
=₹ 306
Question 4
Sol :
Selling price = Rs 728
Discount = 9 %
s⋅p=(1−d100) of M⋅p728=(1−9100)×M⋅ρM⋅P=728×10091=₹800
Question 5
Sol :
Marked price =₹ 800
Discount =20 %
(i) Selling price =?
Discount %= Discant M⋅ρ×100(OR)S⋅P=[1−d100] of M⋅p=[1−20100]×800=80100×800S⋅p=₹640
(ii) profit = 25 %
SP=\left[1+\frac{p}{100}\right]$ 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=[1−d100] of M⋅p=[1−12100]×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 C⋅p=[1+20100]×650=120109×65S⋅P=780
(ii) S⋅P=[1−d100] of MP
780=[1−20100]×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
[1−d100]×MP
[1−15100]×2160
85100×2160
=1836
(iii)
profil percentage =(S⋅P−C.Pc.p×100)%=(1836−12001200×10)%=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=M⋅P−20100×M⋅P
1600=[1−20100]×M⋅PM⋅P=1600×10080M⋅P=2000
(ii) Discount =16%
S⋅P=[1−d100]×M⋅p=[1−16100]×2000.=8y100×2000S⋅p=1680
(iii)
profit percentage =[s.pC.p×100]%=[1680−11001600×100]%=801600×100%=5%
Question 10
Sol :
(i)
Discount =20 % ,Profit =20% ,Selling Price = 360
SP=[1−d100] of MP
360=[1−20100]×M⋅1
MP=360×10080
MP=450
(ii) SP=[1+p100] of CP
360=[1+201⋅0]×(⋅p)
C⋅p=360×100120
CP=₹ 300
Question 11
Sol :
Marked price of a refrigerator =28,600
The selling price of a refrigerator is
=[1−10100][1−5100] of M⋅p
=90100×9510∘×28600
= 24,453
Question 12
Sol :
Let the market price be 'x'
first dealer
S. P=[1−15100][1−5100] of M⋅P=85100×95100×x=17×19×x20×20=0.8075x
Second dealer ;
s⋅p=[1−20100] of m⋅p=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
(1−d100) of ˉ₹x=(1−36100)(1−10100)¯₹x
1−d100=78100×90100
1−d100=63100
d100=37100
d=37
hence a discount of 37 % is equivalent to two given successive discount
Comments
Post a Comment