ML AGGARWAL CLASS 8 CHAPTER 7 Percentage Exercise 7.4

Exercise 7.4

Question 1

Sol :
(i) Cost price of a towel = Rs 50 

Sales tax = 5 % of 50 = Rs 5100×50

= Rs 2.5

 Buying price = cost price + sales Tax =50+2.5= 52.5


(ii) Cost price of flour = Rs 15 per kg 

 Then cost price of 5kg flour = 5 x 15 = Rs 75 

sales Tax = 5 % of 75 = 

5100×75

Rs 3.75

Buying  price = cost price + Sales tax 

= 75 + 3 .75 = Rs 78 .75


Question 2

Sol :

(i) Let the original price of TV be x.

VAT=8%ofx=₹\left(\frac{8}{100} \times  x\right)= ₹\frac{2 x}{25} .$

Price including VAT=(x+2x25)=27x25

27x25=13,500x=13,500×2527=12,500


(ii) Now 

27x25=180x=180×2527x=166.67


Question 3

Sol :

Let the original price of AC be {x

∴ V A T=₹8 % of x=2x25

Price including VAT=(x+2π25)=27x25

27x25=34,992x=34,992×2527x=32,400.



Question 4

Sol :
Price including V A T=Rs  1296

Original price of shirt =Rs 1200

Let VAT be "x"

price including VAT = x % of original price + original price

1296=(1100×1200+1200)

12 x=1296-1200

12 x=96

x=18 %

VAT=8%

Question 5

Sol :

Price of purse including 8 % VAT=523.8

Let the original price be Rs x

price including VAT= original price +8 % of original

523.8=x+8 % d x

523.8=x+8x100=x+2x25

27x25=5238

x=Rs 485


Now VAT increased by 10 %

New selling price 

=485+10% of 485=485+10100×485.=485+48.5

= Rs 533.5

ஃ  Now selling price of purse = Rs 533.5


Question 6

Sol :

Marked price =4800
Rate of discount =10 %
 Discount =10100×4,800=480

S.P of wall hanging =M.P- Discount
=4,800-480
= Rs 4,320 

Now VAT 8 % of 4320=8100×4320=345.6

Bill amount =4,320+345.6=₹ 4665.6

Hence, the Customer has to pay 4665.6 in Cash to purchase



Question 7

Sol :

Let the reduced price of washing machine be Rs x 

VAT = 9 % of x = Rs (9100×x)=91100

Amount paid by Amit = x +9x100109x100

As Amit has 10,900 to purchase it,

1091100=10,900x=10,9××100109=10,000

The reduced price of washing machine = 10,000

So, amount reduced =10,900-10,000

=2900

Hence, the amount reduced by shopkeeper is  Rs 900

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