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
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 +9x100 = 109x100
As Amit has 10,900 to purchase it,
∴1091100=10,900⇒x=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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