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 $\frac{5}{100} \times 50$

= Rs 2.5

$\begin{aligned} \therefore \text { Buying price } &=\text { cost price }+\text { sales Tax } \\ &=50+2.5=\  52.5 \end{aligned}$

(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 = 

$\frac{5}{100} \times 75$

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.

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

Price including VAT$=₹\left(x+\frac{2 x}{25}\right)= \frac{27 x}{25}$

$\begin{aligned} \therefore \frac{27 x}{25} &=13,500 \\ x &=\frac{13,500 \times 25}{27} \\ &=₹12,500 \end{aligned}$

(ii) Now 

$\begin{aligned} \frac{27 x}{25} &=180 \\ x &=\frac{180 \times 25}{27} \\ & x=₹166.67 \end{aligned}$

Question 3

Sol :

Let the original price of AC be $\left\{x^{\circ}\right.$

∴ V A T=₹8 % of $x=₹\frac{2 x}{25}$

Price including $V A T=₹\left(x+\frac{2 \pi}{25}\right)=₹\frac{27 x}{25}$

$\begin{aligned} \therefore \quad \frac{27 x}{25} &=34,992 \\ x &=\frac{34,992 \times 25}{27} \\ x &= ₹32,400 . \end{aligned}$

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

$1296=\left(\frac{1}{100} \times 1200+1200\right)$

12 x=1296-1200

12 x=96

x=18 %

$\therefore \quad V A T=8 \%$

Question 5

Sol :

Price of purse including 8 % VAT=523.8

Let the original price be Rs x

$\therefore$ price including VAT= original price +8 % of original

523.8=x+8 % d x

$523.8=x+\frac{8 x}{100}=x+\frac{2 x}{25}$

$\frac{27 x}{25}=5238$

x=Rs 485

Now VAT increased by 10 %

New selling price 

$\begin{aligned} &=485+10 \% \text { of } 485 \\ &=485+\frac{10}{100} \times 485 . \\ &=485+48.5 \end{aligned}$

= Rs 533.5

ஃ  Now selling price of purse = Rs 533.5

Question 6

Sol :

Marked price $=\sum 4800$
Rate of discount =10 %
$\text { Discount }=\frac{10}{100} \times 4,800= 480$

S.P of wall hanging =M.P- Discount

=4,800-480

= Rs 4,320 

Now VAT 8 % of $4320=₹ \frac{8}{100} \times 4320=345.6$

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 $\left(\frac{9}{100} \times x\right)= \frac{91}{100}$

Amount paid by Amit = x $+\frac{9 x}{100}$ = $\frac{109 x}{100}$

As Amit has 10,900 to purchase it,

$\therefore \frac{1091}{100}=10,900 \Rightarrow x=\frac{10,9 \times \times 100}{109}=10,000$

$\therefore$ 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