Exercise 7.2 (Revised) - Chapter 8 - Comparing Quantities - Ncert Solutions class 8 - Maths

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NCERT Solutions for Class 8 Maths Chapter 7 - Comparing Quantities

Ex 7.2 Question 1.

During a sale, a shop offered a discount of $10 \%$ on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs.1450and two shirts marked at Rs. 850 each?

Answer.

Rate of discount on all items $=10 \%$
Marked Price of a pair of jeans = Rs. 1450 and Marked Price of a shirt = Rs. 850
Discount on a pair of jeans
$
=\frac{\text { Rate } \times \text { M.P. }}{100}=\frac{10 \times 1450}{100}=\text { Rs. } 145
$
$\therefore$ S.P. of a pair of jeans $=$ Rs. $1450-$ Rs. $145=$ Rs. 1305
Marked Price of two shirts $=2 \times 850=$ Rs. 1700
Discount on two shirts $=\frac{\text { Rate } \times \text { M.P. }}{100}=\frac{10 \times 1700}{100}=$ Rs. 170
$\therefore$ S.P. of two shirts $=$ Rs. $1700-$ Rs. $170=$ Rs. 1530
Therefore the customer had to pay $=1305+1530$

= Discount on a pair of jeans
$
\begin{aligned}
& =\frac{\text { Rate } \times \text { M.P. }}{100}=\frac{10 \times 1450}{100} \\
& =\text { Rs. } 145
\end{aligned}
$
$\therefore$ S.P. of a pair of jeans
$
=\text { Rs. } 1450-\text { Rs. } 145=\text { Rs.2,835 }
$

Thus, the customer will have to pay Rs.2,835

Ex 7.2 Question 2.

The price of a TV is Rs. 13,000 . The sales tax charged on it is at the rate of $12 \%$. Find the amount that Vinod will have to pay if he buys it.

Answer.

C.P. $=$ Rs. 13,000 and S.T. rate $=12 \%$
Let C.P. be Rs.100, then S.P. for purchaser
$
=100+12=\text { Rs. } 112
$
$\because$ When C.P. is Rs. 100 , then S.P. $=$ Rs. 112
$\therefore$ When C.P. is Rs.1, then S.P. $=\frac{112}{100}$
$\therefore$ When C.P. is Rs. 13,000 , then S.P.
$
=\frac{112}{100} \times 13000=\text { Rs. } 14,560
$

He will have to pay Rs. 14,560
Ex 7.2 Question 3.

Arun bought a pair of skates at a sale where the discount given was $20 \%$. If the amount he pays is Rs.1,600, find the marked price.

Answer.

S.P. $=$ Rs. 1,600 and Rate of discount $=20 \%$

Let M.P. be Rs. 100 , then S.P. for customer $=100-20=$ Rs. 80
$\because$ When S.P. is Rs. 80 , then M.P. $=$ Rs. 100
$\therefore$ When S.P. is Rs.1, then M.P. $=\frac{100}{80}$
$\therefore$ When S.P. is Rs. 1600 , then M.P.
$
=\frac{100}{80} \times 1600=\text { Rs. } 2,000
$

Thus, the marked price was Rs. 2,000

Ex 7.2 Question 4.

I purchased a hair-dryer for Rs.5,400 including 8\% VAT. Find the price before VAT was added.

Answer.

C.P. $=$ Rs.5,400 and Rate of VAT $=8 \%$

Let C.P. without VAT is Rs. 100, then price including VAT $=100+8=$ Rs. 108
$\because$ When price including VAT is Rs. 108 , then original price $=$ Rs. 100
$\therefore$ When price including VAT is Rs.1, then original price $=\frac{100}{108}$
$\therefore$ When price including VAT is Rs.5400, then original price $=\frac{100}{108} \times 5400=$ Rs. 5000
Thus, the price of Hair Dryer before the addition of VAT was Rs 5000
Ex 7.2 Question 5.

An article was purchased for Rs. 1239 including GST of $18 \%$. Find the price of the

article before GST was added?
Answer.

Given,
$
\mathrm{GST}=18 \%
$

Cost with GST included $=$ Rs. 1239
Cost without GST $=\mathrm{x}$ Rs.
$
x+(18 / 100 \times x)=1239
$
cost before GST+ GST = cost with GST
$
\begin{aligned}
& x+(9 x / 50)=1239 \\
& x=1050
\end{aligned}
$

Price before GST $=1050$ rupees