**Rd sharma Class 8 Chapter 13 Profit Loss Discount and Value Added Tax (Vat) Exercise 13.2 Solutions**

This post is created to help all the CBSE Class 8 students for the Solutions of Rd sharma Class 8 Mathematics Book, Chapter 13 Profit Loss Discount and Value Added Tax (Vat) Exercise 13.2. Here students can easily find step by step solutions of all the problems for Profit Loss Discount and Value Added Tax (Vat) Exercise 13.2. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily.

**Chapter 13 – Profit Loss Discount and Value Added Tax (Vat)**

**Profit Loss Discount and Value Added Tax (Vat) – Exercise 13.2 all Questions Solution**

**(1) Find the S.P. if, **

**Solution : **

(i) In the question,

M.P = Rs 1300 and Discount = 10%

∴ Selling Price

= 1300 × 90/100

= 1170

Hence, the Selling Price is Rs 1170.

(ii) In the given question,

Market Price = Rs 500 and discount = 15%

∴ Market Price = 500

Discount = 15%

∴ Selling Price,

= 500 × 85/100

= 425 Rs.

**(2) Find the M.P. if, **

**Solution : **

(i) In the question,

Selling Price = Rs 1222 and discount = 6%

∴ SP = 1222

Discount = 6%

∴ Market Price

= 1222 × 100/94

= 1300 Rs.

(ii) In the given question,

Market Price = Rs 495 and discount = 1%

∴ Selling Price = 495

discount = 1%

∴ Market Price,

= 495 × 100/99

= 500 Rs.

**(3) Find discount in percent when, **

**Solution : **

(i) In the question,

Market Price = Rs 900 and SP = Rs 873

∴ Market Price = 900

Selling Price = 873

∴ Discount = MP – SP

= 90 – 873

= 27

∴ Discount percent (%)

= 27 × 100/900

= 3%

(ii) According to the question,

Market Price = 500

Selling Price = 425

∴ Discount,

= 500 – 425

= 75

∴ Discount percent (%)

= 75 × 100/50

= 25%

**Question no – (4) **

**Solution : **

According to the given question,

Market Price = 650

Discount = 3%

∴ Selling Price,

= 650 × 97/100

= 630.50

Therefore, customer pay for swing machine is Rs 630.50

**Question no – (5) **

**Solution : **

As per the given question,

Market Price= 720

Selling Price = 684

∴ Discount,

= 720 – 684

= 36

∴ Discount Percent (%)

= 100 × 36/720

= 5%

**Question no – (6) **

**Solution : **

According to question,

Selling Price = 720

Discount = 20%

∴ MP = 720 × 100/80

= 900

Thus, the marked price of the saree is 900 Rs.

**Question no – (7) **

**Solution : **

As per the given question,

Selling Price = 555

Discount = 7 1/2% = 15/2

∴ Market Price = 555 × 100 /185/2

= 555 × 100 × 2 /185

= 600

Therefore, the marked price of the article is Rs. 600

**Question no – (8) **

**Solution : **

As per the question,

Market Price = 250

Discount = 10%

∴ Selling Price

= 250 × 90/100

= 225 Rs

Profit = 25%

∴ Cost Price

= 225 × 100/125

= 180 Rs

Therefore, the actual cost of article is Rs. 180.

**Question no – (9) **

**Solution : **

According to question,

Market Price = 500

Discount = 20%

∴ Selling Price,

= 500 × 80 /100

= 400 Rs

Profit = 25%

∴ Cost Price

= 400 × 100/125

= 320 Rs

Therefore, the actual cost of article is Rs 320.

**Question no – (10) **

**Solution : **

Cost Price = 170

Profit = 20%

∴ Selling Price

= 170 × 120/100

= 204

Discount = 15%

∴ Market Price

= 204 × 100/85

= 240

Hence, the marked price of article is Rs. 240

**Question no – (11) **

**Solution : **

Let Cost Price = x

∴ Profit = 50%

∴ Selling Price = 150x/100 = 3x/2

Again, Let Market Price = y

∴ Discount = 25%

∴ Selling Price = 75y/100 = 3y/4

According to question,

3x/2 = 3y/4

= x/y = 1/2

∴ x : y = 1 : 2

Hence, the ratio of the Cost Price to the Market Price is 1 : 2.

**Question no – (12) **

**Solution : **

Let the advertised price = x

Commission = 23% = 23x/100

∴ After commission Selling Price of Item = x – 23x/100

= 100x – 23x/100

= 77x/100

New profit = 10%

∴ Cost Price = 77x/100 ×10/100

= 77x × 100/ 100 × 100

= 7x/10

According to question,

Selling Price – CP = gain

77x/100 – 7x/10 = 56

or, 77x – 70x/100 = 56

or, 7x = 56 × 100

or, x = 56 × 100/7 = 800

Therefore, his advertised price is Rs. 800

**Question no – (13) **

**Solution : **

Let, Cost Price = x

mark at = 40% above on Cost Price

∴ Market Price = 140x/150 = 7x/5

Now discount% = 5%

∴ Discount value = 7x/5 × 5 /10

= 7x × 5/5 × 100

= 7x/100

Given Selling Price = 1064

According to question,

7x/5 – 7x/100 = 1064

or, 140x – 7x/100 = 1064

or, 133x = 1064 × 100

or, x = 1064 × 100 /133 = 800

∴ Cost Price = 800

∴ Selling Price = 1064

∴ Profit = 1064 – 800

= 264

**Question no – (14) **

**Solution : **

Given,

profit% = 16%

profit = 48

∴ C.P = profit /profit × 100

= 48/16 × 100

= 300

∴ S.P = 300 × 116/150

= 348

Now, discount = 25%

∴ M.P

= 348 × 100/75

= 464

**Question no – (15) **

**Solution : **

As per the question,

M.P. = 275

Discount = 32%

∴ S.P. = 275 × 68/100

= 18700/100

= 187

Therefore, the bookseller pay Rs. 187 for a book.

**Question no – (16) **

**Solution : **

Let, C.P = x

Loss = 10%

∴ S.P = 90x/100

Now, discount = 20%

∴ M.P = 90x/100 × 100/80

= 90x × 100 /100 × 80

= 9x/8

∴ Loss = 9x/8 – x

= 9x – 8x/8

= x/8

∴ Loss% = (x/8) / x × 100

= x × 100 / 8 × x

= 12.5%

**Question no – (17) **

**Solution : **

Let S.P of fan = x

M.P of table = 480

∴ Discount = 25%

∴ C.P = 480 × 75/100 = 360

Now profit% = 15%

According to question,

x – 360/ 360 = 15/100

or, x – 360 = 15 × 36/10 = 54

or, x = 54 + 360

x = 414

**Question no – (19) **

**Solution : **

According to question,

S.P = 660

Profit = 10%

∴ C.P = 660 × 100/110

= 60

∴ Discount = 25%

∴ M.P = 600 × 100/75

= 800

Therefore, the marked price of the item is Rs. 800

**Question no – (20) **

**Solution : **

Let, M.P. = x

Discount = 20%

∴ S.P = 80x/100 = 4x/5

Now profit = 20%

∴ C.P = 4x/5 × 100/120

= 4x × 100/ 5× 120

= 2x/3

Given, gain = 360

∴ According to question,

4x/5 – 2x/3 = 360

or, 12x- 10x/15 = 360

or, 2x = 360 × 15

or, x = 360 × 15/2 = 2700

Therefore, the marked price of the cycle is Rs. 2700

**Question no – (21) **

**Solution : **

According to the question,

C.P = 1470

Profit = 10%

S.P = 1470 × 110/100

= 1617

Now, discount 12.5%

∴ M.P = 1617 × 10 /87.5

= 1617 × 100/8750

= 1848

Thus, the marked price of a suit is Rs 1848

**Question no – (22) **

**Solution : **

Cost Price = 1200

gain = 12%

∴ Selling Price = 1200 × 112/100 = 1344

Now discount = 16%

∴ M.P = 1344 × 100/84 = 1600

Therefore, Aslam should mark Rs. 1600 on a pair of shoes.

**Question no – (23)**

**Solution : **

M.P = 850

Discount = 4%

∴ S.P = 850 × 96/100

= 816

Now, profit = 20%

∴ C.P = 816 × 100 /120

= 680

Thus, the cost price of a shirt is Rs. 680.

**Question no – (24)**

**Solution : **

In the given question,

M.P = 1120

Discount = 10%

∴ S.P = 1120 × 90/100 = 1008

Now, Profit = 26%

∴ C.P = 1008 × 100/126

= 800

Therefore, the cost price for shopkeeper on pair of shoes is Rs. 800.

**Question no – (25)**

**Solution : **

In the question,

MP = 1250

Discount = 10%

∴ S.P = 1250 × 90/100

= 1125

Now, Profit = 25%

∴ C.P = 1125 × 100/125

= 900

Therefore, the cost price of a fan for her is Rs. 900