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

## 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

Updated: January 31, 2023 — 9:22 pm