Profit and Loss – Maharashtra Board Class 6 Solutions for Mathematics

Profit and Loss – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)

MathematicsGeneral ScienceMaharashtra Board Solutions

Exercise-36

Solution 1:

1. Cost price = Rs. 560
   Selling price = Rs. 600
   Selling price is greater than the cost price.
   Hence, there is a profit.
   Profit = Selling price – Cost price
   = 600 – 560
   = 40
2. Cost price = Rs. 450
   Selling price = Rs. 400
   Selling price is less than the cost price.
   Hence, there is a loss.
   Loss = Cost price – Selling price
   = 450 – 400
   = 50
3. Cost price = Rs. 300
   Selling price = Rs. 345
   Selling price is greater than the cost price.
   Hence, there is a profit.
   Profit = Selling price – Cost price
   = 345 – 300
   = 45
4. Cost price = Rs. 785
   Selling price = Rs. 765
   Selling price is less than the cost price.
   Hence, there is a loss.
   Loss = Cost price – Selling price
   = 785 – 765
   = 20
5. Cost price = Rs. 5180
   Selling price = Rs. 6000
   Selling price is greater than the cost price.
   Hence, there is a profit.
   Profit = Selling price – Cost price
   = 6000 – 5180
   = 820
6. Cost price = Rs. 3050
   Selling price = Rs. 3200
   Selling price is greater than the cost price.
   Hence, there is a profit.
   Profit = Selling price – Cost price
   = 3200 – 3050
   = 150
7. Cost price = Rs. 8600
   Selling price = Rs. 8520
   Selling price is less than the cost price.
   Hence, there is a loss.
   Loss = Cost price – Selling price
   = 8600 – 8520
   = 80

S. No.	Cost price (Rs)	Selling price (Rs)	Profit (Rs)	Loss (Rs)
(1)	560	600	40	–
(2)	450	400	–	50
(3)	300	345	45	–
(4)	785	765	–	20
(5)	5180	6000	820	–
(6)	3050	3200	150	–
(7)	8600	8520	–	80

Exercise-37

Solution 1:
Cost price of 1 toy = Rs. 20
∴ Cost of 15 toys = Rs. 15 × 20 = Rs. 300
Selling price of 15 toys = Rs. 345
As the selling price is greater than the cost price, Maganseth has made a profit.
Profit = Selling price – Cost price
= 345 – 300
= 45
∴ Maganseth makes a profit of Rs. 45.

Solution 2:
Cost price of 50 apples = Rs. 260
Selling price of 1 apple = Rs. 5
∴Selling price of 50 apples = 5 × 50 = Rs. 250
Here, the selling price is lower than cost price.
It means that Hanif has suffered a loss.
Loss = Cost price – Selling price
= 260 – 250
= 10
∴Hanif suffered a loss of Rs. 10

Solution 3:
Cost price of 10 pencils = Rs. 12.50
Selling price of 1 pencil = Rs. 1.50
∴ Selling price of 10 pencils = 1.50 × 10 = Rs. 15
As the selling price is greater than cost price, Harbhajan has made a profit.
Profit = Selling price – Cost price
= 15 – 12.50
= 2.50
∴Harbhajan made a profit of Rs. 2.50.

Solution 4:
Cost of 1 kg of brinjals = Rs. 6
∴ Cost of 40 kg of brinjals = 6 × 40 = Rs. 240
Selling price of 25 kg of brinjals = 25 × 8 = Rs. 200
Selling price of the remaining 15 kg of brinjals = 15 × 6 = Rs. 90
∴ Total selling price = 200 + 90 = Rs. 290
As the selling price is greater than the cost price, Azim has made a profit.
Profit = Selling price – Cost price
= 290 – 240
= 50
∴Azim made a profit of Rs. 50

Solution 5:
Cost price of 28 kg of tea = 28 × 72 = Rs. 2016
Cost price of 56 kg of tea = 56 × 90 = Rs. 5040
Total cost price of 84 kg of tea = Rs. 2016 + Rs. 5040 = Rs. 7056
Selling price of 84 kg of tea = 84 × 85 = Rs. 7140
As selling price is greater than cost price, there is a profit.
Profit = Selling price – Cost price
= 7140 – 7056
= 84
∴ Profit = Rs. 84

Solution 6:
Cost price 1 kg of sugar = Rs. 17
∴Cost price of 96 kg of sugar = 96 × 17 = Rs. 1632
Selling price of 1 kg of sugar = Rs. 18.5
∴ Selling price of 96 kg of sugar = 96 × 18.5 = Rs. 1776
Profit = Selling price – Cost price
= 1776 – 1632
= Rs. 144
∴ Kaustubh made a profit of Rs. 144

Exercise-38

Solution 1:
Selling price of 15 shirts = Rs. 2340
Loss = Rs. 60
But,
Loss = Selling price + Cost price
∴ Cost price of 15 shirts = Selling price + Loss
= 2340 + 60
= Rs. 2400
∴ Cost price of each shirt = 2400 ÷ 15
= Rs. 160
The cost price of each shirt is Rs. 160.

Solution 2:
Selling price of 1 toy = Rs. 5
∴ Selling price of 40 toys = 5 × 40 = Rs. 200
Profit = Rs. 80
But,
Profit = Selling price – Cost price
∴ Cost price of 40 toys = Selling price – Profit
= 200 – 80
= Rs. 120
∴Cost price of each toy = 120 ÷ 40 = Rs. 3
Cost price of each toy = Rs. 3

Solution 3:
Selling price of 4 hectares of land = Rs. 1600000
Profit = Rs. 50000
But,
Profit = Selling price – Cost price
∴ Cost price of 4 hectares of land = Selling price – profit
= 1600000 – 50000
= Rs. 1550000
∴ Cost price of each hectare of land = 1550000 ÷ 4
= Rs. 387500
Cost price of each hectare of land is Rs. 3,87,500

Solution 4:
Selling price of 16 clocks = Rs. 1570
Loss = Rs. 190
But,
Loss = Cost price – Selling price
∴ Cost price of 16 clocks = Selling price + Loss
= 1570 + 190
= Rs. 1760
∴ Cost price of each clock = 1760 ÷ 16
= Rs. 110
Cost price of each clock is Rs. 110