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Class 6Mathematics & Statistics2026-27 Syllabus

Chapter 13 Profit-Loss Practice Set 31 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 13 Profit-Loss Practice Set 31. Step-by-step solved exercises, numerical problems, and digest answers.

9 Solved Questions986 words

6th Standard Maths Practice Set 31 Answers Chapter 13 Profit-Loss

Question 1 Maharashtra Board Solution
The cost price and selling price are given in the following table. Find out whether there was a profit or a loss and how much it was.

Ex.

Cost price (in Rs)

Selling price (in Rs)

Profit or Loss

How much?

i.

4500

5000

ii.

4100

4090

iii.

700

799

iv.

1000

920

Solution & Step-by-Step Answer:

i. Cost price = Rs 4500
Selling price = Rs 5000
Selling price is greater than cost price.
∴ There is a profit.
∴ Profit = Selling price – Cost price
= 5000 – 4500
Profit = Rs 500

ii. Cost price = Rs 4100
Selling price = Rs 4090
Cost price is greater than selling price.
∴ There is a loss.
∴ Loss = Cost price – Selling price
= 4100 – 4090
∴ Loss = Rs 10

iii. Cost price = Rs 700
Selling price = Rs 799
Selling price is greater than cost price.
∴ There is a profit.
∴ Profit = Selling price – Cost price
= 799 – 700
∴ Profit = Rs 99

iv. Cost price = Rs 1000
Selling price = Rs 920
Cost price is greater than selling price.
∴ There is a loss.
∴ Loss = Cost price – Selling price
= 1000 – 920
∴ Loss = Rs 80

Ex.

Cost price (in Rs)

Selling price (in Rs)

Profit or Loss

How much?

i.

4500

5000

Profit

Rs 500

ii.

4100

4090

Loss

Rs 10

iii.

700

799

Profit

Rs 99

iv.

1000

920

Loss

Rs 80

Question 2 Maharashtra Board Solution
A shopkeeper bought a bicycle for Rs 3000 and sold the same for Rs 3400. How much was his profit?
Solution & Step-by-Step Answer:
Cost price = Rs 3000, Selling price = Rs 3400 ∴ Profit = Selling price – Cost price = 3400 – 3000 = Rs 400 The shopkeeper’s profit was Rs 400.
Question 3 Maharashtra Board Solution
Sunandabai bought milk for Rs 475. She converted it into yogurt and sold it for Rs 700. How much profit did she make?
Solution & Step-by-Step Answer:
∴ Cost price = Rs 475, Selling price = Rs 700 ∴ Profit = Selling price – Cost price = 700 – 475 = Rs 225 ∴ Sunandabai made a profit of Rs 225.
Question 4 Maharashtra Board Solution
The Jijamata Women’s Saving Group bought raw materials worth Rs 15000 for making chakalis. They sold the chakalis for Rs 22050. How much profit did the WSG make?
Solution & Step-by-Step Answer:
Cost price of raw materials = Rs 15000 Selling price of chakalis = Rs 22050 ∴ Profit = Selling price – Cost price = 22050 – 15000 = Rs 7050 ∴ The Women’s Saving Group made a profit of Rs 7050.
Question 5 Maharashtra Board Solution
Pramod bought 100 bunches of methi greens for Rs 400. In a sudden downpour, 30 of the bunches on his handcart got spoil. He sold the rest at the rate of Rs 5 each. Did he make a profit or a loss? How much?
Solution & Step-by-Step Answer:
Cost price of 100 bunches of methi green = Rs 400 Since, 30 bunches got spoil, ∴ Remaining bunches of methi green = 100 – 30 = 70 Selling price of 1 bunch of methi green = Rs 5 ∴ Selling price of 70 bunches of methi green = 5 x 70 = Rs 350 Cost price is greater than selling price ∴ Pramod suffered a loss. Loss = Cost price – Selling price = 400 – 350 = Rs 50 ∴ Pramod suffered a loss of Rs 50.
Question 6 Maharashtra Board Solution
Sharad bought one quintal of onions for Rs 2000. Later he sold them all at the rate of Rs 18 per kg. Did he make a profit or incur a loss? How much was it?
Solution & Step-by-Step Answer:
Cost price of one quintal onions = Rs 2000 Selling price of 1 kg onions = Rs 18 Since, 1 quintal = 100 kg ∴ Selling price of 1 quintal (100 kg) onions = 18 x 100 = Rs 1800 Cost price is greater than selling price ∴ Sharad suffered a loss. ∴ Loss = Cost price – Selling price = Rs 2000 – Rs 1800 = Rs 200 ∴ Sharad incurred a loss of Rs 200.
Question 7 Maharashtra Board Solution
Kantabai bought 25 saris from a wholesale merchant for Rs 10000 and sold them all at Rs 460 each. How much profit did Kantabai get in this transaction?
Solution & Step-by-Step Answer:
Cost price of 25 saris = Rs 10000 Selling price of 1 sari = Rs 460 ∴ Selling price of 25 saris = 460 x 25 = Rs 11500 Selling price is greater than cost price. ∴ Profit = Selling price – Cost price = 11500 – 10000 = Rs 1500 ∴ Kantabai made a profit of Rs 1500.

Maharashtra Board Class 6 Maths Chapter 13 Profit-Loss Practice Set 31 Intext Questions and Activities

Question 1 Maharashtra Board Solution
Pranav and sarita had set up stalls in a fun fair. Study the data given below and answer the questions. (Textbook pg. no. 65)
Solution & Step-by-Step Answer:
Total amount invested by Pranav = 70 + 25 + 45 + 14 + 20 = Rs 174 Amount gained through sale = Rs 160 ∴ Selling price is less than invested price. ∴ Pranav incurred a loss in his Pav Bhaji business. Hence, he is disappointed.

Total amount invested by Sarita = 20 + 10 + 30 + 50 + 20 + 60 = Rs 190
Amount gained by selling = Rs 230
∴ Selling price is more than invested price.
∴ Sarita made profit in her business. Hence, she is happy.

Question 2 Maharashtra Board Solution
For the above example,

Solution & Step-by-Step Answer: