Maharashtra Board Class 6 Maths Chapter 13 Profit Loss Set 32 Solutions

Profit-Loss Class 6 Maths Chapter 13 Practice Set 32 Solutions Maharashtra Board

Std 6 Maths Practice Set 32 Solutions Answers

Question 1. From a wholesaler, Santosh bought 400 eggs for Rs 1500 and spent Rs 300 on transport. 50 eggs fell down and broke. He sold the rest at Rs 5 each. Did he make a profit or a loss? How much?
Answer: Solution:
Cost price of 400 eggs = Rs 1500
Transportation cost = Rs 300
Therefore, Total cost price of 400 eggs = Cost price of 400 eggs + Transportation cost
= 1500 + 300 = Rs 1800
50 eggs fell and broke
Therefore, Remaining eggs = 400 - 50 = 350
Selling price of 1 egg = Rs 5
Therefore, Selling price of 350 eggs = 5 x 350 = Rs 1750
Total cost price is greater than the selling price.
Therefore, Santosh suffered a loss.
Loss = Total cost price - Selling price
= 1800 - 1750
= Rs 50
Therefore, Santosh incurred a loss of Rs 50.
In simple words: Santosh's total cost for 400 eggs was Rs 1800. After 50 broke, he sold the remaining 350 eggs for Rs 1750. Since his cost was more than his selling price, he incurred a loss of Rs 50.

🎯 Exam Tip: Remember to calculate the total cost price, which includes the purchase price and any additional expenses like transport, before comparing it with the selling price to determine profit or loss.

Question 2. Abraham bought goods worth Rs 50000 and spent Rs 7000 on transport and octroi. If he sold the goods for Rs 65000, did he make a profit or a loss? How much?
Answer: Solution:
Cost price of goods = Rs 50000
Transportation cost and octroi = Rs 7000
Therefore, Total cost price for buying goods = Cost price of goods + Transportation cost and octroi
= 50000 + 7000 = Rs 57000
Selling price of goods = Rs 65000
Selling price is greater than the total cost price
Therefore, Abraham made a profit.
Profit = Selling price - Total cost price
= 65000 - 57000
= Rs 8000
Therefore, Abraham made a profit of Rs 8000.
In simple words: Abraham's total cost was Rs 57000 (purchase + transport). He sold the goods for Rs 65000. Since his selling price was higher, he made a profit of Rs 8000.

🎯 Exam Tip: Always include all incidental expenses like transport and octroi in the calculation of the total cost price to accurately determine profit or loss.

Question 3. Ajit Kaur bought a 50 kg sack of sugar for Rs 1750, but as sugar prices fell, she had to sell it at Rs 32 per kg. How much loss did she incur?
Answer: Solution:
Cost price of 50 kg sugar = Rs 1750
Selling price of 1 kg sugar = Rs 32
Therefore, Selling price of 50 kg sugar = 50 x 32 = Rs 1600
Loss = Total cost price - Selling price
= 1750 - 1600 = Rs 150
Therefore, Ajit Kaur incurred a loss of Rs 150.
In simple words: Ajit Kaur bought sugar for Rs 1750. Due to a price drop, she sold the same amount for Rs 1600. Her selling price was less than her cost price, resulting in a loss of Rs 150.

🎯 Exam Tip: When dealing with bulk purchases, ensure you calculate the total selling price for the entire quantity before comparing it with the total cost price.

Question 4. Kusumtai bought 80 cookers at Rs 700 each. Transport cost her Rs 1280. If she wants a profit of Rs 18000, what should be the selling price per cooker?
Answer: Solution:
Cost price of one cooker = Rs 700
Therefore, Cost price of 80 cookers = 700 x 80 = Rs 56000
Transportation cost = Rs 1280
Therefore, Total cost price = Cost price of 80 cookers + Transportation cost
= 56000 + 1280
= Rs 57280
Profit = Rs 18000
Profit = Selling Price - Total Cost Price
Therefore, Required selling price = Total cost price + profit
= 57280 + 18000
= Rs 75280
Therefore, Selling price of 80 cookers = Rs 75280
Therefore, Selling price of 1 cooker = \( \frac{75280}{80} \) = Rs 941
Therefore, The selling price per cooker should be Rs 941.
In simple words: Kusumtai's total cost for 80 cookers, including transport, was Rs 57280. To make a profit of Rs 18000, her total selling price needs to be Rs 75280. Dividing this by 80, each cooker must be sold for Rs 941.

🎯 Exam Tip: When a desired profit is given, add it to the total cost price to find the required total selling price. Then, divide by the number of items to find the per-item selling price.

Question 5. Indrajit bought 10 refrigerators at Rs 12000 each and spent Rs 5000 on transport. For how much should he sell each refrigerator in order to make a profit of Rs 20000?
Answer: Solution:
Cost price of 1 refrigerator = Rs 12000
Cost price of 10 refrigerator = 10 x 12000 = Rs 120000
Transportation cost = Rs 5000
Therefore, Total cost price of 10 refrigerators = Cost price of 10 refrigerators + Transportation cost
= 120000 + 5000 = Rs 125000
Profit = Rs 20000
Profit = Selling Price - Total Cost Price
Therefore, Required selling price = Total cost price + Profit
= 125000 + 20000 = Rs 145000
Therefore, Selling price of 10 refrigerators = Rs 145000
Therefore, Selling price of 1 refrigerator = \( \frac{145000}{10} \) = Rs 14500
Therefore, Indrajit must sell each refrigerator at Rs 14500 to make a profit of Rs 20000.
In simple words: Indrajit's total cost for 10 refrigerators, including transport, was Rs 125000. To achieve a Rs 20000 profit, he needs to sell them for a total of Rs 145000. This means each refrigerator must be sold for Rs 14500.

🎯 Exam Tip: Break down complex problems into smaller steps: calculate total cost, then total required selling price for profit, and finally, the per-unit selling price.

Question 6. Lalitabai sowed seeds worth Rs 13700 in her field. She had to spend Rs 5300 on fertilizers and spraying pesticides and Rs 7160 on labor. If, on selling her produce, she earned Rs 35400 what was her profit or her loss?
Answer: Solution:
Cost price of seeds = Rs 13700
Cost of fertilizers and pesticides = Rs 5300
Labor cost = Rs 7160
Therefore, Total cost price = Cost price of seeds + Cost of fertilizers and pesticides + Labor cost
= 13700 + 5300 + 7160
= Rs 26160
Selling price = Rs 35400
Selling price is greater than the total cost price.
Therefore, Lalitabai made a profit.
Profit = Selling price - Cost price
= 35400 - 26160
= Rs 9240
Therefore, Lalitabai made a profit of Rs 9240.
In simple words: Lalitabai's total investment for farming (seeds, fertilizers, labor) was Rs 26160. She sold her produce for Rs 35400. Since her selling price was higher than her total costs, she made a profit of Rs 9240.

🎯 Exam Tip: Ensure all expenses related to production, from initial purchase to labor, are included in the total cost price for an accurate profit/loss calculation in agricultural contexts.

Maharashtra Board Class 6 Maths Chapter 13 Profit-Loss Practice Set 32 Intext Questions And Activities

Question 1. At Diwali, in a certain school, the students undertook a Design a Diya project. They bought 1000 diyas for Rs 1000 and some paint for Rs 200. To bring the diyas to the school, they spent Rs 100 on transport. They sold the painted lamps at Rs 2 each. Did they make a profit or incur a loss? (Textbook pg. no. 67 and 68)
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र तीन छात्रों को दिखाता है जो बैठे हुए दीये (छोटे मिट्टी के दीपक) रंग रहे हैं, जो उनके चारों ओर फैले हुए हैं। वे एक कला और शिल्प गतिविधि में लगे हुए हैं, संभवतः एक स्कूल परियोजना या बिक्री के लिए।
i. Is Anju right?
ii. What about the money spent on paints and transport?
iii. How much money was actually spent before the diyas could be sold?
iv. How much actual profit was made in this project of colouring the diyas and selling them?
Answer:Ans:
Cost price of diyas Rs 1000
and selling price Rs 2000.
So, profit was Rs 1000.
i. No, Anju is wrong.
Cost price of diyas also includes the painting and transportation cost.
Therefore, Total cost price of diyas = Cost of diyas + Cost of paint + Transportation cost
= 1000 + 200 + 100
= Rs 1300
ii. The cost of paint was Rs 200 and that for transportation was Rs 100. These costs are also to be added to the cost price of diyas.
iii. Rs 1300 was actually spent before the diyas could be sold.
iv. Total Cost Price of 1000 Diyas = Rs 1300
Selling Price of 1 Diya = Rs 2
Therefore, Selling Price of 1000 Diyas = 2 x 1000 = Rs 2000
Therefore, Profit = Selling Price - Total Cost Price
= 2000 - 1300
= Rs 700
Therefore, The profit made by coloring the diyas and selling them was Rs 700.
In simple words: The total cost for the Diwali diya project, including buying diyas, paint, and transport, was Rs 1300. By selling all 1000 painted diyas at Rs 2 each, they earned Rs 2000. This resulted in a profit of Rs 700.

🎯 Exam Tip: For multi-part questions, address each sub-question clearly and methodically. Ensure all additional expenses are factored into the total cost price for accurate profit calculation.

Question 2. A farmer sells what he grows in his fields. How is the total cost price calculated? What does a farmer spend on his produce before he can sell it? What are the other expenses besides seeds, fertilizers and transport? (Textbook pg. no. 68)
Answer: Solution:
The farmer, in order to calculate the total cost price of his produce, needs to consider all the expenses associated with the growing and selling of his produce.
Following are the things on which farmer spends money before he can sell it.
1. Time and energy
2. Ploughing and tilling
3. Irrigation and electricity cost
4. Harvesting and cleaning
5. Packing
As given above, there are a multiple of costs to be included besides seeds, fertilizers and transport for the farmer to price its produce appropriately.
In simple words: A farmer's total cost price includes not just seeds, fertilizers, and transport, but also expenses like time, energy, ploughing, tilling, irrigation, electricity, harvesting, cleaning, and packing. All these factors contribute to the final price before selling.

🎯 Exam Tip: When analyzing a farmer's income, it's crucial to account for all input costs, not just the obvious ones, to get a realistic picture of profit or loss.