What is Solving Problems based on Money?

S6-SA1-0143

Grade Level:

Class 10

AI/ML, Physics, Biotechnology, Space Technology, Chemistry, Engineering, Medicine

Definition

What is it?

Solving Problems based on Money means using mathematical skills to understand and manage situations involving money. This includes calculating costs, profits, losses, interest, and making smart financial decisions in everyday life.

Simple Example

Quick Example

Imagine your family wants to buy a new smartphone for Rs. 15,000. If they save Rs. 3,000 every month, how many months will it take to save enough money? You would divide the total cost (15,000) by the monthly savings (3,000) to get 5 months.

Worked Example

Step-by-Step

PROBLEM: A street food vendor buys 100 samosas for Rs. 5 each. They sell 80 samosas for Rs. 8 each and the remaining 20 samosas for Rs. 6 each (because they are getting cold). What is their total profit or loss?
---Step 1: Calculate total cost of samosas.
Total Cost = Number of samosas * Cost per samosa = 100 * Rs. 5 = Rs. 500
---Step 2: Calculate revenue from the first batch of samosas.
Revenue (batch 1) = Samosas sold * Price per samosa = 80 * Rs. 8 = Rs. 640
---Step 3: Calculate revenue from the second batch of samosas.
Revenue (batch 2) = Remaining samosas * Price per samosa = 20 * Rs. 6 = Rs. 120
---Step 4: Calculate total revenue.
Total Revenue = Revenue (batch 1) + Revenue (batch 2) = Rs. 640 + Rs. 120 = Rs. 760
---Step 5: Calculate profit or loss.
Profit/Loss = Total Revenue - Total Cost = Rs. 760 - Rs. 500 = Rs. 260
---Answer: The vendor made a profit of Rs. 260.

Why It Matters

Understanding money-based problems is crucial in fields like AI/ML for financial modeling, in Engineering for project budgeting, and even in Medicine for hospital administration. Careers like financial analysts, business managers, and data scientists constantly use these skills to make informed decisions.

Common Mistakes

MISTAKE: Confusing profit with revenue. Students often think the total money received is profit. | CORRECTION: Revenue is the total money earned from sales, while profit is revenue minus all costs.

MISTAKE: Not considering all costs. Forgetting to include expenses like transportation or raw materials. | CORRECTION: Always list down all possible costs involved before calculating total expenditure.

MISTAKE: Incorrectly applying percentages for discounts or interest. Adding a discount instead of subtracting it. | CORRECTION: Remember that a discount reduces the price, and interest usually adds to an amount (for savings) or debt (for loans).

Practice Questions

Try It Yourself

QUESTION: If you buy a cricket bat for Rs. 1200 and sell it for Rs. 1500, what is your profit? | ANSWER: Rs. 300

QUESTION: A mobile phone costs Rs. 18,000. If there's a 10% discount, how much do you pay? | ANSWER: Rs. 16,200

QUESTION: Your uncle invests Rs. 50,000 in a fixed deposit that gives 6% simple interest per year. How much total money will he have after 3 years? | ANSWER: Rs. 59,000

MCQ

Quick Quiz

What is the formula to calculate profit?

Profit = Cost Price - Selling Price

Profit = Selling Price + Cost Price

Profit = Selling Price - Cost Price

Profit = Selling Price / Cost Price

The Correct Answer Is:

Profit is the gain made when the selling price is higher than the cost price. Therefore, you subtract the cost price from the selling price.

Real World Connection

In the Real World

When you use a UPI app like PhonePe or Google Pay to transfer money or pay bills, you're interacting with systems built on these financial calculations. Even a small shop owner calculating daily earnings and expenses for their 'kirana' store is solving problems based on money.

Key Vocabulary

Key Terms

PROFIT: Money gained after all expenses are subtracted from revenue | LOSS: Money lost when expenses are more than revenue | REVENUE: Total money earned from sales | COST PRICE: The price at which something is bought | SELLING PRICE: The price at which something is sold

What's Next

What to Learn Next

Next, you can explore concepts like Simple and Compound Interest, and understanding taxes. These build directly on your ability to handle money problems and are essential for personal finance and future careers.