Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Indian Currency Units: The official currency of India is the Rupee (). Smaller amounts are measured in Paise (). The conversion rule is . Visually, imagine one coin being split into two 50-paise coins or four 25-paise coins to understand the value ratio.
Unitary Method for Total Cost: To find the total cost of several items, multiply the price of one item (the rate) by the total number of items or the weight. Visually, this is like looking at a 'Rate List' board at a junk shop where 1 kg of newspaper costs , so 2 kg costs .
Cost Price (CP) and Selling Price (SP): The 'Cost Price' is the money a seller pays to buy junk, and the 'Selling Price' is the money they receive when they sell it to a bigger shop. In a notebook ledger, CP is recorded as an expense (money going out) and SP is recorded as income (money coming in).
Profit and Loss: If the Selling Price is higher than the Cost Price (), the seller makes a Profit. If the Cost Price is higher (), the seller suffers a Loss. Visually, imagine a balance scale: if the 'Money Received' side is heavier than the 'Money Spent' side, you have earned a profit.
Loan and Interest: A loan is money borrowed from a bank or a person like a moneylender. Interest is the 'extra' money paid back along with the borrowed amount. For example, if you borrow and pay back after a month, the is the interest.
Mental Math Multiplication: To calculate costs quickly, use multiplication shortcuts for tens and hundreds. For instance, to calculate , first multiply and then add a zero at the end to get . This helps in calculating junk prices without using paper and pencil.
Splitting Numbers for Multiplication: Large numbers can be broken down to make multiplication easier. For example, can be calculated visually as , which is .
📐Formulae
💡Examples
Problem 1:
Kiran buys 1 kg of iron for and sells it for . How much money will she earn if she sells 32 kg of iron?
Solution:
- Find the profit earned on 1 kg of iron: . \n2. Find the total profit for 32 kg: .
Explanation:
We first calculate the earnings (profit) on a single unit and then multiply that profit by the total quantity sold.
Problem 2:
Hariya took a loan of from a bank. He pays back every month for 6 months. How much total money did he pay back to the bank, and how much extra did he pay?
Solution:
- Calculate the total amount paid back: . \n2. Calculate the extra money (interest): .
Explanation:
To find the total repayment, we multiply the monthly installment by the time period. The difference between this total and the original loan is the interest.