Home
Class 7
MATHS
Rohan spends Rs x daily and saves Rs y p...

Rohan spends Rs x daily and saves Rs y per week. What is his income after 3 weeks?

A

Rs (21x + 3y)

B

Rs (23x + 9y)

C

Rs (21x + 9y)

D

Rs (7x +3y)

Text Solution

AI Generated Solution

The correct Answer is:
To find Rohan's income after 3 weeks, we can break down the problem step by step. ### Step-by-Step Solution: 1. **Identify Daily Spending**: Rohan spends Rs. x daily. **Hint**: Remember that daily spending needs to be multiplied by the number of days in a week to find weekly spending. 2. **Calculate Weekly Spending**: Since there are 7 days in a week, Rohan's weekly spending will be: \[ \text{Weekly Spending} = 7 \times x = 7x \] **Hint**: Think about how many days are in a week when calculating weekly expenses. 3. **Identify Weekly Savings**: Rohan saves Rs. y per week. **Hint**: Savings are given directly per week, so you can use this value for further calculations. 4. **Calculate Savings After 3 Weeks**: To find out how much Rohan saves after 3 weeks, we multiply his weekly savings by 3: \[ \text{Savings After 3 Weeks} = 3 \times y = 3y \] **Hint**: Multiply the weekly savings by the number of weeks to find total savings over that period. 5. **Calculate Total Spending After 3 Weeks**: To find out how much Rohan spends after 3 weeks, we multiply his weekly spending by 3: \[ \text{Spending After 3 Weeks} = 3 \times (7x) = 21x \] **Hint**: Just like savings, spending can also be calculated by multiplying weekly spending by the number of weeks. 6. **Calculate Total Income**: Rohan's total income after 3 weeks can be calculated by adding his total spending and total savings: \[ \text{Total Income} = \text{Total Spending} + \text{Total Savings} = 21x + 3y \] **Hint**: Total income is the sum of what he has spent and what he has saved. ### Final Answer: Rohan's income after 3 weeks is: \[ \text{Income} = 21x + 3y \]
Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC EXPRESSIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MATCHING)|2 Videos
  • ALGEBRAIC EXPRESSIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (ASSERTION AND REASON)|5 Videos
  • ALGEBRAIC EXPRESSIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)|35 Videos
  • COMPARING QUANTITIES

    MTG IIT JEE FOUNDATION|Exercise Olympaid/HOTS Corner|20 Videos

Similar Questions

Explore conceptually related problems

Binny spends Rs.a daily and saved Rs.b per week.What is her income for two weeks?

Riya spends Rs. p daily and saves Rs. r per week. In What is her income (in Rs.) for two weeks?

Aarushi spends Rsdot x daily and saves Rsdot y per week.How much money she saves in xy^(2) weeks?

Rewa spends 75% of her income and saves Rs. 2000 per month. What is her monthly income ?

Lalit earns Rs. x per day and spends Rs. y per day. How much does he save in 30 days?

Sohan earns Rs 7500 and spends Rs 5500 per month.The ratio of his saving to the expenditureis:

The ratio of weekly incomes of A and B is 9:7 and the ratio of their expenditures is 4:3. If each saves Rs.200 per week, then the sum of their weekly incomes is

A man spends 70% of his income and saves the rest. If his income decreases by 30% and spending decreases by 20%, then what is the percentage change in his savings?

The monthly incomes of A and B are in the ratio 3 : 4 and the ratio of their monthly expenditures is 2 : 3. If each saves Rs. 4000 per month, then what is the income of B?