Home
Class 14
MATHS
A father increases pocket money of his s...

A father increases pocket money of his son by 20%. If son gets 300 after increase, find his pocket money before increase.

A

Rs 250

B

Rs 240

C

Rs 200

D

Rs 230

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will find the son's pocket money before the increase. ### Step-by-Step Solution: 1. **Understand the Problem**: The father increases the son's pocket money by 20%. After the increase, the son receives 300. We need to find out how much he was receiving before the increase. 2. **Define the Original Pocket Money**: Let the original pocket money (before the increase) be represented as \( x \). 3. **Calculate the Increased Amount**: Since the pocket money is increased by 20%, the new amount can be expressed as: \[ \text{New Pocket Money} = x + 0.2x = 1.2x \] 4. **Set Up the Equation**: According to the problem, after the increase, the son receives 300. Therefore, we can set up the equation: \[ 1.2x = 300 \] 5. **Solve for \( x \)**: To find \( x \), divide both sides of the equation by 1.2: \[ x = \frac{300}{1.2} \] 6. **Calculate \( x \)**: Performing the division: \[ x = 250 \] 7. **Conclusion**: The pocket money before the increase was \( 250 \). ### Final Answer: The son's pocket money before the increase was **250**.

To solve the problem step by step, we will find the son's pocket money before the increase. ### Step-by-Step Solution: 1. **Understand the Problem**: The father increases the son's pocket money by 20%. After the increase, the son receives 300. We need to find out how much he was receiving before the increase. 2. **Define the Original Pocket Money**: ...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-VII|6 Videos
  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-VIII|20 Videos
  • ARITHMETICAL PROBLEMS

    KIRAN PUBLICATION|Exercise TYPE-V|16 Videos
  • ALLIGATION OR MIXTURES

    KIRAN PUBLICATION|Exercise TEST YOURSELF|27 Videos
  • AVERAGE

    KIRAN PUBLICATION|Exercise TYPE-X|48 Videos

Similar Questions

Explore conceptually related problems

John's pocket money is Rs. 2 more than half the pocket money of his sister. If John's sistter gets Rs. x, then John's pocket money in Rs. Is

Chintu's pocket money is Rs. 120. He saves one third of his expenditure. Find his savings.

Your mother says "To calculate your pocket money, multiply your age by itself and then double it". If your age is x years, write an algebraic expression representing your pocket money. How much do you get as pocket money if your age is 11 years.

In a family a person saves 30% of his income . If his salary is increased by 20% and saving are decreased by 20% then find the percentage increase in the expenditure.

A man spends 75% of his income. His income increases by 20% and his expenditure also increase by 10% . Find the percentage increase in his savings.

A man spends 75% of his income .His income increases by 20% and his expenditure also increases by 10% .Find the percentage increase in his savings .