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'A' and 'B' have pocket money in the ratio of 3 : 4. After the day's work, 'A' earned ₹ 600 while 'B' earned ₹ 500. However, 'A' spent ₹ 150 and 'B' spent ₹ 100 during the day. If they have equal amount of money at the end of the day, then the pocket money 'A' had in the morning is:
Explanation
Let the initial pocket money of 'A' and 'B' be 3x and 4x respectively.
At the end of the day, their total amounts are calculated as follows:
- Amount with A = (Initial money) + (Earnings) - (Spending) = 3x + 600 - 150 = 3x + 450
- Amount with B = (Initial money) + (Earnings) - (Spending) = 4x + 500 - 100 = 4x + 400
According to the problem, they have equal amounts at the end of the day:
3x + 450 = 4x + 400
4x - 3x = 450 - 400
x = 50
The pocket money 'A' had in the morning is 3x = 3 × 50 = ₹ 150. Similarly, 'B' had 4x = ₹ 200.
SIMILAR QUESTIONS
A mother gives pocket money to her three children A, B and C in the ratio 3 : 4 : 5 respectively. Then the father gives ₹ 40 to each child. As a result, the pocket money of A, B and C now has the ratio 5 : 6:7 respectively. How much does C get from her mother ?
Two teams named A and B do business together and their shares are in the ratio of 2 : 1. Team A has got three members A1, A2 and A3 whose shares are in the ratio of 1 : 2 : 3. Team B has got four members B1, B2, B3 and B4 whose shares are in the ratio of 1 : 2 : 3 : 4. If the actual share of B3 is ₹ 2,25,000, then what is the actual share of A2 ?
The ratio of monthly incomes of A and B is 7 : 10. The ratio of their expenditures is 2 : 3. If each of A and B saves 1,000 per month, then what will be the monthly income of B ?
If a shopkeeper sells an item 'A' at 20% profit and item 'B' at 25% profit, then the total profit made is ₹ 120. If he sells item 'A' at 25% profit and item 'B' at 20% profit, then the total profit made is ₹ 105. What is the sum of the cost price of items 'A' and 'B' ?