Question
Download Solution PDFRaju has Rs. 11,000 and starts saving Rs. 5,000 each week towards buying a new laptop. At the same time, Ramesh has Rs. 60,000 and begins spending Rs. 2,000 per week on supplies for his art class. Will there be a week when they have the same amount of money?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Raju's initial amount = ₹11,000
Raju's weekly saving = ₹5,000
Ramesh's initial amount = ₹60,000
Ramesh's weekly spending = ₹2,000
Formula used:
Raju's amount after n weeks = Initial amount + (weekly saving × n)
Ramesh's amount after n weeks = Initial amount - (weekly spending × n)
Calculations:
Raju's amount after n weeks = 11000 + 5000n
Ramesh's amount after n weeks = 60000 - 2000n
We need to find n when both amounts are equal:
11000 + 5000n = 60000 - 2000n
⇒ 11000 + 5000n = 60000 - 2000n
⇒ 5000n + 2000n = 60000 - 11000
⇒ 7000n = 49000
⇒ n = 49000 / 7000
⇒ n = 7
∴ The correct answer is option (1).
Last updated on May 28, 2025
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