Raju 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?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 05 Jul, 2024 Shift 1)

Answer 1

Given:

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).

Download Solution PDF