• S
    SwaseekhGATE Preparation
General
  • Dashboard
  • Syllabus
  • Questions
  • Aptitude
  • Mock Tests
  • TCS NQT 2026
Account
  • Pricing
  • Contact
  1. GATE CS
  2. PYQs
  3. General Aptitude

A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12% profit. If the profit percentages are interchanged with these investments he would have got Rs. 120 less. Find the ratio between his investments in the two schemes. A. 9 : 16 B. 11 : 14 C. 37 : 63 D. 47 : 53

GATE 2019 · General Aptitude · Profit Loss · medium

Answer: Ratio of investments = 47 : 53 (option D)

  1. Write original total profit: Profit_original = 0.10p + 0.12(100000 - p) = 12000 - 0.02p
  2. Write swapped total profit: Profit_swapped = 0.12p + 10000 - 0.10p = 10000 + 0.02p
  3. Equate profit difference to Rs. 120 and solve: (12000 - 0.02p) - (10000 + 0.02p) = 120 => 2000 - 0.04p = 120 => 0.04p = 1880 => p = 47000
  4. Compute the ratio: 47000 : 53000 = 47 : 53