Question

What is the ratio of the total amount invested by Gautam in schemes O and Q together to the total amount invested by Rudra in the same schemes together?

• A. 31 : 44
• B. 31 : 42
• C. 27 : 44
• D. 35 : 48
• E. 29 : 38

Answer 1

The correct option is A 31 : 44

Required Ratio $=\frac{\frac{32000\times 40}{100}+\frac{42\times 64000}{100}}{\frac{32000\times 60}{100}+\frac{58\times 64000}{100}}$

$=\frac{320\times 40+42\times 640}{320\times 60+58\times 640}$

$=\frac{12800+26880}{19200+37120}=\frac{39680}{56320}$

$=\frac{3968}{5632}=\frac{31}{44}$ or $31:44$