Question

Tom and Jasmine have Rs. $41$ altogether. $\frac{1}{4}$ of Tom's money is Rs. $2$ more than $\frac{1}{7}$ of Jasmine's money. How much does Tom have?

• A. Rs. $27.5$
• B. Rs. $20$
• C. Rs. $30.50$
• D. Rs. $29$

Answer 1

Answer: (B)

Rs. $20$

Let the money at Tom be Rs $x$ and the money at Jasmine be $y$

They both have $41$ Rs altogether.

$\therefore$ $x+y=41$

According to the second condition $\frac{x}{4}-\frac{y}{7}=2$

=$7x-4y=56$.......(2)

Mulltiplying equation 1 by $4$

$4x+4y=164$.....(3)

Adding equation (2) and (3) we get,

$11x=220$

$x=20$

Therefore Tom has Rs $20$