Question

If the two friends Robert and James have savings in the ratio $6:10$ but due to some urgency each has to spend Rs $40$, so their ratio reduces to $1:2$. Find the total amount of saving the two friends have initially.

• A. Rs $260$
• B. Rs $360$
• C. Rs $180$
• D. Rs $320$

Answer 1

The correct option is D Rs $320$

Ratio of Robert and James have savings in the ratio $6:10$

Robert's saving$=6x$

James's saving$=10x$

Total savings will be in a multiple of $16x=6x+10x=16x$

Similarly,

After each spending $Rs.40$,

$\frac{6x-40}{10x-40}=\frac{1}{2}$ (According to the given condition )

According to the given condition,

$12x-80=10x-40$

$2x=40$

$x=20$,

Hence,

Initially, the total amount of savings of two friends will be in multiple $=120+200=Rs.320$