Question:

## Answer:

Create an account

Welcome! Register for an account

A password will be e-mailed to you.

Password recovery

Recover your password

A password will be e-mailed to you.

Friday, February 3, 2023

Question:

A woman starts shopping with Rs. X and Y paise, spends Rs. 3.50 and is left with Rs. 2Y and 2X paise. The amount she started with is

1. Rs. 48.24

2. Rs. 28.64

3. Rs. 32.14

4. Rs. 23.42

If $Y>50$ then according to the information given,

$Y-50=2X$ and $X-3=2Y$

$therefore 2X-Y=-50$ ………… (1)

and $X-2Y=3$ ……………… (2)

equation (1) – 2$times$equation (2) gives,

$3Y=-56$ which is absurd as Y is positive.

Now, if $Y<50$ then according to the information given,

$100+Y-50=2X$ and $X-1-3=2Y$

$therefore 2X-Y=50$ …………. (3)

and $X-2Y=4$ ………………… (4)

equation (3) – 2$times$equation (4) gives,

$3Y=42$

$implies Y=14$

$therefore$ from (4),

$X=32$

$therefore$ The amount she started with is Rs. 32.14.

RELATED ARTICLES

Insert math as

Additional settings

Formula color

Type math using LaTeX

Preview

\({}\)

Nothing to preview

Insert

Nice

Your blog has piqued a lot of real interest. I can see why since you have done such a good job of making it interesting. I appreciate your efforts very much. 레플리카