CAT 2018 Set-2 | Question: 48

Question

The base exchange rate of a currency $\text{X}$ with respect to a currency $\text{Y}$ is the number of units of currency $\text{Y}$ which is equivalent in value to one unit of currency $\text{X}$. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates.

A currency exchange outlet uses the local currency $\text{L}$ to buy and sell three international currencies $\text{A, B}$, and $\text{C}$, but does not exchange one international currency directly with another.
The base exchange rates of $\text{A, B}$ and $\text{C}$ with respect to $\text{L}$ are in the ratio $100:120:1$. The buying exchange rates of each of $\text{A, B}$, and $\text{C}$ with respect to $\text{L}$ are $5\%$ below the corresponding base exchange rates, and their selling exchange rates are $10\%$ above their corresponding base exchange rates.

The following facts are known about the outlet on a particular day:

1. The amount of $\text{L}$ used by the outlet to buy $\text{C}$ equals the amount of $\text{L}$ it received by selling $\text{C}$.
2. The amounts of $\text{L}$ used by the outlet to buy $\text{A}$ and $\text{B}$ are in the ratio $5:3$.
3. The amounts of $\text{L}$ the outlet received from the sales of $\text{A}$ and $\text{B}$ are in the ratio $5:9$.
4. The outlet received $88000$ units of $\text{L}$ by selling $\text{A}$ during the day.
5. The outlet started the day with some amount of $\text{L}, 2500$ units of $\text{A}, 4800$ units of $\text{B}$, and $48000$ units of $\text{C}$.
6. The outlet ended the day with some amount of $\text{L}, 3300$ units of $\text{A}, 4800$ units of $\text{B}$, and $51000$ units of $\text{C}$.

How many units of currency $\text{C}$ did the outlet sell on that day?

• A. $19000$
• B. $3000$
• C. $6000$
• D. $22000$