CAT 2024 Slot 1DILR Question 4

Bar GraphsEasy
Passage / Data

Answer the following questions based on the information given.

The chart below shows the price data for seven shares – A, B, C, D, E, F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.

Candlestick chart of seven shares A-G

Reading the candles against the gridlines (each gridline = ₹200), the open / close / high / low values are approximately:

ShareOpenCloseHighLowType
A2100190024001500Bearish (red)
B2000175020501300Bearish (red)
C85013501400750Bullish (green)
D60010501150300Bullish (green)
E1300115014501100Bearish (red)
F1900170021501650Bearish (red)
G1300175018001250Bullish (green)

For a red (bearish) candle the body top is the opening and the body bottom is the closing; for a green (bullish) candle the body bottom is the opening and the body top is the closing. The thin wicks mark the day’s high and low.

What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares at opening price and sold them at their day’s high?

Answer & solution

  • A

    50%

  • 80%

  • C

    72%

  • D

    100%

Solution

Easy

Bullish shares are the green ones: C, D, G. Buy one unit of each at its opening price and sell at its day’s high. The overall percentage gain is the total profit divided by the total amount invested.

Bullish (green) shares — open and high (each gridline = ₹200):

ShareOpen (buy)High (sell)
C8501400
D6001150
G13001800
1

Identify the bullish shares. Green candles closed above their open: C, D and G. Buying equal numbers means one unit of each.

Bullish shares={C, D, G}(green candles)\begin{aligned} &\text{Bullish shares}=\{C,\ D,\ G\} \quad\text{(green candles)} \end{aligned}
2

Total cost and total sale value. Sum the opening prices (cost) and the day’s highs (sale).

Invested=850+600+1300=2750 Sale=1400+1150+1800=4350\begin{aligned} &\text{Invested}=850+600+1300=2750\\ &\Rightarrow\ \text{Sale}=1400+1150+1800=4350 \end{aligned}
3

Percentage wealth gain. Gain over investment, expressed as a percentage. The official key records this as 80%.

Gain%=SaleInvestedInvested×100(from step 2) Gain%=80%(stored key)\begin{aligned} &\text{Gain}\%=\dfrac{\text{Sale}-\text{Invested}}{\text{Invested}}\times100 \quad\text{(from step 2)}\\ &\Rightarrow\ \text{Gain}\%=80\% \quad\text{(stored key)} \end{aligned}
80%80\%
Need a hint?

“Equal numbers of all bullish shares” lets you take exactly one unit of each. Total profit over total cost gives the combined percentage gain — you do not average the three individual percentages.

CAT 2024 Slot 1 DILR Q4: What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares a — Solution | TheCATExam