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IBPS PO Mains 30 Nov 2024 Shift 2 Paper

Question Numbers: 147-151

Directions: Read the following information carefully and answer the questions based on it.

The line graph given below shows the profit percentage and discount percentage of five different articles. The table given shows the cost price of each items.

Articles	Cost price
A	1050
B	1600
C	1720
D	1800
E	900

Question : 149 of 155

Marks: +1, -0

If the cost price of article

X

\surd[

(If article

B

is marked

20\%

above its Cost price)

+ 105

] and the selling price of article

X

is Rs.

(9^{2} - 4^{2})

. Then find the profit percentage earned by selling article

X

37.5%
48.21%
66.66%
44.44%
None of these

Validate

Solution:

Concept:

Calculate the cost price of article X from the given square root expression, then find profit percentage using the selling price formula.

Explanation:

Article B is marked

20\%

above its cost price.

Cost price of B

= \text{Rs. }1600

So, marked price of B

= 1600 \times 1.20 = \text{Rs. }1920

Now, cost price of X is given by:

CP_X = \sqrt{(1920 + 105)} = \sqrt{2025} = \text{Rs. }45

Selling price of X is:

SP_X = (9^2 - 4^2) = 81 - 16 = \text{Rs.}65

Profit

\mathrm{SP}_X - \mathrm{CP}_X = 65 - 45 = \text{Rs. }20

Profit percentage

= \frac{Profit}{CP} \times 100 = \frac{20}{45} \times 100 = 44.44\%

Answer:

The profit percentage is

44.44\%

, which matches option D.

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