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IBPS PO Mains 12 Oct 2025 Shift 1 Paper

Question Numbers: 128-133

Directions: Study the following pie chart carefully to answer the questions that follow.

The table below presents the profit earned by companies P, Q, R, and S in the years 2020 and 2021, along with the difference in their profits between these two years.

Company	Profit in 2020	Profit in 2021	Difference
P	3X	1600	400
Q	5X	1500	500
R	150% of X	350	250
S	900	550	87.5% of X

Question : 128 of 145

Marks: +1, -0

For company P in 2021, the cost price was y. The marked price was z% above the cost price. The selling price was 140% of the cost price, and the discount given was 50% of the markup. Find the value of z.

60
75
50
80
None of these

Validate

Solution:

Concept:

Use the relationship between cost price, marked price, selling price, markup, and discount.

Explanation:

Let the cost price be

y

Marked price is

z\%

above cost price, so

\mathrm{MP} = y\left(1 + \frac{z}{100}\right)

Selling price is

140\%

of cost price, so

\mathrm{SP} = 1.4y

Markup

= \mathrm{MP} - \mathrm{CP} = y\left(1 + \frac{z}{100}\right) - y = \frac{yz}{100}

Discount

= \mathrm{MP} - \mathrm{SP} = y\left(1 + \frac{z}{100}\right) - 1.4y = y\left(\frac{z}{100} - 0.4\right)

Given that discount is

50\%

of markup:

y\left(\frac{z}{100} - 0.4\right) = 0.5 \times \frac{yz}{100}

Cancel

y

from both sides:

\frac{z}{100} - 0.4 = \frac{0.5z}{100}

\frac{0.5z}{100} = 0.4

\frac{z}{100} = 0.8

z = 80

Answer:

z = 80

, i.e., Option D.

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