Q1:

BMSAT Kozhikode 2026

Percentages

Medium

Suppose the tax rules allow a person to either pay 20% of their total annual income as income tax, or pay 25% after claiming a deduction of Rs 2 lakh from the total annual income. What is the lowest annual income above which the former regime is attractive to the taxpayer?

Answer options
Option 2
Correct Answer
Explanation for BMSAT Kozhikode 2026 QA question 1

Q2:

BMSAT Kozhikode 2026

Percentages

Medium

A firm projects its revenue to rise 20% in each of the next 3 years. At the same time, it projects costs to rise 10% each year. If profit this past year was Rs 10Cr on revenue of Rs 100 Cr, what will be the accumulated profit at the end of the 3rd year?

Answer options
Option 1
Correct Answer
Explanation for BMSAT Kozhikode 2026 QA question 2

Q3:

BMSAT Kozhikode 2026

Percentages

Medium

A country has 3 major economic sectors: agriculture, manufacturing and services - with their share of the country's Gross Domestic Product (GDP) being 40, 20 and 40 percent, respectively. Of these, services is growing at 10% per annum, whilst agriculture is growing at 4%. The GDP in aggregate is estimated to be growing at 6% yearly: what is the annual rate of growth of manufacturing in percent?

Answer options
Option 1
Correct Answer
Explanation for BMSAT Kozhikode 2026 QA question 3

Q4:

BMSAT Kozhikode 2026

Percentages

Medium

A foreign country reduces its import duty on an Indian exporter's product from 30% to 10%. The exporter estimates that the reduction in import duties - which he will pass on fully by reducing prices -- will increase the volume of sales by 50%. The revenue obtained in that market turned out to be Rs 165Cr. What would the revenue have been if the exporter continued selling at the old price?

Answer options
Option 1
Correct Answer
Explanation for BMSAT Kozhikode 2026 QA question 4

Q5:

BMSAT Kozhikode 2025

Percentages

Medium

A factory kept increasing its output by the same percentage every year. Find the percentage if it is known that the output has doubled in the last two years. (assume 2=1.4142\sqrt{2} = 1.4142)

Answer options
Option 1
Correct Answer
Explanation for BMSAT Kozhikode 2025 QA question 5

Q6:

BMSAT Kozhikode 2025

Percentages

Medium

An exporter estimates with certainty that a 26%26\% higher price for his product will decrease the volume of sales in a foreign market by 30%30\%. After having to increase the price by 26%26\%, the revenue obtained from sales in that market turned out to be INR 44.1 Cr\text{INR } 44.1 \text{ Cr}. What would the revenue have been if the exporter had been allowed to sell at the old price?

Answer options
Option 2
Correct Answer
Explanation for BMSAT Kozhikode 2025 QA question 6

Q7:

BMSAT Kozhikode 2025

Percentages

Easy

Shalini got 30%30\% of the maximum marks in an exam. She failed by 5050 marks. Malini scored 40%40\% of the maximum, and this score was 2020 marks more than the pass mark. What is the pass mark?

Answer options
Option 2
Correct Answer
Explanation for BMSAT Kozhikode 2025 QA question 7

Q8:

BMSAT Kozhikode 2025

Percentages

Medium

One country's GDP is currently $600 billion and is growing at 10% per annum. Another country's GDP is $700 billion, while it is growing at 5% per annum. How many years will it take for the GDP of the 1st country to overtake the 2nd?

Answer options
Option 2
Correct Answer
Explanation for BMSAT Kozhikode 2025 QA question 8

Q9:

BMSAT Kozhikode 2025

Percentages

Medium

8%8\% of boys in a class made it past the 90th percentile, while 12%12\% of the girls in the same class made it past that mark. Suppose there are 120120 students in this class: what is the number of boys?

Answer options