List of top Business Mathematics Questions

A box contains 5 red and 7 white balls. Two balls are drawn at random. What is the probability that both are red?
Expand \( (2x-3y)^5 \) using the Binomial Theorem.
Solve the system of equations using Cramer's Rule: \[ 2x+3y=8, \qquad x-y=-1. \]
A merchant marks his goods 20% above the cost price and allows a discount of 10%. Find his profit percentage.
Find the value of \(n\) if \[ {}^{n}P_{4} = 12 \times {}^{n}P_{2}. \]
A and B start a business with capitals of ₹50,000 and ₹40,000 respectively. After 6 months, C joins them with ₹80,000. Find the share of each in a profit of ₹25,000 at the end of the year.
An agent is paid a 5% commission on all sales and an additional 2% del-credere commission on credit sales. If he sells goods worth ₹50,000 (of which ₹20,000 are credit sales), calculate his total earning.