What's the fastest animal in the world?
Answer (2)
The rate of commission is calculated as: R a t e = T o t a l se ll in g p r i ce C o mmi ss i o n am o u n t × 100% .
The income in Baisakh is calculated as: 16000 + 0.02 × ( 750000 − 500000 ) = 21000 .
To make a monthly income of Rs 30000, the required sales amount is calculated by solving the equation: 30000 = 16000 + 0.02 × ( x − 500000 ) .
The required sales amount is: 1200000 .
Explanation
Understanding the Problem The problem provides information about a marketing representative's salary and commission structure. We need to calculate the commission rate formula, the income for a specific month, and the required sales to achieve a target income.
Commission Rate Formula a. The formula for calculating the rate of commission is: R a t e o f C o mmi ss i o n = T o t a l se ll in g p r i ce C o mmi ss i o n am o u n t × 100%
Income Calculation for Baisakh b. In Baisakh, the sales were Rs 750000. The commission is calculated on sales exceeding Rs 500000. The excess amount is: 750000 − 500000 = 250000 The commission is 2% of this excess amount: C o mmi ss i o n = 0.02 × 250000 = 5000 The total income in Baisakh is the sum of the salary and the commission: T o t a l I n co m e = 16000 + 5000 = 21000 So, the income in Baisakh is Rs 21000.
Calculating Required Sales c. Let x be the amount of book sales needed to make a total income of Rs 30000. The commission is calculated on the amount exceeding Rs 500000, i.e., x − 500000 . The commission amount is 0.02 × ( x − 500000 ) .
The total monthly income is the sum of the salary and the commission: T o t a l I n co m e = 16000 + 0.02 × ( x − 500000 ) We set the total income equal to 30000: 30000 = 16000 + 0.02 × ( x − 500000 ) Now, solve for x :
30000 − 16000 = 0.02 × ( x − 500000 ) 14000 = 0.02 × ( x − 500000 ) 0.02 14000 = x − 500000 700000 = x − 500000 x = 700000 + 500000 = 1200000 So, the required amount of book sales is Rs 1200000 (12 lakhs).
Examples
Understanding commission structures is crucial in many real-world scenarios, such as sales jobs, real estate, and even in the financial sector. For instance, a real estate agent might earn a commission on the sale price of a property. If an agent sells a house for $200,000 and earns a 3% commission, their commission would be $6,000. Similarly, financial advisors often receive commissions on investment products they sell to clients. Knowing how to calculate commissions helps individuals understand their earnings and make informed financial decisions.
The peregrine falcon is the fastest animal in the world, reaching speeds over 240 miles per hour during its hunting dives. It has adapted to various habitats, including urban areas, where it preys primarily on birds. Conservation efforts have helped increase its population after a significant decline due to environmental issues.
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