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HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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y dx – x dy + log x dx = 0

[8] Differential Equation and Applications
Chapter: [8] Differential Equation and Applications
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An agent charges 12% commission on the sales. What does he earn if the total sale amounts to ₹ 48,000? What does the seller get?

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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A salesman receives 3% commission on the sales up to ₹ 50,000 and 4% commission on the sales over ₹ 50,000. Find his total income on the sale of ₹ 2,00,000.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Ms. Saraswati was paid ₹ 88,000 as a commission on the sale of computers at the rate of 12.5%. If the price of each computer was ₹ 32,000, how many computers did she sell?

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Anita is allowed 6.5% commission on the total sales made by her, plus a bonus of `1/2`% on the sale over ₹ 20,000. If her total commission amounts to ₹ 3,400, find the sales made by her.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Priya gets a salary of ₹ 15,000 per month and commission at 8% on the sales over ₹ 50,000. If she gets ₹ 17,400 in a certain month, find the sales made by her in that month.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Find the area of circle x2 + y2 = 25.

[7] Applications of Definite Integration
Chapter: [7] Applications of Definite Integration
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The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. Find the percentage reduction in the value of the business.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Mr. Pavan is paid a fixed weekly salary plus commission based on a percentage of sales made by him. If on the sale of ₹ 68,000 and ₹ 73,000 in two successive weeks, he received in all ₹ 9,880 and ₹ 10,180, find his weekly salary and the rate of commission paid to him.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Deepak’s salary was increased from ₹ 4,000 to ₹ 5,000. The sales being the same, due to reduction in the rate of commission from 3% to 2%, his income remained unchanged. Find his sales.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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An agent is paid a commission of 7% on cash sales and 5% on credit sales made by him. If on the sale ₹ 1,02,000 the agent claims a total commission of ₹ 6,420, find his cash sales and credit sales.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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Three cars were sold through an agent for
₹ 2,40,000, ₹ 2,22,000 and ₹ 2,25,000 respectively. The rates of commission were 17.5% on the first, 12.5% on the second. If the agent overall received 14% commission on the total sales, find the rate of commission paid on the third car.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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A book seller ₹ 1,530 as 15% commission on list price. Find list price of the books.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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A retailer sold a suit for ₹ 8,832 after allowing 8% discount on marked price and further 4% cash discount. If he made 38% profit, find the cost price and the marked price of the suit.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
Concept: undefined >> undefined

An agent charges 10% commission plus 2% delcreder. If he sells goods worth ₹ 37,200, find his total earnings.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
Concept: undefined >> undefined

Solve the following :

Find the area between the parabolas y2 = 7x and x2 = 7y.

[7] Applications of Definite Integration
Chapter: [7] Applications of Definite Integration
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A certain sum due 3 months hence is `21/20` of the present worth, what is the rate of interest?

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
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An agent who gives a guarantee to his principal that the party will pay the sale price of goods is called ______.

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
Concept: undefined >> undefined

Choose the correct alternative.

An agent who is given the possession of goods to be sold is known as

[9] Commission, Brokerage and Discount
Chapter: [9] Commission, Brokerage and Discount
Concept: undefined >> undefined

Find the area of the region bounded by the parabola y2 = 25x and the line x = 5.

[7] Applications of Definite Integration
Chapter: [7] Applications of Definite Integration
Concept: undefined >> undefined
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