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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. Find the rate of interest. - Mathematics and Statistics

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प्रश्न

The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. Find the rate of interest.

बेरीज
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उत्तर

Sum due = ₹ 11,660, Present worth = ₹ 11,000.

n = `9/12` years

True discount = Sum due – Present worth

= 11,660 - 11,000

= 660

True discount = `("P.W." xx "n" xx "r")/100`

`660 = (11,000 xx 9/12 xx "r")/100`

`660 xx 100 = 11,000 xx 9/12 xx "r"`

∴ r = `(660 xx 100 xx 12)/(11,000 xx 9)`

∴ r = 8%

∴ The rate of interest is 8% p.a.

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Commission and Brokerage Agent
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पाठ 1: Commission, Brokerage and Discount - Miscellaneous Exercise 1 [पृष्ठ १३]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Commission, Brokerage and Discount
Miscellaneous Exercise 1 | Q 4.05 | पृष्ठ १३

संबंधित प्रश्‍न

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?


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.


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?


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.


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.


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.


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.


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


A certain sum due 3 months hence is `21/20` of the present worth, what is the rate of interest?


Fill in the Blank.

A _______ is an agent who brings together the buyer and the seller.


State whether the following statement is True or False.

The buyer is legally allowed 6 days grace period.


A merchant gives 5% commission and 1.5% del credere to his agent. If the agent sells goods worth ₹ 30,600 how much does he get? How much does the merchant receive?


A shop is sold at 30% profit, the amount of brokerage at the rate of `3/4`% amounts to
₹ 73,125. Find cost of the shop


After deducting commission at `7 1/2`% on first
₹ 50,000 and 5% on balance of sales made by him, an agent remits ₹ 93,750 to his principal. Find the value of goods sold by him.


An agent is paid a commission of 4% on cash sales and 6% on credit sales made by him. If on the sale of ₹ 51,000 the agent claims a total commission of ₹ 2,700, find the sales made by him for cash and on credit.


The buyer is legally allowed ______ days grace period


When transactions like sale, purchase, auction etc. are done through some middlemen, such middlemen are called ______


State whether the following statement is True or False: 

A factor is an agent who is given the possession of goods and enters a contract for sale in his/her own name


Ananya gets 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


An agent sold a car and charged 3% commission on sale value. If the owner of the car received ₹ 48,500, find the sale value of the car. If the agent charged 2% from the buyer, find his total remuneration


Mr. Pavan is paid a fixed weekly salary plus commission based on percentage of sales made by him. If on the sale of ₹68,000 and ₹73,000 in two successive weeks, he received in all ₹9880 and ₹10, 180. Complete the following activity to find his weekly salary and the rate of commission paid to him.

Solution: Income of Mr. Pavan = Weekly salary + Commission on sales

Salary + Commission on ₹68,000 = ₹9880      ... (1)

Salary+ Commission on ₹73,000 = ₹10,180     ... (2)

Subtracting (1) from (2), we get

Commission on ₹5000 = ₹ `square`

∴ the rate of commission = `square/5000 xx 100` = 6%

Commission on ₹68,000 at 6% = ₹`68000 xx6/100 = square`

From (1) and (3), we get Salary = ₹(9880 - 4080) = `square`

Hence, fixed weekly salary is ₹5800 and the rate of commission is 6%.


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