Math, asked by ashwinichavan647, 10 months ago

a merchant instructs his agent to buy 1000 pens and sell them at 15% above the purchase price. The agent charges 1% commission on purchase and 3% commission on sales and earns 534 as commission. Find the price at which agent buys pen.​

Answers

Answered by haridasan85
7

Answer:

No. of Pens= x

CP of 1000 Pens=1000 x

Sp. Pens=1000x115/100

= 1150x

Com.on Purchase = 1000Xxl/100

= 10x

com.on sales = 1150x3/100

=34.5x

Total com.=1 0x+34.5x=44.5x=534

44.5x=534

x = 534 / 44.5=12

Agent buys pen@ Rs 12. Ans

cost. Price of 1,000 pens=,1000x12

= Rs 12000

Answered by VineetaGara
2

Given,

Number of pens purchased by a merchant through his agent = 1000

He sells them at 15% above the purchase price.

Agent's commission on purchase = 1%

Agent's commission on sales = 3%

Total amount earned by the agent as the commission = Rs. 534

To find,

The price at which the agent buys the pen.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the cost price of each one is Rs. x.

Now, according to the question;

The total cost price of all the pens purchased = Rs. 1000x

And, the total selling price of all the pen

= 15% above the purchase price

= Rs. {1000x + (15/100×1000x)}

= Rs. 1150x

Now, according to the question;

The total commission charged by the agent on the purchase

= 1% of the cost price of all the pens purchased

= Rs. (1/100×1000x)

= Rs. 10x

The total commission charged by the agent on the sales

= 3% of the selling price of all the pens purchased

= Rs. (3/100×1150x)

= Rs. 34.5x

Now, according to the question;

(Total commission charged by the agent on the purchase) + (Total commission charged by the agent on the sales) = Rs 534

=> Rs. 10x + Rs. 34.5x = Rs 534

=> 44.5x = 534

=> x = 534/44.5 = 12

=> The cost price of each pen = Rs. 12

Hence, the agent buys the pen at Rs. 12 per each.

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