Question

A manufacturer sold his goods to whole seller at 25% profit and whole seller sells it to the retailer at 20% profit and retailer sells it to customer at 28% profit. Find the cost price ofgoods to manufacturer if the customer purchases it for Rs 9600.
O 3000
0 4000
O 5000
O 6000​

Answer 1

Answer:

5000

Step-by-step explanation:

Please refer the attachment.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

A manufacturer sold his goods to whole seller at 25% profit and whole seller sells it to the retailer at 20% profit and retailer sells it to customer at 28% profit. Find the cost price of goods to manufacturer if the customer purchases it for Rs 9600.

• 3000

• 4000

• 5000

• 6000

EVALUATION

Let the cost price of goods to manufacturer = Rs P

Now the manufacturer sold his goods to whole seller at 25% profit

So whole purchase at

$\displaystyle \sf{ = Rs. \: \bigg(P \times \frac{125}{100} \bigg) }$

Next whole seller sells it to the retailer at 20% profit

So retailer purchase at

$\displaystyle \sf{ = Rs. \: \bigg(P \times \frac{125}{100} \times \frac{120}{100} \bigg) }$

Lastly retailer sells it to customer at 28% profit.

So customer purchase at

$\displaystyle \sf{ = Rs. \: \bigg(P \times \frac{125}{100} \times \frac{120}{100} \times \frac{128}{100} \bigg) }$

So by the given condition

$\displaystyle \sf{ \bigg(P \times \frac{125}{100} \times \frac{120}{100} \times \frac{128}{100} \bigg) = 9600 }$

$\displaystyle \sf{ \implies \: \bigg(P \times \frac{192}{100} \bigg) = 9600 }$

$\displaystyle \sf{ \implies \: P = 9600 \times \frac{100}{192} }$

$\displaystyle \sf{ \implies \: P = 5000 }$

∴ The cost price of goods to manufacturer

= Rs 5000

FINAL ANSWER

Hence the correct option is 5000

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