Question

prem sells an article to dinesh at a gain of 20% and dinesh sells it to sudhir at a gain of 10% and sudhir sells it to Prashant at a gain od 12.5 %. if prashant pays rs 14850 find the cost price​

Answer 1

14850×(100/112.5)×(100/110)×(100/120)

= 10000

Answer 2

The cost price is Rs. 10000.

Step-by-step explanation:

Since we have given that

Profit % while sold to Dinesh by Prem = 20%

Gain % while sold to Sudhir by Dinesh = 10%

Gain % while sold to Prashant by Sudhir = 12.5%

Prashant pays = Rs. 14850

According to question, it becomes,

$x\times \dfrac{100+20}{100}\times \dfrac{100+10}{100}\times \dfrac{100+12.5}{100}=14850\\\\x\times \dfrac{120}{100}\times \dfrac{110}{100}\times \dfrac{112.5}{100}=14850\\\\x=\dfrac{14850\times 100^3}{120\times 110\times 112.5}\\\\x=10000$

Hence, the cost price is Rs. 10000.

# learn more:

Prem sells an article to Dinesh at a gain of 20% and Dinesh sells it to Sudhir at a gain of 10% and Sudir sells it to Prashant at a gain of 12.5%. If Prashant Rs 14850, find the cost price of Prem

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