Question

a manufacturer sells An article to a wholseller at a profit of 18%,the wholseller sells IT to a retailer at a profit of 20%,the retailer sells IT to a customer at a profit of 25%.If the customer pays Rs 30.09 for IT. find the cost of the manufacturer.

Answer 1

Using Compound Interest formula,

A = P × ( 1 + R/100) × ( 1 + R/100 )......

In the question ,
Let cost of manufacturer be P
and different rates of profit be R


30.09 = P × (1+18/100) × (1+20/100) × (1+25/100)

30.09 = P × 59/50 × 6/5 × 5/4

5 & 5 cancelled 6 and 50 reduced to 3 and 25

30.09 = P × 3×59 / 25×4

30.09 = P × 177/100

=> P = 30.09 × 100 / 177
=> P = 3009 / 177
=> P = 17


ANSWER =
COST OF MANUFACTURER = Rs. 17


HOPE IT HELPS :)'):):):):):):):):))::):):)

Answer 2

Hey there !

Look at this ;

Let cost to manufacture is X

So, @ 18 % Profit ,
Cost to wholesellers

$= x ( 1 + \frac{18}{100} )$

@ 20 % Profit,
Cost to retailer

$= x ( 1 + \frac{18}{100} ) ( 1 + \frac{20}{100} )$

@ 25 % Profit,
Customer Pays

$= x ( 1.18)(1.2)( 1 + \frac{25}{100} )$

So, x( 1.18 )( 1.2 )( 1.25 ) = 30.09

=> X = 30.09 / 1.18 × 1.2 × 1.25

= 17 Ans.