Question

RAM SELLS AN ARTICLE TO GIRISH A A
Gin 20%, GIRISH SELS I To SANJAY
A A GAIN OF 10% & SANJAY Seus
To ADITYA AT AGAIN OF 25/2 %.
IF ADITYA PAY 59.40. WHAT DID
11 Cost Ram ?
IT​

Answer 1

Given ,

Profit made by Ram = 20%

Profit made by Girish = 10%

Profit made by Sanjay = 12.5%

CP for Aditya = 59.40

To Find :-

CP for Ram

Solution :-

Let CP for Ram be x

Profit made by Ram = 20% of x

$=\: {\dfrac{20 \times x}{100}}$

$=\: {\dfrac{x}{5}}$

SP for Ram = $x\: +\: {\dfrac{x}{5}}$

$=\: {\dfrac{5x + x}{5}}$

$=\: {\dfrac{6x}{5}}$

CP for Girish $=\: {\dfrac{6x}{5}}$

Profit made by Girish = 10% of ${\dfrac{6x}{5}}$

$=\: {\dfrac{10 \times 6x}{5}}$

= 12x

SP for Girish = 12x + $=\: {\dfrac{6x}{5}}$

$=\: {\dfrac{60x + 6x}{5}}$

$=\: {\dfrac{66x}{5}}$

CP for Sanjay = $=\: {\dfrac{66x}{5}}$

Profit made by Sanjay = 12.5% of $=\: {\dfrac{66x}{5}}$

$=\: {\dfrac{125 \times 66x}{10 \times 5}}$

= 165x

SP for Sanjay = 165x + $=\: {\dfrac{66x}{5}}$

$=\: {\dfrac{825x + 66x}{5}}$

$=\: {\dfrac{891x}{5}}$

CP for Aditya = $=\: {\dfrac{891x}{5}}$

Also given that CP for Aditya is 59.40

$=>\: 59.40\: =\: {\dfrac{891x}{5}}$

$=>\: x\: =\: {\dfrac{59.40 \times 5}{891}}$

=> x =