Question

mahesh sells an article to David at a profit of 8%,David sells it to Mukesh at a loss of 5%.If Mukesh paid rs51700,how much did it cost to mahesh?

Answer 1

Heya !!

Here is ur answer

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Representing the Given data :-

[1] Mahesh --------( profit 8%)----------David

[2] David-------(loss 5%)---------Mukesh

Mukesh paid SP = 51700

FROM SECOND [2] CASE

loss = 5%

SP = 51700

$sp = (1 - \frac{loss \: percentage}{100} ) \times cp$

Substituting the values

$51700 = (1 - \frac{5}{100} \: ) \times cp \\ \\ 51700 = \frac{100 - 5}{100} \times cp \\ \\ 51700 = \frac{95}{100} \times cp \\ \\ cp = \frac{51700 \times 100}{95} \\ \\ cp = 54421$

In second case , the CP is SP of 1st case , it mean David buyed the article at 54421
and sold it at 51700

so it mean David buyed the article from mahesh at 54421

so , it is the SP of (1) case

FROM FIRST CASE

SP = 54421

Profit% = 8 %

sp = (1 + profit /100) × cp

$54421 = (1 + \frac{8}{100} ) \times cp \\ \\ 54421 = \frac{100 + 8}{100} \times cp \\ \\ 54421 = \frac{108}{100} \times cp \\ \\ cp = \frac{54421 \times 100}{108} \\ \\ cp = 50389$

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Mahesh buyed the article at 50388 and sold it to David at 54421 , Next David sold it to Mukesh at 51700

So, Mahesh buyed the article at 50388 rupees

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Glad if helped

(^^)

Answer 2

Step-by-step explanation:

please mark as Brainliest.. Answer above