Question

17. Vas sells an article to Radha at a profit of 20%.
Radha sells it to Mans at a profit of 4%. What
does it cost Vas if Mans has paid 624?​

Answer 1

Answer:

The cost of article for Vas is Rs 778.75

Step-by-step explanation:

Given as :

Vas sells an article to Radha at a profit of 20%.

Radha sells it to Mans at a profit of 4%.

The cost price of article for Mans = c.p = Rs 624

Profit % = $\dfrac{s.p - c.p}{c.p}$

Or, 4% = $\dfrac{s.p}{c.p}$ - 1

Or, $\dfrac{s.p}{c.p}$ = 1 + 4%

Or, $\dfrac{s.p}{c.p}$ = 1 + 0.04

Or, $\dfrac{s.p}{c.p}$ = 1.04

∴  s.p = 1.04 × c.p

Or, s.p = 1.04 × Rs 624

Or, selling price = Rs 648.96

Now, Selling price for Radha = cost price for Vas

So, cost price for vas = Rs 648.96

Let selling price for vas = s.p

So, Profit % = $\dfrac{s.p - c.p}{c.p}$

Or, 20% = $\dfrac{s.p}{c.p}$ - 1

Or, $\dfrac{s.p}{c.p}$ = 1 + 20%

Or, $\dfrac{s.p}{c.p}$ = 1 + 0.2

Or, s.p = 1.2 × c.p

Or, s.p = 1.2 × Rs 648.96

∴   s.p = Rs 778.75

Hence, The cost of article for Vas is Rs 778.75  Answer