Question

Seeta sale a dining set to Neeta for rupees 6000 and gain 20% for how much should he sell it to increase her profit by another 5%​

Answer 1

Let the cost price of dining set = Rs x

So, 

C.P. = (S.P. *100 )/(100 + gain%)

x = (6000 * 100 )/ (100 + 20 )

x=(600000)/120

x=5000

Thus, cost price of dining set is Rs 5000

Now,

Let, To increase her profit 5%, Seeta  sells her dining set in Rs y.

So, S.P. of dining set= Rs y

And, profit = 20% + 5% = 25%

Thus,

S.P. = ((100+gain%)/100)*C.P.

y = ((100+25)/100)*5000

y=125*5000/100

y=6250

Hence, S.P. of dining set is Rs 6250

Answer 2

$\mathfrak{Answer:}$

= Rs. 6250.

$\mathfrak{Step-by-Step\:Explanation:}$

$\underline{\bold{In\:First\:Case;}}$

• Selling Price = SP = Rs. 6000.
• Gain % = 20%.

$\boxed{\bold{Cost\:Price=SP\left(\dfrac{100}{100+P\%}\right)}}\\\\\\\tt{=6000\times\dfrac{100}{120}}\\\\\\\tt{=50\times 100}\\\\\\\tt{=Rs.5000.}\\\\\\\\\underline{\mathfrak{In\:Second\:Case;}}\\\\\\\bold{Now\:we\:have:}\\\\\\\bullet\tt{CP=Rs.5000}\\\\\\\bullet\tt{Gain=25\%.}\\\\\\\boxed{\bold{Selling\:Price=CP\left(\dfrac{100+P\%}{100}\right)}}\\\\\\\tt{=5000\times\dfrac{125}{100}}\\\\\\\tt{=50\times 125}\\\\\\\tt{=6250.}$

$\boxed{\boxed{\bold{New\;selling\:price=Rs.6250.}}}$