Question

a man sold a toaster at a profit of 10%. had he purchased it for 5% less and sold it for ₹56 more,he could have gained 25%.for how much did he buy it
please someone solve this problem step by step method and write properly and I will mark the answer brainliest ​

Answer 1

Step-by-step explanation:

Let the cost price (CP) of the toaster be Rs. x

Case 1:-

Profit % = 10%

$\sf \dashrightarrow SP = \dfrac{100 + Profit \%}{100} \times CP$

$\sf \dashrightarrow SP = \dfrac{100 + 10}{100} \times x$

$\sf \dashrightarrow SP = \dfrac{110x}{100}$

$\sf \dashrightarrow SP = \dfrac{11x}{10}$

Case 2:-

If cost price is 5% less

New CP = x - 5% of x = $\sf \dfrac{95x}{100}$

He still gained 25%

$\sf \dashrightarrow New \: SP = \dfrac{100 + Profit \%}{100} \times New \: CP$

$\sf \dashrightarrow New \: SP = \dfrac{100 +25}{100} \times \dfrac{95x}{100}$

$\sf \dashrightarrow New \: SP = \dfrac{125}{100} \times \dfrac{95x}{100}$

$\sf \dashrightarrow New \: SP = \dfrac{19x}{16}$

Given,if he purchased it for 5% less and sold it for ₹56 more,he could have gained 25%.

So, the difference in SP is Rs.56

$\sf \dashrightarrow New \: SP - SP = 56$

$\sf \dashrightarrow \dfrac{19x}{16} - \dfrac{11x}{10} = 56$

$\sf \dashrightarrow \dfrac{5(19x)-8(11x)}{80} = 56$

$\sf \dashrightarrow \dfrac{95x - 88x}{80} = 56$

$\sf \dashrightarrow \dfrac{7x}{80} = 56$

$\sf \dashrightarrow x = 56\times \dfrac{80}{7}$

$\sf \dashrightarrow x = 640$

∴ Cost price of the toaster = Rs.640

Answer 2

Answer:

here is ur answer

plz look at above pic.

Hope this will helps u.....be happy.....