Question

by selling a bedsheet for ₹640,a shopkeeper earns a profit of28%.how much did it cost the shopkeeper​

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

The Cost Price of the Bedsheet is Rs.500.

$\textbf{\underline{\underline{Explanation :- }}}$

$\textsf{\underline{\underline{Given :}}}$

The Selling Price of Bedsheet = Rs.640

Profit % = 28%

$\textsf{\underline{\underline{To find : }}}$

The Cost Price of Bedsheet

$\textsf{\underline{\underline{Solution :}}}$

Here,

SP = Rs.640

Profit % = 28%

CP = ?

★ As we know :

${\boxed{\sf\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\tt{\implies} \: CP = \dfrac{100}{100 + 28} \times 640$

$\tt{\implies} \: CP = \dfrac{100}{128} \times 640$

$\tt{\implies} \: CP = \dfrac{64000}{128}$

$\tt{\implies}\red{ \: CP = 500}$

$\therefore$ The Cost Price of the Bedsheet is Rs.500

$\textbf{\underline{\underline{Verification :-}}}$

$\tt{\implies} \: 500 = \dfrac{100}{100 + 28} \times 640$

$\tt{\implies} \: 500 = \dfrac{100}{128} \times 640$

$\tt{\implies} \: 500 = \dfrac{64000}{128}$

$\tt{\implies}\red{\: 500 = 500}$

$\therefore$ The Cost Price of the Bedsheet is Rs.500

Answer 2

Answer:

Given:

By selling a bed sheet for rupees 640 A shopkeeper earns a profit of 28%

Find:

how much did it cost the shopkeeper.

Calculation:

$\sf\frac{128}{100} \times x = 640$

Let x be the cost price of bed sheet.

$\sf x = 640 \times \frac{100}{128}$

$\sf x = 500 Rs$

Therefore, 500 is the cost of shopkeeper.