Question

a retailer got a loss of 15% by selling a memory card for 1020rs.at what price should he sell the memory card to get 5% profit?​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Selling Price should be Rs. 1260 to get the profit of 5%.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

The retailer got a Loss of 15% by selling for Rs. 1020

To Find :

Selling Price of the card to get 5% Profit.

Solution :

$\textbf{\underline{\underline{Case I}}}$

Here,

• Selling Price (SP) = Rs. 1020

• Loss % = 15%

• Cost Price (CP) = ?

★ We Know that :

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

$\sf{\implies} \: CP = \dfrac{100}{100 - 15} \times 1020$

$\sf{\implies} \: CP = \dfrac{100}{85} \times 1020$

$\sf{\implies} \: CP = \dfrac{102000}{85}$

$\sf{\implies} \: CP = 1200$

The Cost Price of the Memory Card is Rs. 1200

$\rule{300}{1}$

$\textbf{\underline{\underline{Case II}}}$

Here,

• Cost Price (CP) = 1200

• Profit% = 5%

• Selling Price (SP) = ?

★ We Know that :

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

$\sf{\implies} \: SP = \dfrac{100 + 5}{100} \times 1200$

$\sf{\implies} \: SP = \dfrac{105}{1\cancel{00}} \times 12\cancel{00}$

$\sf{\implies} \: SP = 105 \times 12$

$\sf{\implies} \: SP = 1260$

$\therefore$ The Selling Price should be Rs. 1260 to get the profit of 5%.

$\rule{300}{1}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

As We got the Selling Price, we can now verify it by solving for Profit %

${\boxed{\sf\:{Profit\% = \frac{SP - CP}{CP} \times 100}}}$

$\sf{\implies} \: Profit\% = \dfrac{1260 - 1200}{1200} \times 100$

$\sf{\implies} \: Profit\% = \dfrac{60}{1200} \times 100$

$\sf{\implies} \: Profit\% = \dfrac{6000}{1200}$

$\sf{\implies} \: Profit\% = 5\%$

$\therefore$ The Selling Price should be Rs. 1260 to get the profit of 5%.

Answer 2

Answer:

Therefore, at this price Rs.1260 should he sell the memory card to get 5% profit.

Explanation:

Given,

Loss percentage = 15%

Case - 1:

S.P. = Rs. 1020

Loss percentage = 15%

C.P. = ?

By using the formula of C.P.

C.P. = 100 / (100 - Loss%) × S.P.

Putting the given values.

=> C.P. = 100 / (100 - Loss%) × S.P.

=> C.P. = 100 / (100 - 15) × Rs.1020

=> C.P. = 100 / 85 × Rs.1020

=> C.P. = Rs.102000 / 85

=> C.P. = Rs.1200

.°. C.P. = Rs. 1200

Case - 2:

C.P. = Rs.1200

Profit percentage = 5%

S.P. = ?

By using the formula of S.P.

S.P. = (100 + Profit%) / 100 × C.P.

Putting the given values.

=> S.P. = (100 + Profit%) / 100 × C.P.

=> S.P. = (100 + 5) / 100 × Rs. 1200

=> S.P. = 105 / 100 × Rs. 1200

=> S.P. = 105 × 12

=> S.P. = Rs.1260

.°. S.P. = Rs.1260

Therefore, at this price Rs.1260 should he sell the memory card to get 5% profit.