Question

by selling speaker for rs.768, a man loses 20%.in order to gain 20%how much should he sell the speaker

Answer 1

Answer:

The Selling price required to make 20% is Rs. 1152.

Step-by-step explanation:

Given :

Selling Price = Rs. 768

Loss Made = 20%

To Find :

Selling price in order to have 20%

Solution :

Case I -

• Selling Price = Rs. 768
• Loss % = 20%
• Cost Price = ??

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

$\sf{\longrightarrow} \: {CP = \dfrac{100}{(100 - 20\%)} \times 768} \\ \\ \sf{\longrightarrow} \: {CP = \dfrac{100}{80} \times 768} \\ \\ \sf{\longrightarrow} \: {CP = \dfrac{76800}{80}} \\ \\ \sf{\longrightarrow} \: {CP = 960}$

Cost Price of the speaker = Rs. 960

$\rule{300}{1.5}$

Case II -

• Cost Price = Rs. 960
• Profit needed = 20%
• Selling Price = ??

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

$\sf{\longrightarrow} \:SP = \dfrac{(100 + 20\%)} {100} \times 960 \\ \\ \sf{\longrightarrow} \:SP = \dfrac{120}{100} \times 960 \\ \\ \sf{\longrightarrow} \:SP = \dfrac{115200}{100} \\ \\ \sf{\longrightarrow} \:SP = 1152$

Selling Price = Rs. 1152

$\therefore$ The Selling price required to make 20% is Rs. 1152.

Answer 2

Answer :-

Man should sell for Rs. 1152 to gain 20 %.

Explanation :-

Finding cost price

Selling price (SP) = Rs. 768

Loss % (L) = 20 %

Cost price (CP) = (SP * 100)/(100 - L)

= (768 * 100)/(100 - 20)

= 76800/80

= 960

CP = Rs. 960

Finding SP when man gains 20 %

CP = Rs. 960

Gain % (G) = 20 %

Selling price (SP) = CP * (100 + G)/100

= 960 * (100 + 20)/100

= 96 * 120/10

= 96 * 12

= 1152

SP = Rs. 1152

∴ the man should sell for Rs. 1152 to gain 20 %.