Question

A television manufacturer earns 20% profit by selling each T.V. set for ₹ 14400. If the

production cost is increased by 15%, what should be the selling price of a set so as to gain 15%?.​

Answer 1

Step-by-step explanation:

The new selling price of a set so as to gain 15% is Rs.15870.

Step-by-step explanation:

Given : A television manufacturer earns 20% profit by selling each T.V. set o Rs. 14400. If the production cost is increased by 15%.

To find : What should be the new selling price of a set so as to gain 15%?

Solution :

The selling price is SP=Rs.14400

The profit percentage is P%=20%

The cost price is given by,

CP=\frac{100}{100+P\%}\times SPCP=

100+P%

100

×SP

CP=\frac{100}{100+20}\times 14400CP=

100+20

100

×14400

CP=\frac{100}{120}\times 14400CP=

120

100

×14400

CP=12000CP=12000

New cost price is given by,

CP_n=115\%\times 12000CP

n

=115%×12000

CP_n=0.115\times 12000CP

n

=0.115×12000

CP_n=13800CP

n

=13800

New selling price is given by,

SP=\frac{100+P\%}{100}\times CPSP=

100

100+P%

×CP

SP=\frac{100+15}{100}\times 13800SP=

100

100+15

×13800

SP=115\times 138SP=115×138

SP=15870SP=15870

Therefore, the new selling price of a set so as to gain 15% is Rs.15870.

#Learn more

A television manufacturing company declares that television is now available for 5600 as aganist 8400 a yewr ago. Find the percentage reduction

Answer 2

The new selling price of a set so as to gain 15% is Rs.15870.

Step-by-step explanation:

Given :

A television manufacturer earns 20% profit by selling each T.V. set o Rs. 14400. If the production cost is increased by 15%.

To find :

What should be the new selling price of a set so as to gain 15%?

Solution :

The selling price is SP=Rs.14400

The profit percentage is P%=20%

The cost price is given by,

$CP=\frac{100}{100+P\%}\times SP$

$CP=\frac{100}{100+20}\times 14400$

$CP=\frac{100}{120}\times 14400$

$CP=12000$

New cost price is given by,

$CP_n=115\%\times 12000$

$CP_n=0.115\times 12000$

$CP_n=13800$

New selling price is given by,

$SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+15}{100}\times 13800$

$SP=115\times 138$

$SP=15870$

Therefore, the new selling price of a set so as to gain 15% is Rs.15870.