Question

( 1 ) Find the selling price in each of the following.
( a ) cost price = 750, profit= 10%

( b ) cost price = 600,loss=9%

( c ) cost price= 1000,loss= 2%

( d ) cost price= 350,overhead expenses= 50, profit=15%​

Answer 1

Answer:

A) Selling price = Profit + C.P

= 750+10

= 760

B) Selling price =loss - C.P

 600-9

591

c) Selling price = loss- C.P

1000-2

998

d) 350+50+15

= 415

i hope it is correct

Answer 2

Answer :

• The selling price is Rs. 825
• The Selling Price is Rs. 546
• The selling price is Rs. 980
• The selling price is Rs. 460.

Step-by-step explanation ::

( a ) cost price = 750, profit = 10%

Solution :-

$\bf{S.P = \dfrac{(100+gain)\%}{100} \times C.P.} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{(100+10)\%}{100} \times 750} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{110}{100} \times 750} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{11 \cancel{0}}{1 \cancel{0} \cancel{0}} \times 75 \cancel{0}} \\ \\ \\ \sf{ \mapsto \: S.P = 11 \times 75} \\ \\ \\ \bf{ \mapsto \: S.P = 825}$

• The Selling Price is Rs. 825.

( b ) cost price = 600, loss = 9%

Solution :-

$\bf{S.P = \dfrac{(100 - loss)\%}{100} \times C.P.} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{(100 - 9)\%}{100} \times 600} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{91}{100} \times 600} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{91}{ \cancel{100}} \times\cancel{600}} \\ \\ \\ \sf{ \mapsto \: S.P = 91 \times 6} \\ \\ \\ \bf{ \mapsto \: S.P = 546}$

• The selling price is Rs. 546

( c ) cost price = 1000, loss = 2%

Solution :-

$\bf{S.P = \dfrac{(100 - loss)\%}{100} \times C.P.} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{(100 - 2)\%}{100} \times 1000} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{98}{100} \times 1000} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{98}{ \cancel{100}} \times \: 10\cancel{00}} \\ \\ \\ \sf{ \mapsto \: S.P = 98 \times 10} \\ \\ \\ \bf{ \mapsto \: S.P = 980}$

• The selling price is Rs. 980

( d ) cost price = 350, overhead expenses= 50, profit = 15%

Solution :-

Total cost: Rs. ( 350 + 50 ) = Rs. 400

$\bf{S.P = \dfrac{(100+gain)\%}{100} \times C.P.} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{(100+15)\%}{100} \times 400} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{115}{100} \times 400} \\ \\ \\ \sf{ \mapsto \: S.P = \dfrac{115}{1 \cancel{0} \cancel{0}} \times 4 \cancel{00}} \\ \\ \\ \sf{ \mapsto \: S.P = 115 \times 4} \\ \\ \\ \bf{ \mapsto \: S.P = 460}$

• The selling price is Rs. 460.