Question

a dealer gains 15% by seeing his goods rs8050 he decides to make a profit of only 10% what is the new selling price

Answer 1

Answer:

Rs. 7,700

Step-by-step explanation:

Let us assume CP to be x

Selling Price after making Profit = Rs. 8050

Profit % = 15 %

Profit = SP - CP

⇒ Profit % = ( Profit / CP ) × 100

⇒ 15 % = ( 8050 - x / x ) × 100

⇒ 15 × x = ( 8050 - x ) 100

⇒ 15x = 805000 - 100x

⇒ 15x + 100x = 805000

⇒ 115x = 805000

⇒ x = 7000

Hence CP is Rs. 7000

Now Profit % is said to be 10%. SP is to be found.

⇒ 10 % = ( SP - 7000 / 7000 ) × 100

⇒ 10 × 7000 = ( SP - 7000 ) 100

⇒ 70,000 = 100 SP - 7,00,000

⇒ 70,000 + 7,00,000 = 100 SP

⇒ 7,70,000 = 100 SP

⇒ SP = 7,70,000 / 100

⇒ SP = 7,700

Hence the new SP must be Rs. 7,700 if the profit gained is 10%.

Hope helped !!