Question

The cost price of 16 apples is equal to the sell-

ing price of 10 apples. The cost price of 12 or-

anges is equal to the selling price of 16 oranges

and the cost price of 6 mangoes is equal to the

selling price of 4 mangoes. If the ratio of the

cost price of 1 apple, 1 orange and 1 mango is

in the ratio of 1 : 1: 2, then find the net profit

percent on the sale of 1 apple, 2 oranges and 2

mangoes​

Answer 1

Answer:

30%

Step-by-step explanation:

Answer 2

Answer:

30%

Step-by-step explanation:

Cost of 16 apples=Sell price of 10 apples= x(say)

So, Cost of 1 apple=x/16 and Sell price of 1 apple =x/10

Cost of 12 oranges =Sell price of 16 oranges = y(say)

So, Cost of 1 orange=y/12 and Sell price of 1 orange =y/16

Again, Cost of 6 mangoes=Sell price of 4 mangoes= z(say)

So, Cost of 1 mango=z/6 and Sell price of 1 mango =z/4

Now, the ratio of cost price of 1 apple, 1 orange and 1 mango is 1:1:2

Let, the cost price of 1 apple, 1 orange and 1 mango are a, a, and 2a respectively. ........ (1)

Then, we can write, x/16=a, ⇒x/10=16a/10 =8a/5= sell price of 1 apple ...... (2)

and, y/12=a, ⇒y/16=12a/16 =3a/4= sell price of 1 orange...... (3)

again, z/6 =2a, ⇒z/4= 12a/4 =3a= sell price of 1 mango......... (4)

Now, the total cost price of 1 apple, 2 oranges and 2 mangoes is (a+2a+2*2a)=7a. {From (1)}

And, the total sell price of 1 apple, 2 oranges and 2 mangoes is ($\frac{8a}{5}+\frac{3a}{4}*2+3a*2$) = $\frac{16a+15a+60a}{10}$ = $\frac{91a}{10}$. {From equations (2), (3), (4)}

Therefore, the net profit percentage is

$\frac{\frac{91a}{10}-7a }{7a}*100$%

=$\frac{21a}{70a}*100$%

=30% (Answer)