Question

If goods be purchase for Rs.$380$ and $\frac{2}{3}$rd be sold at loss of 15%, at what gain percent should the remainder be sold so as to gain $10$% on the whole transaction

• A. $60$%
• B. $70$%
• C. $90$%
• D. $40$%

Answer 1

Answer: (A)

$60$%

Let's assume 'x' number of goods were bought for rs.380.

Given that (2/3) of x were sold at 15 percent loss.

Cost price of (2/3)of x = (2/3)380=760/3

Selling price of (2/3)of x= 0.85*cost price of (2/3)x=0.85*760/3=646/3 {Since its sold at a loss of 15 percent}

we need the toal gain percentage to be 10 percent.

So selling price of X= 1.1*Cost price of X=1.1*380=418.

But the selling price of (2/3)x is 646/3

So the Selling price of remaining (1/3)x should be 418-646/3 =608/3

So the required profit percentage is (SP-CP)/CP*100 $\left[for\right(1/3\left)x\right]$

$=>$ [(608/3-380/3)/380/3]*100

$=>$ 0.6*100

$=>$ 60 percent