Question

Bharat purchased 90 bags of cement at rs. 450 each. he sold 30 bags at 20% profit and 20 bags at 6% loss. at what rate per bag should the remainder he sold to gain a profit of 9% on whole transaction

Answer 1

total cost = 90x450=Rs40500

selling price = 450[(1.2x30)+(0.94x20)+(Rx400)]

and according to the question SP=1.09x40500= 44145

so 450[36+18.8+400R]=44145
R=0.108

So, he must sell the remainig bags @ 8%profit

Answer 2

$\huge\mathfrak{Answer:Rs\:487.125}$

Given that :-

• Bharat purchased 90 bags of cement at rs. 450 each.

• He sold 30 bags at 20% profit and 20 bags at 6% loss.

To find :-

• At what rate per bag should the remainder he sold to gain a profit of 9% on whole transaction

$\huge\mathfrak{Solution:}$

According to the information given, bags remaining = 40

Let the 40 bags be sold with p% gain

Now % gain or loss on the whole lot

= sum of product of gain or loss %s with their respective quantities.

$\boxed{Therefore}$

9% of 90 Bags of Rs. 450 each = 20% of 30 Bags of Rs. 450 each – 6% of 20

Bags of Rs. 450 each 9%

40 Bags of Rs. 450 each

(9/100) x 90 x 450= {(20/100) x 30 x 450} – {(6/100) x 20 x 450} + {(p/100) x 40 x 450}

9 x 90 = (20 x 30) – (6 x 20) + (p x 40)

p = 8.25%

Therefore, the selling price would be = 108.25/100 x 450 = Rs. 487.125