Question

if goods be purchased for 450 and one third be sold at loss of 10% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

Answer 1

Assume Total cost price of goods = Rs. 450
Our target SP of total goods =
120
100
×450=Rs
.540
120100×450=Rs.540

One-third of the goods costs = 450/3 = Rs.150
SP of one-third goods =
90
100
×
150
=
R
s
.135
90100×150=Rs.135
SP of the remaining goods = 540 – 135 = Rs. 405
CP of remaining (two-thirds) goods = Rs. 300
Hence, profit per cent = 105300×100=35%105300×100=35%

Answer 2

Hey mate..........

Here is your answer..............

Let the total CP of the goods be Rs 450

Total SP

$= 20\% \: of \: 450 = \frac{120}{100} \times 450 = 540$

One third of the CP

$= \frac{1}{3} of \: 450 = 150$

SP on that amount

$= 90\% \: of \: 150 = \frac{90}{100} \times 150 = 135$

SP on remaining goods

$= 450 - 135 = 405$

CP on remaining goods

$= \frac{2}{3} \times 450 = 300$

Profit

$= sp - cp = 405 - 300 = 105$

Profit %

$= ( \frac{profit}{cp} \times 100)\% \\ \\ \\ = (\frac{105}{300} \times 100)\% \\ \\ \\ = 35\%$
The remaining goods should be sold at a profit of 35% to gain 20% on the whole transaction.

Hope this helps

JAI HIND


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