Question

a shopkeeper sells 3 articles one for rs 88 at 10% gain second for rs 108 at 20% gain and the third for rs 70 at rs 30% loss find the net profit loss?

Answer 1

Answer:

Step-by-step explanation:

first article  10 % GAIN    

 CP:SP =100:110

 CP :88 =100:110 =10:11 =80:88   so CP =80

SECOND  article  20  % GAIN    

 CP:SP =100:120

 CP :108 =100:120 =10:12 =90:108    so CP = 90

THIRD  article  30 %  LOSS    

 CP:SP =100:70

 CP :70 =100:70                        so CP =100

total CP =80+90+100 =270

TOTAL SP = 88 +108 +70 =266

net loss =270 -266 =4

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The total loss is Rs.4 in the whole transaction.

$\textbf{\underline{\underline{Explanation :-}}}$

$\text{\underline{Given :}}$

First article sold for = Rs.88 at Gain of 10%

Second Article sold for = Rs.108 at Gain of 20%

Third Article sold for = Rs. 70 at the loss of 30%

$\text{\underline{To find}}$

Net profit or loss

$\text{\underline{Solution :}}$

$\textbf{\large{\underline{Case I :}}}$

The Article is sold for Rs.88 with gain of 10%

So, we need to find the Cost Price of the Article.

$\star$ As we know :

${\boxed{\tt\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\tt{\implies}CP = \dfrac{100}{100 + 10} \times 88$

$\tt{\implies}CP = \dfrac{100}{110} \times 88$

$\tt{\implies}CP = \dfrac{8800}{110}$

$\tt{\implies}CP = 80$

$\boxed{\sf{Cost \: Price = Rs.80}}$

Cost Price of first article is Rs.80

$\textbf{\large{\underline{Case II}}}$

The second article was sold for Rs.108 at the gain of 20%

${\boxed{\tt\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\tt{\implies}CP = \dfrac{100}{100 + 20} \times 108$

$\tt{\implies} CP = \dfrac{100}{120} \times 108$

$\tt{\implies}CP = \dfrac{10800}{120}$

$\tt{\implies} CP = 90$

$\boxed{\sf{Cost \: Price \: is \: Rs.90}}$

Cost Price of second Article is Rs.90

$\textbf{\large{\underline{Case III}}}$

The Selling price of the Third Article is Rs.70 at a Loss of 30%

${\boxed{\tt\:{CP = \frac{100}{(100 - loss\%)} \times SP}}}$

$\tt{\implies}CP = \dfrac{100}{100 - 30} \times 70$

$\tt{\implies}CP = \dfrac{7000}{70}$

$\tt{\implies}CP = 100$

$\boxed{\sf{Cost \: Price \: is \: Rs.100}}$

The cost price of third Article is Rs.100

★ Total Selling Price in the transaction =

$\tt{\implies}$ 88 + 108 + 70

$\tt{\implies}$ 266

★ Total Cost Price in the transaction =

$\tt{\implies}$ 80 + 90 + 100

$\tt{\implies}$ 270

CP > SP

$\therefore$ It is a Loss

Loss = CP - SP

$\tt{\implies}$ 270 - 266

$\tt{\implies}$ 4

$\therefore$The total loss is Rs.4 in the whole transaction.