Math, asked by monachelladurai, 11 months ago

a shopkeeper bought 80 apples of rs.50 each he sold some apples at 50%profit and some quantity of apples at 20% profit .if shopkeeper earned rs.1260 on total sold quantity and rs.560 on overall quantity , then find the quantity of apples sold by shopkeeper at 20% profit

Answers

Answered by amitnrw
4

Answer:

26 Apples sole at 20% Profit

Step-by-step explanation:

a shopkeeper bought 80 apples of rs.50 each

Total Cost = 80*50 = Rs 4000

Profit rs.560 on overall quantity

=> Sell Price = 4000 + 560 = Rs 4560

earned rs.1260 on total sold quantity

=> Cost Price of Sold Quantity = 4560 - 1260 = Rs 3300

Number Of Apples sold = 3300/50  = 66

Let say sold at 20% profit = X

Cost Price = 50X  Rs

Sell Price = 50X + (20/100)50X = 60X Rs

then sold at 50% Profit = 66 - X

Cost Price = 50(66-X) = 3300 - 50X  Rs

Sell Price = (3300 - 50X)  + (50/100)(3300 - 50X)

= (3300 - 50X)(1.5)

= 4950 - 75X

Total Sell Price =

60X + 4950 - 75X = 4560

=> 15X = 390

=> X = 26

26 Apples sole at 20% Profit

Answered by anupamsatpute
0

Answer:

26 apples Sold @ 60 Rs.

Step-by-step explanation:

Cost Price: 50 Rs. per apple

50% Profit means apples were sold at: 50+ [50%/100]* (50)= 50+25= 75 Rs.

So he/she earns a profit of 25 Rs. on each apple sold at 75 Rs.

Similarly,

20% Profit means apples were sold at: 50+ [20/100]*50= 50+10=60 Rs.

Proft earned will be 10 Rs. on each apple sold at 60 Rs.

Now,

Let the shopkeeper sell X nos. of apples at the rate of 75 Rs.

and Y nos. of apples at the rate 60 Rs.

First Equation is:

[(profit earned of 75 Rs apple)*X]+[(profit earned on 60 Rs. apple)*Y]=1260Rs.

25*X + 10*Y=1260

Second Equation is:

actual apples were brought = 80 apples

purchase price= 50 Rs.

Total cost of purchase= 80*50= 4000 Rs.

Profit made by selling (X+Y) nos of apples= 560 Rs.

So, the shopkeeper has

4000+560 =4560 Rs. in his pocket now (by selling (X+Y) apples.

and X nos of apples were sold at 75 Rs. each and Y nos. of apples were sold at 60 Rs. each.

75*X + 60*Y = 4560

now solve for X and Y Linear equation

X= 40 Y= 26

thus 26 apples.

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