Question

Raju buys 3 goats for rs 11600. when he sells goats for 20 percent profit and sheep at 10 percent loss. he earns total profit of 1000.what is the cost of sheep​

Answer 1

answer is 2200

option D

Answer 2

Given :- Raju buys 3 goats and 2 sheep for Rs. 11600. When he sells the goats at 20% profit and the sheep at 10% loss, he earns a total profit of Rs. 1000. The cost of one sheep is ?

Let us assume that, CP of one goat is Rsx and CP of one sheep is Rs.y .

So,

→ Total CP of 3 goat + 2 sheep = 3x + 2y = Rs.11600 ----- Eqn.(1) .

Now, given that, he sells goat for 20% profit and sheep at 10% loss.

So,

→ SP of 3 goats = CP * (100 + profit%)/100 = (3x * 120/100) = Rs.3.6x .

and,

→ SP of 2 sheep = CP * (100 - Loss%) / 100 = (2y * 90)/100) = Rs.1.8x .

given that,

→ Total Profit is = Rs.1000 .

than,

→ Total SP = Total CP + Total Profit = 11600 + 1000 = Rs.12600 .

Therefore,

→ SP of 3 goat + SP of 2 sheep = 12600

→ 3.6x + 1.8x = 12600 ------------- Eqn.(2)

Now, multiply Eqn.(1) by 12 and Eqn.(2) by 10, and than, subtracting Eqn.(1) from Eqn.(2) , we get,

→ 10(3.6x + 1.8x) - 12(3x + 2y) = 10*12600 - 12*11600

→ 36x - 36x + 18y - 24y = 126000 - 139200

→ (-6y) = (-13200)

dividing both sides by (-6) now,

→ y = Rs.2200 (Ans.)

Hence, Cost of 1 sheep is Rs.2200 .

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