Question

Q.If you sell a horse for Tk 6200 and a cow for rs 2600, than you will earn 10% profit ,if you sell a horse for Tk 6000 and a cow at its cost price and earn 12.5% profit , find cost price of horse and cow?

Answer 1

The cost price of the horse is Rs. 5000 and the cow is Rs. 3000.  

Step-by-step explanation:

Required Formula:

• S.P. = [(100+P%)/ 100]*C.P.

Let the cost price of the horse be “x” and that of a cow be “y”.

Considering the first half of the question and based on the above formula we can get the eq. as,

Total S.P. = S.P. of horse + S.P. of cow

(x+y) * [(100+10)/100] = 6200 + 2600

⇒ (x+y)*[110/100] = 8800

⇒ 1.1(x+y) = 8800

⇒ x + y = 8000 ……. (i)

Now, considering the second half of the question and based on the above formula we can get the eq. as,

Total S.P. = S.P. of horse + S.P. of cow

(x+y) * [(100+12.5)/100] = 6000 + y

⇒ (x+y)*[112.5/100] = 6000 + y

⇒ (x+y)1.125 = 6000 + y

⇒ 1.125x + 0.125y = 6000 ……. (ii)

Multiplying eq. (i) by 1.125 and subtracting eq. (ii) from (i), we get

1.125x + 1.125y = 9000

1.125x + 0.125y = 6000

-           -                -

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                  y = 3000 ← cost price of the cow

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Substituting the value of y in eq. (i), we get

x + 3000 = 8000

⇒ x = 5000 ← cost price of the horse

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