Question

the total cost of a cow and a goat is Rs 5000 By selling the cow at a profit of 15% and the goat at a loss of 5% there is a profit of rs 510 . Find the cost of the cow and the goat

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Answer 1

) Let the cost of cow be Rs. x

Let the cost of goat be Rs. y

Total cost of cow and goat = 5000

x + y = 5000

y = 5000 - x ---eq(1)

2) CP of the cow = Rs. x

Profit % on cow = 15%

SP = CP * (100 + Profit %)/100

= x * (100 + 15)/100

= x * 115/100

= x * 1.15

= 1.15x

3) CP of the goat = Rs. y

Loss % on goat= 5%

SP = CP * (100 - Loss%)/100

= y * (100 - 5)/100

= y * 95/100

= y * 0.95

= 0.95y

4) Total CP of cow and goat = Rs.5000

Total SP of cow and goat = 1.15x + 0.95y

Given: On total transaction profit = Rs.510

That means SP > CP

Profit = Rs. 510

SP - CP = Rs.510

1.15x + 0.95y - 5000 = 510

1.15x + 0.95(5000 - x) - 5000 = 510 (From eq(1))

1.15x + 4750 - 0.95x -5000 = 510

0.2x - 250 = 510

0.2x = 510 + 250

0.2x = 760

x = 760/0.2

x = 7600/2

x = 3800

Therefore Cost of cow = x = Rs.3800

Therefore Cost of cow = x = Rs.3800Cost of goat = y = 5000 - x = 5000- 3800 = Rs. 1200

Verification :

SP of cow = 1.15x = 1.15(3800) = Rs. 4370

SP of goat = 0.95y = 0.95(1200) = Rs.1140

Total SP = 4370 + 1140 = Rs.5510

Profit = 510

SP - CP = 510

5510 - 5000 = 510

510 = 510

LHS = RHS

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