Question

A farmer sold two of his cattle for ₹2700 each. On one he made a gain of 7% and on the other a loss of 10%. Find his overall gain or loss.

Answer 1

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A farmer sold 2 bullocks for Rs 24000 each. On one bullock he gained 25% and on the other, he lost 20%. Find his total profit or loss percent

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Solution

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Given S.P of each Bullock = Rs 24000

(i) Profit =S.P−C.P

⇒25% of C.P = S.P - C.P

⇒

100

25

C.P=24000 - C.P

⇒

4

1

C.P + C.P= 24000

⇒

4

5

C.P = 24000

⇒C.P = Rs 19200

(ii)Loss = C.P−S.P

⇒ 20% of C.P = C.P - S.P

⇒

100

20

C.P = C.P - 24000

.⇒ C.P -

5

1

C.P = 24000

⇒

5

4

C.P = 24000

⇒C.P = 6000×5

⇒ C.P = Rs 30000

Now Total S.P of 2 Bullocks = Rs 48000

Total C.P of 2 Bullocks = Rs 19200 +Rs30000

= Rs 49200

Profit = S.P−C.P

= Rs 48200 - 48000

= Rs 1200

Profit % =

C.P

P

×100

=

49200

1200

×100

=2.44