Question

Ram sold two cows at Rs. 3,000 each with neither gaining nor losing in total. If he sold one cow at a gain of 20%, then another cow is sold at a loss of
1. 12.5%
2. 30%
3. 28.56%
4. 14.28%

Answer 1

Correct Answer - Option 4 : 14.28%

Given:

S.P of each cow = 3000

Total C.P = total S.P

Percent profit on one cow = 20%

Formula used:

CP = [100/(100 ± a]) × S.P, where ±a = percent profit / loss

Percent profit/loss = [(profit/loss)/C.P] × 100

Concept used:

Profit and loss is always calculated on C.P

Calculation:

Total C.P of two cows = 6000 = Total S.P of two cows

Profit percent on one cow = 20%

C.P of 1^st cow = 3000 × 100/(100 + 20) = 3000 × 100/120 = 2500

Total C.P of cows = 6000

C.P of another cow = 6000 – 2500 = 3500

C.P of another cow = 3500 and S.P = 3000

Loss = 3500 – 3000 = 500

Percent loss = [500/3500] × 100 = 100/7 = 14.28%

∴ Required percentage is 14.28%.