shyam sold two bicycle at Rs 3000 each. If he sold a bicycle at 10percent loss, then at what percent profit he must sell the another bicycle for no profit no loss
Answers
Question :- Shyam sold two bicycle at Rs 3000 each. If he sold a bicycle at 10percent loss, then at what percent profit he must sell the another bicycle for no profit no loss ?
Solution :-
we know that,
- Gain = SP - CP
- Loss = CP - SP
- Gain Percentage = (Gain*100)/ CP
- Loss Percentage = (Loss*100)/ CP
- Selling Price = ((100+Gain %)/100)*CP or ((100-Loss%)/100)*CP
- Cost Price= (100*SP)/(100+Gain%) or (100*SP)/(100-Loss%) .
given that,
- SP(1) = 3000 .
- SP(2) = 3000 .
- Loss(1) = 10% .
- Profit(2) = ?
- All over profit or loss = 0 => Total CP = Total SP.
Using above told formulas we get,
→ SP(1) = 3000
→ Loss(1) = 10% .
So,
→ CP(1) = (100*SP)/(100 - Loss%)
→ CP(1) = (100 * 3000) / (100 - 10)
→ CP(1) = (100 * 3000) / 90
→ CP(1) = (100 * 100)/3
→ CP(1) = Rs.(10000/3) .
Now,
→ Total SP = 3000 + 3000 = Rs.6000 .
and, for No profit no loss .
→ Total CP = Total SP .
Therefore,
→ CP(1) + CP(2) = 6000
→ (10000/3) + CP(2) = 6000
→ CP(2) = 6000 - (10000/3)
→ CP(2) = Rs.(8000/3).
Hence,
→ CP(2) = Rs.(8000/3)
→ SP(2) = Rs.3000
→ Gain(2) = SP(2) - CP(2)
→ Gain(2) = 3000 - (8000/3)
→ Gain(2) = Rs.(1000/3).
So,
→ Gain Percentage = (Gain*100)/ CP
→ Gain(2) % = [(1000/3) * 100] / (8000/3)
→ Gain(2) % = (1000 * 100)/8000
→ Gain(2) % = (100/8)
→ Gain(2) % = 12.5% (Ans.)
∴ Shyam has to sell the second bicycle at 12.5% profit For No Profit or No Loss.
Answer:
Yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes