Jaya bought two sarees for ₹800 each. she sold one at a gain of 5 %and other at a loss of 4 %. find her gain or loss percent in the whole transaction.
Answers
Answer:
C. P. =800
Gain=5%
S.p.=105/100*800=>840
C. P. =800
LOSS=4%
S.P.=96/100*800=>768
TOTAL C. P. =800+800=>1600
TOTAL S. P. =840+768=>1608
In whole transaction there is gain
Because =S. P. >C. P.
=1608-1600=>Rs.8
Gain%=gain* 100/C.p
=8*100/1600=>0.5%
Given :
- Bought two sarees for Rs.800
- Sold on at the gain of 5%
- Sold another at the loss of 4%
To find :
- her gain or loss percent in the whole transaction.
Solution :
⇒ Let's find the Selling Price of each sari.
Selling Price = 100 + Profit/100 × Cost Price
= 100 + 5/100 × 800
= 105/100 × 800
= 105 × 800/100
= 105 × 8/1
= 840/1
= ₹840
Selling Price = 100 - Loss/100 × Cost Price
= 100 - 4/100 × 800
= 96/100 × 800
= 96 × 800/100
= 96 × 8/1
= 768/1
= ₹768
→ Total Selling Price = ₹840 + 768
= ₹ 1608
→ Total Cost Price = ₹800 + 800
= ₹1600
⇒ Now, let's find gain/loss percent.
- Gain = S.P ≥ C.P
- Loss = C.P ≥ S.P
Here,
- S.P ≥ C.P
→ Therefore, it is Gain.
Gain = S.P - C.P
= 1608 - 1600
= 8
Gain Percent = Gain/Cost Price × 100
= 8/1600 × 100
= 800/1600
= 0.5%
- Therefore, the Gain percent in the whole transaction is 0.5%.