Varun sold two almirahs for rupees 2731 each one he lost 9% while on the other He gained 15% find the gain or loss on the whole transaction
Answers
Answer:
★ Given:-
S.P of an almirah = ₹ 2730
★ Assuming:-
Let the CP of one almirah = ₹ x
★ According to question:-
On loss of 9%
x - 9x / 100 = 2730
(100x - 9x ) / 100 = 2730
91x / 100 = 2730
91x = 2730 × 100
x = 273000/91
\large{\boxed{\text{x = 3000}}}
x = 3000
Therefore, CP = ₹ 3000
★ Now,
On gain of 15%
x + 15x / 100 = 2730
(100x +15x) /100 = 2730
115x = 2730 × 100
x = 273000 / 115
\large{\boxed{\text{x = 2,373.91}}}
x = 2,373.91
Therefore, CP = ₹ 2,373.91
Total CP of almirah = 3000 + 2,373.91
\large{\boxed{\text{= 5,373.91}}}
= 5,373.91
Total CP of almirah = ₹ 5,373.91
Total SP of almirah = 2730 × 2 = ₹ 5460
\large{\boxed{\text{= Rs.5460}}}
= Rs.5460
★ SP > CP
Gain = 5460 - 5,373.91 = ₹ 86.09
\large{\boxed{\text{= Rs.86.09}}}
= Rs.86.09
Gain % = (gain / CP) × 100
\implies⟹ (86.09 × 100)/5,373.91= 8609/5,373.91
\implies⟹ 860900 / 5,37391
\implies⟹ 1.06%
★ Gain% = 1.06%
\large{\boxed{\text{Gain = 1.06}}}
Gain = 1.06
Hence, the gain on the whole transaction is = 1.06%.