Question

Varun sold two almirahs for 2730 rs on one he lost 9% will on the other gain 5% find his gain or loss on the whole transction​

Answer 1

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

x = 3000

Therefore, CP = ₹ 3000

★ Now,

On gain of 15%

x + 15x / 100 = 2730

(100x +15x) /100 = 2730

115x = 2730 × 100

x = 273000 / 115

x = 2,373. 91

Therefore, CP = ₹ 2,373.91

Total CP of almirah = 3000 + 2,373.91

= 5373.91

Total CP of almirah = ₹ 5,373.91

Total SP of almirah = 2730 × 2

= ₹ 5460

★ SP > CP

Gain = 5460 - 5,373.91

= ₹ 86.09

Gain % = (gain / CP) × 100

(86.09 × 100)/5,373.91= 8609/5,373.91

860900 / 5,37391

1.06%

★ Gain% = 1.06%

Hence, the gain on the whole transaction is = 1.06%.