Question

A dvd player and a music system were bought for ₹ 14000 each . the shopkeeper made a loss of 8% on the dvd and a profit of 16% on the music system. find the gain or loss percent on the whole transaction.​​

Answer 1

SOLUTION-

• Cost price of the DVD player = ₹ 14000
• Loss per cent = 8%

selling price of the DVD player =

$= ( \dfrac{100 - loss\%}{100} ) \times cp$

$= ( \dfrac{100 - 8}{100} ) \times ₹ \: 14000$

$= \dfrac{92}{100} \times 14000$

= ₹ 12880

• Cost price of the music system = ₹ 14000
• gain per cent = 16%

selling price of the music system =

$= ( \dfrac{100 - gain\%}{100} ) \times cp$

$= ( \dfrac{100 - 16}{100} ) \times ₹ \: 14000$

$= \dfrac{116}{100} \times 14000$

= ₹ 16240

Total CP of the DVD player and the music system = ₹ (14000 + 14000) = ₹ 28000

Total SP of the DVD player and the music system = ₹ (12880 + 16240) = ₹ 29120

Since SP > CP, there is a gain in the whole transaction.

Gain = ₹ ( 29120 - 28000 ) = ₹ 1120

★ Gain per cent = $( \dfrac{gain}{cp} \times 100)\%$

$= ( \dfrac{1120}{28000} \times 100)\%$

= 4 %

Hence, the gain on the whole transaction is 4%

Answer 2

SOLUTION-

Cost price of the DVD player = ₹ 14000

Loss per cent = 8%

selling price of the DVD player =

= ₹ 12880

Cost price of the music system = ₹ 14000

gain per cent = 16%

selling price of the music system =

= ₹ 16240

Total CP of the DVD player and the music system = ₹ (14000 + 14000) = ₹ 28000

Total SP of the DVD player and the music system = ₹ (12880 + 16240) = ₹ 29120

Since SP > CP, there is a gain in the whole transaction.

Gain = ₹ ( 29120 - 28000 ) = ₹ 1120

★ Gain per cent =  

= 4 %

Hence, the gain on the whole transaction is 4%