Question

Sakhi buys 6 dozen bulbs for 1560 per dozen. She
sells 3 dozen at the rate of 1638. She finds that 6 of
the bulbs were defective. She then sells the remaining
bulbs at the rate of 1500 per dozen. Find the final
gain or loss per cent.​

Answer 1

Answer:

Loss % taken by sakshi is 7.4 % (approx).

Step-by-step explanation:

CP of 1 dozen of bulb = Rs 1560

CP of 6 dozens of bulb = Rs 6 × 1560

CP of 6 dozens of bulb = Rs 9360

Total CP = Rs 9360

In first case

SP of 1 dozen of bulb = Rs 1638

SP of 3 dozen of bulb = Rs 3 × 1638

SP of 3 dozen of bulb = Rs 4914

1 dozen = 12

3 dozen of bulb = 3 × 12 bulbs

3 doen of bulbs = 36 bulbs

Remaining bulb = (36 - 6) bulbs

[because 6 bulbs are detective]

Remaining bulbs = 30 bulbs

12 bulbs = 1 dozen

1 bulb = 1/12 dozen

30 bulbs = (1 × 30)/12 dozen

30 bulbs = 2.5 dozen

Remaining bulbs = 2.5 dozen

In second case

SP of 1 dozen of bulb = Rs 1500

SP of 2.5 dozen of bulbs = Rs 2.5 × 1500

SP of 2.5 dozen of bulbs = Rs 3750

Total SP = SP of 1st case + SP of 2nd case

Total SP of bulbs = Rs (4914 + 3750)

Total SP of bulbs = Rs 8664

Here,

Total SP is less than total CP .

Then, loss will taken by sakshi

Loss = Total CP - Total SP

Loss = Rs ( 9360 - 8664)

Loss = Rs 696

Loss % = (Loss × 100 ) / Total CP

Loss % = (696 × 100) / 9360

Loss % = 69600/9360

Loss % = 7.4 % approx

Loss % taken by sakshi is 7.4 % (approx).