Question

Nitish sold two articles for 480 each gaining 20% on one and losing 20% on the other. Find his gain or
loss per cent in the transaction.​

Answer 1

And in pic plrase see it and remark

Answer 2

Answer:

The loss incurred was of 4.16 % (Approx) in the whole transaction.

Explanation:

1st article :

• P% = 20%
• SP = Rs. 480
• CP = ??

Cost price =

⇒ 100/(100 + P%) × SP

⇒ 100/(100 + 20) × 480

⇒ (100 × 480)/(100+20)

⇒ 48000/120

⇒ 400

$\rule{300}{1.5}$

2nd article :

• L% = 20%
• SP = Rs. 480
• CP = ??

Cost Price =

⇒ 100/(100 - L%) × SP

⇒ 100/(100 - 20) × 480

⇒ (100 × 480)/(100+20)

⇒ 48000/80

⇒ 600

$\rule{300}{1.5}$

Total SP :

⇒ SP of 1st article + SP of 2nd article

⇒ 480 + 480

⇒ 960

$\rule{300}{1.5}$

Total CP :

⇒ CP of 1st article + CP of 2nd article

⇒ 400 + 600

⇒ 1000

CP > SP

⇒ It is loss

$\rule{300}{1.5}$

Loss %

⇒ (CP - SP)/CP × 100

⇒ (1000 - 960)/960 × 100

⇒ 40/960 × 100

⇒ 400/96

⇒ 4.16 (approx)

Therefore, the loss incurred was of 4.16 % (Approx) in the whole transaction.