Question

Rohan bought 20 pairs of shoes at 300 per pair. He sold 15 pairs at 350 per pair
and the remaining at * 280 per pair. Find his gain or loss per cent.​

Answer 1

Solution!!

Cost price (CP) of 1 pair of shoes = Rs 300

CP of 20 pair of shoes = Rs 300 × 20

CP of 20 pair of shoes = Rs 6000

Selling price (SP) of 1 pair of shoes = Rs 350

SP of 15 pair of shoes = Rs 350 × 15

SP of 15 pair of shoes = Rs 5250

SP of 1 pair of shoes = Rs 280

SP of 5 pair of shoes = Rs 280 × 5

SP of 5 pair of shoes = Rs 1400

SP of 20 pair of shoes = Rs 5250 + Rs 1400

SP of 20 pair of shoes = Rs 6650

SP of 20 pair of shoes > CP of 20 pair of shoes

Profit = SP - CP

Profit = Rs 6650 - Rs 6000

Profit = Rs 650

Profit% = (Profit/CP) × 100

Profit% = (650/6000) × 100

Profit% = 10.83

More information:-

→ If SP>CP, then it is profit.

→ If CP>SP, then it is loss.

→ Profit = SP - CP

→ Loss = CP - SP

→ Profit% = (Profit/CP) × 100

→ Loss% = (Loss/CP) × 100

Answer 2

Question :

Rohan bought 20 pairs of shoes at 300 per pair. He sold 15 pairs at 350 per pair

and the remaining at * 280 per pair. Find his gain or loss per cent.

Answer :

$\sf\pink{Given:}$

• Cost price of 1 pair of shoes is 300 .

• He brought 20 such pairs .

• Sold 15 pairs for 350 per pair.

• Sold the remaining for 280 per pair .

$\sf\pink{To\:find:}$

• Gain or loss percent ?

Explanation :

• cost price of 1 pair is 300 .

• cost price of 20 pairs = 300 × 20

$\sf\longrightarrow\sf{ 6000}$

Therefore cost price of 20 pairs is Rs 6000 .

• selling price of 15 pairs at the rate of 350 per pair = 15 × 350

$\sf\longrightarrow\sf{ 5250}$

Therefore selling price of 15 pair at the rate of 350 per pair is Rs 5250

• Remaining pair of shoes = 20 - 15

$\sf\longrightarrow\sf{ 5}$

Therefore 5 pair of shoes were remaining .

• Selling price of remaining 5 pair at the rate 280 per pair = 280 × 5

$\sf\longrightarrow\sf{ 1400}$

Therefore the selling price of 5 pair of shoes at the rate of 280 per pair is Rs 1400 .

• Total selling price of 20 pair of shoes = selling price of 15 shoes + selling price of 5 shoes .

$\sf\longrightarrow\sf{ 6650}$

Therefore the total selling price is 6650.

• 6650 > 6000

That is selling price is greater than the cost price . Therefore there is profit .

• Profit = selling price - cost price

Profit = 6650 - 6000

Profit = 650

Therefore the profit is Rs 650 .

$\sf{profit\: percentage= \dfrac{profit}{cost\:price}\times 100}$

$\sf{profit\: percentage = \dfrac{650}{6000}\times 100}$

$\sf{profit\: percentage = \dfrac{650}{60}}$

$\sf{profit\: percentage = \dfrac{65}{6}}$

$\sf{profit\: percentage= \dfrac{65}{6}}$

$\sf{profit\: percentage= 10.833}$