A vendor bought 120 sweets at 20 p each. In his house, 18 were consumed and he sold the remaining at 30 p each. Find his profit or loss as percent.

Open in App

Solution

Step 1: Find C.P. of sweets
Given: Number of sweets bought =120

Cost of one sweet =20 p

⇒ C.P. of 120 sweets (in ₹) =₹ $\frac{120 \times 20}{100}$

=₹ 24

Step 2: Find S.P. of sweets sold

Given: Number of sweets consumed =18

⇒ Number of sweets sold =120-18

=102

⇒ S.P. of 102 sweets (in ₹) =₹ $\frac{102 \times 30}{100}$

= $\frac{3060}{100}$
=₹ 30.60
Step 3: Find the profit/loss as percent

Since S.P. > C.P.

∴ Profit (in ₹) = S.P. – C.P.

=₹ 30.60-₹ 24

=₹ 6.60

Profit percent = $\frac{G a i n}{C . P .} \times 100$

= $\frac{6.60}{24} \times 100$
= $\frac{660}{24}$

= $\frac{55}{2}$
=27.5
Hence, the profit as a percent is 27.5%.

Suggest Corrections

Similar questions

A shopkeeper bought 300 eggs at 80 paisa each. 30 eggs were broken in transit and then he sold the remaining eggs at one rupee each. Find, his gain or loss as percent

Q. A fruitseller bought

200

oranges for

R s . 120

a score. He found that

25

oranges were rotten. He sold the remaining oranges for

R s . 5

each. Find his profit or loss percentage.

Q. A shopkeeper bought 300 eggs at 80 paise each. 30 eggs were broken in the transaction and then sold the remaining eggs at one rupee each. Find his gain or loss as per cent.

Q. A grocer bought

15

sweets at Rs

72

. He sold them at a gain Rs

18

. Find his profit %. Also, find the selling price of

20

sweets.

Q. A retailer marks his goods at a price that he would get a profit of

40 %

. He sold

40 %

of the goods at this price, half of the remainings at a discounts of

20 %

each. Find his loss percent or profit percent on the whole.

Join BYJU'S Learning Program