Question

Find the gain percent if a shopkeeper marks his goods at 30% above the C.P and then gives a discount of 10%.

Answer 1

✬ Profit % = 10.5 ✬

Step-by-step explanation:

Given:

• Shopkeeper marks his goods 30% above C.P.
• Discount percent given on goods is 10%.

To Find:

• What is the gain percent

Solution: Let the C.P of goods he Rs 100. Therefore,

➨ Marked Price = 100 + 30% of 100

➨ M.P = 100 + 30/100(100)

➨ M.P = Rs 130.

Now discount given on marked price is 10%. As we know that

★ Discount% = Discount/M.P $\times$ 100 ★

$\implies{\rm }$ 15 = D/130 $\times$ 100 ★

$\implies{\rm }$ 15 = 100D/130

$\implies{\rm }$ 15 $\times$ 130/100 = D

$\implies{\rm }$ 1950/100 = D

$\implies{\rm }$ 19.5 = D

★ S.P = M.P – Discount ★

➙ S.P = 130 – 19.5

➙ S.P = Rs 110.5

★ Profit = S.P – C.P ★

➙ P = 110.5 – 100

➙ P = Rs 10.5

★ Profit % = Profit/C.P(100) ★

➙ P% = 10.5/100(100)

➙ P% = 10.5%

Hence, profit percent made by shopkeeper is 10.5%.

Answer 2

✬ Profit % = 10.5 ✬

Step-by-step explanation:

Given:

Shopkeeper marks his goods 30% above C.P.

Discount percent given on goods is 10%.

To Find:

What is the gain percent

Solution: Let the C.P of goods he Rs 100. Therefore,

➨ Marked Price = 100 + 30% of 100

➨ M.P = 100 + 30/100(100)

➨ M.P = Rs 130.

Now discount given on marked price is 10%. As we know that

★ Discount% = Discount/M.P \times× 100 ★

\implies{\rm }⟹ 15 = D/130 \times× 100 ★

\implies{\rm }⟹ 15 = 100D/130

\implies{\rm }⟹ 15 \times× 130/100 = D

\implies{\rm }⟹ 1950/100 = D

\implies{\rm }⟹ 19.5 = D

★ S.P = M.P – Discount ★

➙ S.P = 130 – 19.5

➙ S.P = Rs 110.5

★ Profit = S.P – C.P ★

➙ P = 110.5 – 100

➙ P = Rs 10.5

★ Profit % = Profit/C.P(100) ★

➙ P% = 10.5/100(100)

➙ P% = 10.5%

Hence, profit percent made by shopkeeper is 10.5%.