Question

By selling an umbrella for Rs.300, a shopkeeper gains 20%. During sale, the shopkeeper allows a discount of 10% on marked price. His gain percentage during the sale is?

Answer 1

Given:-

• Marked price of umbrella = Rs.300
• Profit percentage of shopkeeper = 20%
• On marked price, discount provided during sale = 10%

To find:-

• Gain percentage during the sale = ?

Solution :-

➸ Given, profit percentage is 20%.

∴ Cost price of umbrella:

= Rs. 300 × 100/(100+20%)

= Rs. 300 × 100(120)

= Rs. 250

ㅤ

➸ Selling price of umbrella during the discount of 10% :

S.P. = 90% of marked price.

S.P. = 300 × 90/100

S.P. = Rs.270

ㅤ

➸ Gain percentage during sale:

$\sf = \dfrac{270 - 250}{250} \times 100$

$= \sf \dfrac{20}{250} \times 100$

$\sf \: \implies \boxed{ \sf{= 8 \% }}$

Answer 2

$\bf{\underline{Question:-}}$

• By selling an umbrella for Rs.300, a shopkeeper gains 20%. During sale, the shopkeeper allows a discount of 10% on marked price. His gain percentage during the sale is?

$\bf{\underline{Given:-}}$

• selling an umbrella for Rs.300
• Shopkeeper gain 20%
• shopkeeper allows a discount of 10% on marked price.

$\bf{\underline{Find:-}}$

• His gain percentage during the sale is ?

$\bf{\underline{Solution:-}}$

→ Cost price of umbrella = ( 300×100/120) =

→ Cost of umbrella = 3000/120 = ₹ 250

• Marked price of umbrella = 300 ₹
• Discount = 10%

★ Selling price of umbrella during sell 90% × 300 = 270 ₹

→ Gain % during sale season = $\sf \frac{270 - 250}{250}×100$

→ Gain % during sale season = (20/250)×100

→ Gain % during sale season = 8%

$\bf{\underline{Hence:-}}$

• Gain percent during sale season = 8%