By selling an umbrella Rs- 30- a merchant gains 20- During a clearance sale- the merchant allows a discountof 10- on the marked price -the price which he used to sell- Find his gain-2 -4 -6 -8 -

Question

Toppr Admin · Accepted Answer

We have-xA0-S1100-x1-S2100-x230100-20-90-of30100-x2-x2235- 10 - discount allowed-30100-20-27100-x2x2-108-x2212-100-8-

By selling an umbrella for Rs. 30, a merchant gains 20%. During a clearance sale, the merchant allows a discountof 10% on the marked price (the price at which he used to sell). Find his gain%.
2 %
4 %
6 %
8 %

We have
$\frac{S_{1}}{100 + x_{1}} = \frac{S_{2}}{100 + x_{2}}$

$\frac{30}{100 + 20} = \frac{90 % o f 30}{100 + x_{2}}$

( $∵$ 10 % discount allowed)

$\frac{30}{100 + 20} = \frac{27}{100 + x_{2}}$

$x_{2} = 108 - 100 = 8$ %

By selling an umbrella for Rs. 30, a merchant gains 20%. During a clearance sale, the merchant allows a discountof 10% on the marked price (the price at which he used to sell). Find his gain%.2 %4 %6 %8 %

We have S1100+x1=S2100+x230100+20=90%of30100+x2(∵ 10 % discount allowed)30100+20=27100+x2x2=108−100=8%

By selling an umbrella for Rs. 30, a merchant gains 20%. During a clearance sale, the merchant allows a discountof 10% on the marked price (the price at which he used to sell). Find his gain%.
2 %
4 %
6 %
8 %

We have
$\frac{S_{1}}{100 + x_{1}} = \frac{S_{2}}{100 + x_{2}}$

$\frac{30}{100 + 20} = \frac{90 % o f 30}{100 + x_{2}}$

( $∵$ 10 % discount allowed)

$\frac{30}{100 + 20} = \frac{27}{100 + x_{2}}$

$x_{2} = 108 - 100 = 8$ %