Question

By selling a basket for ₹ 19.50 a shopkeeper gains 30% For how much should he sell it to gain 40%​

Answer 1

Given :-

• Gain when the basket is sold for 30% profit = ₹19.50

To find :-

• The selling price of the basket so that there is a 40% profit.

Formula to use :-

$gain = \dfrac{gain\%}{100} \times cost \: price$

Substituting the values,

$19.50 = \dfrac{30}{100} \times cp$

By reducing to the lowest terms,

$19.50 = \dfrac{3}{10} \times cp$

Transposing 10 to the LHS (Left Hand Side), and assuming cost price to be x,

$19.50 \times 10 = 3 \times x$

$195 = 3 \times x$

Transposing 3 to the LHS (Left Hand Side),

$\dfrac{195}{3} = x$

$65 = x$

To find the selling price :-

Formula to use :-

$selling \: price = \dfrac{100 + gain\%}{100} \times cost \: price$

$sp = \dfrac{100 + 40}{100} \times 65$

$sp = \dfrac{140}{100} \times 65$

Hence

Selling price = ₹91