Question

3. The selling price of 2 articles is same as the cost
price of 3 articles. What is the lose or gains
(a) 50% gains
(b) 25% gains
(d) 5% gains
(c) 50% loss
(e) None of these​

Answer 1

Given :-

• The selling price of 2 articles is the same as the cost price of 3 articles.

Aim :-

• To find the gain or loss percent.

Let the cost price of 1 article be ₹1.

According to the question,

Cost price of 3 articles = ₹1 × 3 =≥ ₹3

Selling price of 2 articles = ₹3 (as the cost price of 3 articles is the same as the selling price of 2 articles)

Hence, the

Cost price of 2 articles = ₹1 × 2 =≥ ₹2

Clearly, the selling price is great than the cost price.

SP of 2 articles = ₹3

CP of 2 articles = ₹2

Profit = SP - CP

Substituting,

Profit = ₹3 - ₹2

Profit = ₹1

Profit % :-

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

Substituting,

$\implies \sf{profit\%} = \dfrac{1}{2} \times 100$

By reducing to the lowest terms,

$\implies \sf{profit\%} = 50\%$

Therefore option (a) 50% gain is correct

Some more formulas :-

$\longrightarrow\sf{selling \: price} = \dfrac{100 + profit\%}{100} \times cost \: price$

$\longrightarrow \sf{selling \: price} = \dfrac{100 - loss\%}{100} \times cost \: price$

$\longrightarrow \sf{cost \: price} = \dfrac{100}{100 + profit\%} \times selling \: price$

$\longrightarrow \sf{cost \: price} = \dfrac{100}{100 - loss\%} \times selling \: price$