A. 33%

B. 33 \frac{1}{3} \%

C. 35%

D. 44%

### Check Answer

The correct answer is

According to the problem statement,

⇒ The cost price of 6 articles is 5, then the cost price of 1 article would be RS \cdot \frac{5}{6}

⇒ The selling price of 5 articles is 6, then the selling price of 1 article would be RS \cdot \frac{6}{5}

Now Gain % Formula is,

Gain% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

By putting Values, it will be

\frac{\left(\frac{6}{5}-\frac{5}{6}\right)}{\left(\frac{5}{6}\right)} \times 100

Taking LCM of Cost price and Selling price,

\frac{\left(\frac{36-25}{30}\right)}{\left(\frac{5}{6}\right)} \times 100

\frac{\left(\frac{11}{30}\right)}{\left(\frac{5}{6}\right)} \times 100

\left(\frac{11}{30}\right) \times\left(\frac{6}{5}\right) \times 100

\begin{array}{l}\frac{11\ \times\ 6}{30\ \times5}\ \times100\ ⇒\frac{66}{150}\ \times\ 100\ ⇒\frac{6600}{150}\ =\ 44\ \%\end{array}

You can calculate gain % by simple method;

let’s suppose we have bought the number of articles, take LCM of 6 and 5, it is 30.

Now, as we know the number of articles bought, we can calculate Cost price and selling price.

Cost price =R s .\left(\frac{5}{6} \times 30\right)=R s .25

Selling Price =R s .\left(\frac{6}{5} \times 30\right)=R s .36

Now, by putting values in the Gain% formula

Gain% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

Gain% =\frac{\text { (RS. 36 – RS. 25) }}{\text { RS. 25 }} \times 100

Gain% =\frac{\text { (RS. 11) }}{\text { RS. 25 }} \times 100

Gain% = 44%

**“44%”**.**Step by step Solution:**According to the problem statement,

⇒ The cost price of 6 articles is 5, then the cost price of 1 article would be RS \cdot \frac{5}{6}

⇒ The selling price of 5 articles is 6, then the selling price of 1 article would be RS \cdot \frac{6}{5}

Now Gain % Formula is,

Gain% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

By putting Values, it will be

\frac{\left(\frac{6}{5}-\frac{5}{6}\right)}{\left(\frac{5}{6}\right)} \times 100

Taking LCM of Cost price and Selling price,

\frac{\left(\frac{36-25}{30}\right)}{\left(\frac{5}{6}\right)} \times 100

\frac{\left(\frac{11}{30}\right)}{\left(\frac{5}{6}\right)} \times 100

\left(\frac{11}{30}\right) \times\left(\frac{6}{5}\right) \times 100

\begin{array}{l}\frac{11\ \times\ 6}{30\ \times5}\ \times100\ ⇒\frac{66}{150}\ \times\ 100\ ⇒\frac{6600}{150}\ =\ 44\ \%\end{array}

**Alternate Solution:**

You can calculate gain % by simple method;

let’s suppose we have bought the number of articles, take LCM of 6 and 5, it is 30.

Now, as we know the number of articles bought, we can calculate Cost price and selling price.

Cost price =R s .\left(\frac{5}{6} \times 30\right)=R s .25

Selling Price =R s .\left(\frac{6}{5} \times 30\right)=R s .36

Now, by putting values in the Gain% formula

Gain% =\frac{\text { (selling price – cost price) }}{\text { cost price }} \times 100

Gain% =\frac{\text { (RS. 36 – RS. 25) }}{\text { RS. 25 }} \times 100

Gain% =\frac{\text { (RS. 11) }}{\text { RS. 25 }} \times 100

Gain% = 44%

**Thus, Gain% is 44%.**### Related:

- 100 oranges are bought at the rate of Rs. 350 and sold at…
- A shopkeeper sells one transistor for Rs. 840 at a gain of…
- When a plot is sold for Rs. 18700, the owner loses 15%. At…
- A shopkeeper expects a gain of 22.5% on his cost price. If…
- A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of…
- The percentage profit earned by selling an article for Rs.…
- A vendor bought toffees at 6 for a rupee. How many for a…
- The cost price of 20 articles is the same as the selling…
- If the selling price is doubled, the profit triples. Find…
- Robert buys an old scooter for Rs. 4700 and spends Rs. 800…
- Sam purchased 20 dozen toys at the rate of Rs. 375 per…
- A man buys a cycle for Rs. 1400 and sells it at a loss of…
- In a certain store, the profit is 320% of the cost. If the…