A. 5 \frac{15}{17} \% \text { loss }

B. 5 \frac{15}{17} \% \text { gain }

C. 6 \frac{2}{3} \% \text { gain }

D. 6 \frac{2}{3} \% \text { loss }

### Check Answer

The correct answer is

To solve this problem, we will use these 3 formula’s.

1. C P1=\left(\frac{100}{(100+\text { profit } \%)} \times S P\right)

2. C P2=\left(\frac{100}{(100-\text { loss } \%)} \times S P\right)

3. \text { Gain } \%\ =\ \left(\frac{Selling\ price\ -\ Cost\ price}{Cost\ price}\ \times\ 100\right)\%

C P1=\left(\frac{100}{(100+\text { 20 })} \times 840\right)

C.P1 = RS. 700

C P2=\left(\frac{100}{(100-\text { 4 })} \times 960\right)

C.P2= RS. 1000

Total Cost price = RS. 700 + RS. 1000

Total Cost price = RS. 1700

∴ Total Selling price = RS. 840 + RS. 960 = RS. 1800

\text { Gain } \%\ =\ \left(\frac{Selling\ price\ -\ Cost\ price}{Cost\ price}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{1800\ -\ 1700}{1700}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{100}{1700}\ \times\ 100\right)\%

\text { Gain } \%\ = 5 \frac{15}{17} \%

**“5 \frac{15}{17} \% \text { gain }“****Question:**The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:**Step by Step Solution:**To solve this problem, we will use these 3 formula’s.

1. C P1=\left(\frac{100}{(100+\text { profit } \%)} \times S P\right)

2. C P2=\left(\frac{100}{(100-\text { loss } \%)} \times S P\right)

3. \text { Gain } \%\ =\ \left(\frac{Selling\ price\ -\ Cost\ price}{Cost\ price}\ \times\ 100\right)\%

**Step: 1**

C P1=\left(\frac{100}{(100+\text { 20 })} \times 840\right)

C.P1 = RS. 700

**Step: 2**

Now the cost price of another transition;C P2=\left(\frac{100}{(100-\text { 4 })} \times 960\right)

C.P2= RS. 1000

**Step: 3**

Total Cost price = C.P1 + CP2Total Cost price = RS. 700 + RS. 1000

Total Cost price = RS. 1700

∴ Total Selling price = RS. 840 + RS. 960 = RS. 1800

**Step: 4**

so the selling price is more than the cost price, the shopkeeper is in gain;\text { Gain } \%\ =\ \left(\frac{Selling\ price\ -\ Cost\ price}{Cost\ price}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{1800\ -\ 1700}{1700}\ \times\ 100\right)\%

\text { Gain } \%\ =\ \left(\frac{100}{1700}\ \times\ 100\right)\%

\text { Gain } \%\ = 5 \frac{15}{17} \%

**Hence, Shopkeeper total gain is 5 \frac{15}{17} \%**### Related:

- 100 oranges are bought at the rate of Rs. 350 and sold at…
- A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of…
- A shopkeeper expects a gain of 22.5% on his cost price. If…
- When a plot is sold for Rs. 18700, the owner loses 15%. At…
- A man buys a cycle for Rs. 1400 and sells it at a loss of…
- Some articles were bought at 6 articles for Rs. 5 and sold…
- The percentage profit earned by selling an article for Rs.…
- Robert buys an old scooter for Rs. 4700 and spends Rs. 800…
- If the selling price is doubled, the profit triples. Find…
- A vendor bought toffees at 6 for a rupee. How many for a…
- Sam purchased 20 dozen toys at the rate of Rs. 375 per…
- On selling 17 balls at Rs. 720, there is a loss equal to the…
- In a certain store, the profit is 320% of the cost. If the…
- The cost price of 20 articles is the same as the selling…