A. Rs. 21,000

B. Rs. 22,500

C. Rs. 25,300

D. Rs. 25,800

### Check Answer

The correct answer is

In the problem, we know the selling price and loss %, but we don’t know the cost price.

Let Cost Price is X= 100%

∴ Loss = Cost price – Selling price

then,

Selling price = Cost price – Loss

Selling price = 100% – 15%

S.P = 85%

According to the problem statement

S.P = 85% = RS. 18700

Now,

85% of X = RS. 18700

\frac{85}{100}\ x\ =\ RS. 18700

x\ =\ \frac{RS. 18700}{85}\ \times\ 100

x\ =\ RS. 22000

So now we find C. P = RS. 22000

Hence,

Gain = C. P – S. P

Gain amount = RS. 22000 – RS. 18700

Gain = RS. 3300

Therefore, by final condition.

As we assumed cost price at 100%, so

Cost price = 100% = RS. 22000,

Total gain to find = 100% + 15% =115%

The new selling price to gain 15% is equal to 115% of the cost price (RS. 22000)

S.P to gain 15% = \frac{115}{100}\ \times\ RS. 22000

Selling price to gain 15% = RS. 25300

**“25300”**.**QUESTION:**When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?**Step by Step Solution:**In the problem, we know the selling price and loss %, but we don’t know the cost price.

Let Cost Price is X= 100%

∴ Loss = Cost price – Selling price

then,

Selling price = Cost price – Loss

Selling price = 100% – 15%

S.P = 85%

According to the problem statement

S.P = 85% = RS. 18700

Now,

85% of X = RS. 18700

\frac{85}{100}\ x\ =\ RS. 18700

x\ =\ \frac{RS. 18700}{85}\ \times\ 100

x\ =\ RS. 22000

So now we find C. P = RS. 22000

Hence,

Gain = C. P – S. P

Gain amount = RS. 22000 – RS. 18700

Gain = RS. 3300

Therefore, by final condition.

As we assumed cost price at 100%, so

Cost price = 100% = RS. 22000,

Total gain to find = 100% + 15% =115%

The new selling price to gain 15% is equal to 115% of the cost price (RS. 22000)

S.P to gain 15% = \frac{115}{100}\ \times\ RS. 22000

Selling price to gain 15% = RS. 25300

**Hence, The plot must be sold at RS. 25300 to get a 15% gain.**### Related:

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