Question

Reena spent ₹1200 on getting a table polished and then sold it for ₹13208 at 4% gain. Find the cost of the table.

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Cost\:price=11500\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green {\underline \bold{Given :}} \\ : \implies \text{Cost \: of \: polishing \: table = 1200 \: rupees} \\ \\ : \implies \text{Selling \: price = 13208 \: rupees} \\ \\ : \implies \text{Gain \: \% = 4\%} \\ \\\red{\underline \bold{To \: Find:}} \\ \implies \text{Cost \: of \: table = ?}$

• According to given question :

$\text{For \: Gain} \\ : \implies Gain = 4\% \: \: of \: \: x \\ \\ : \implies Gain = \frac{4}{100} \times x \\ \\ : \implies Gain = 0.04\times x \\ \\ \green{: \implies \text{Gain =0.04x\: rupees}} \\ \\ :\implies x+0.04x=Selling\:price\\\\ :\implies 1.04x=13208\\\\ :\implies x=\frac{13208}{1.04}\\\\ :\implies x=12700 \\ \text{Cost \: price \: of \: table \: excluding \: polishing \: charge }\\ \\ : \implies Cost\: price = 12700 - 1200 \\ \\ \green{ : \implies \text{Cost \: price =11500 \: rupees}}$

Answer 2

Question :-- Reena spent ₹1200 on getting a table polished and then sold it for ₹13208 at 4% gain. Find the cost of the table. ?

Formula :--

→ CP when Profit % is given = SP * 100 /(100 + P%) .

_________________

Solution :---

Given that,

→ Reena spent On Polished = Rs.1200

→ SP of table = Rs.13208 .

→ Profit % = 4% .

First we will Find CP with Formula told above , (As gain or loss % is always on CP) .

→ CP = 13208 * 100 /(100+4) = 13208*100/104 = Rs.12700 .

Now, In this Rs.12700 he spent Rs.1200 on polished also .

That , Means ,

→ original Cost price of table = Total Money he spent - Money he Spent on polishing the table .

→ original Cost price of table = 12700 - 1200 = Rs.11500 .

Hence, original cost Price of table was Rs.11500.