Question

Example 7: The marked price of a T.V. is 32,500. After allowing a 20% Diwali discount to
the customer, a shopkeeper still makes a profit of 30%. Find the cost price of the tv​

Answer 1

Answer:

M.P. of TV = Rs. 32,500

Discount = 20%

∴ S.P. of TV = Rs. { 32500(1 - $\frac{20}{100}$)}

                    = Rs. ( 32500 x $\frac{80}{100}$ )

                    = Rs. 26,000

Profit = 30 %

Let the C.P. be Rs. x

According to question,

⇒ x ( 1 + $\frac{30}{100}$) = 26000

⇒$\frac{130x}{100}$ = 26000

⇒ x = 26000 x $\frac{100}{130}$

⇒ x = 20000

∴ Cost Price = Rs. 20,000

Answer 2

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

$\green{\tt{\therefore{Cost\:price\:of\:T.V=20,000\:rupees}}}$

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

$\green{\underline \bold{Given : }} \\ \tt: \implies Marked \: price \: of \: T.V = 32500 \: rupees \\ \\ \tt: \implies Discount =20\% \\ \\ \tt: \implies Profit\% = 30\% \\ \\ \red{\underline \bold{to \: find : }} \\ \tt: \implies Cost \: price \: of \: T.V = ?$

• According to given question :

$\circ \: \text{Let \: C.P \: of \: T.V \: be \: x} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Selling \: price = Marked \: price - 20\% \: of \: Marked \: price \\ \\ \tt: \implies Selling \: price = 32500 - \frac{20}{100} \times 32500 \\ \\ \tt: \implies Selling \: price =32500 - 6500 \\ \\ \green{\tt: \implies Selling \: price =26000 \: rupees} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Selling \: price = x + 30\% \: of \: x \\ \\ \tt: \implies 26000 =x + \frac{30}{100} \times x \\ \\ \tt: \implies 26000=x + 0.3x \\ \\ \tt: \implies 26000 =1.3x \\ \\ \tt: \implies \frac{26000}{1.3} = x \\ \\ \green{\tt: \implies x = 20000} \\ \\ \green{\tt \therefore Cost \: price \: of \: T.V \: is \: 20000 \: rupees}$