Question

Amit sold an umbrella for 680.losing 15% the cost price of the umbrella?​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Cost Price of the Umbrella is ₹ 800.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Amit sold umbrella at = Rs. 680

Loss of = 15%

To find :

The Cost Price of Umbrella

Solution :

Here,

Loss = 15%

Selling Price (SP) = ₹ 680

Cost Price (CP) = ?

★ We know that :

${\boxed{\sf\:{Cost \: Price = \frac{100}{(100 - loss\%)} \times SP}}}$

$\tt{\implies} \: CP = \dfrac{100}{100 - 15} \times 680$

$\tt{\implies} \: CP = \dfrac{100}{85} \times 680$

$\tt{\implies} \: CP = \dfrac{68000}{85}$

$\tt{\implies} \: CP = 800$

$\therefore$ The Cost Price of the Umbrella is ₹ 800.

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\tt{\implies} \: 800 = \dfrac{100}{100 - 15} \times 680$

$\tt{\implies} \: 800 = \dfrac{100}{85} \times 680$

$\tt{\implies} \: 800 = \dfrac{68000}{85}$

$\tt{\implies} \: 800 = 800$

$\therefore$ The Cost Price of the Umbrella is ₹ 800.

Answer 2

$\huge \underline \mathfrak {Solution:-}$

Amit sold an umbrella for 680 rupees.ie.,

S.P. of umbrella = 680 rupees.

He sold the umbrella at the loss if 15%.

Now, we have to find out the Cost Price (C.P.) of umbrella.

We know that,

$Cost \: Price \: = \frac{100 \times S.P.}{100 - loss\%} \\ \\ = \frac{100 \times 680}{100 - 15} \\ \\ = \frac{100 \times 680}{85} \\ \\ = 100 \times 8 \\ \\ = 800 \: rupees$

So, the Cost Price (C.P). of umbrella is 800 rupees.