Question

By selling a Mango at RS 260, Raju makes a profit of 30%. Find the cost price of the Mango?​

Answer 1

Answer:

Step-by-step explanation:

30% of 260

30/260*100

3000/260

115 approx

260-115=₹145

Initial cost of mango was 145

Answer 2

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

The Cost Price of Mango is Rs. 200.

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

Given :

Selling the mango at = Rs. 260

Raju made a Profit of = 30%

To find :

Cost price of Mango

Solution :

Here,

Selling Price (SP) = Rs. 260

Profit % = 30%

★ We know that :

${\boxed{\sf\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\tt{\implies} \: CP = \dfrac{100}{100 + 30} \times 260$

$\tt{\implies} \: CP = \dfrac{100}{130} \times 260$

$\tt{\implies} \: CP = \dfrac{26000}{130}$

$\tt{\implies} \: CP = 200$

$\therefore$ The Cost Price of Mango is Rs. 200.

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

As We got the Cost Price, we can verify it by solving it for Profit%.

CP = 200

SP = 260

CP < SP = Profit

★ Profit % =

${\boxed{\sf\:{Profit\% = \frac{SP - CP}{CP} \times 100}}}$

$\tt{\implies} \: \dfrac{260 - 200}{200} \times 100$

$\tt{\implies} \: \dfrac{60}{200} \times 100$

$\tt{\implies} \: \dfrac{6000}{200}$

$\tt{\implies} \:30 \: \%$

$\therefore$ The Cost Price of Mango is Rs. 200.