Question

7. IfS.P.=800 and profit % = 5%. Then, profitis- (b) 80 O (a) 160 (c) 20 (d) 40​

Answer 1

Correct Question

If the selling price is ₹800 and the profit percentage is 5%. Then, find the profit rupees.

(a) ₹160

(b) ₹80

(c) ₹20

(d) ₹40

Answer

Given :

Selling price : ₹800

Profit percentage : 5%

To find :

The profit rupees.

Solution :

To find the profit rupees, first we should find the cost price of the item.

Cost price :

$\sf \dashrightarrow \dfrac{100}{(100 + Gain\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 + 5)} \times 800$

$\sf \dashrightarrow \dfrac{100}{105} \times 800$

$\sf \dashrightarrow \dfrac{20}{21} \times 800$

$\sf \dashrightarrow \dfrac{20 \times 800}{21} = \dfrac{16000}{21}$

$\sf \dashrightarrow \cancel \dfrac{16000}{21} = 761.90$

Now, we can find the profit rupees.

Profit rupees :

$\sf \dashrightarrow 5\% \: of \: 761.90$

$\sf \dashrightarrow \dfrac{5}{100} \times 761.90$

$\sf \dashrightarrow \dfrac{1}{20} \times 761.90$

$\sf \dashrightarrow \dfrac{1 \times 761.90}{20} = \dfrac{761.90}{20}$

$\sf \dashrightarrow \cancel \dfrac{761.90}{20} = 38.095$

38.095 is the nearest to ₹40.

Hence, the profit rupees is ₹40.