Question

By selling a dinner set for ₹ 4,500 , a person loses 10% .for how much should he sell it so as to gain 20%

Answer 1

Answer:

→ CP of sofa set = 55000

Step-by-step-explaination:

Given :

• SP of sofa = 4500Rs

• Loss% = 10%

To Find :

• Gain price of 20%

Assumption :

Assuming CP of the Sofa Set to be Rs 100.

Procedure :

Loss on 10% of Rs 100.

$\implies \sf \: \dfrac{10}{100} \times 100$

$\implies \sf \: 10$

☞ Selling price of sofa = CP - loss

$\sf Selling \: price \: of \: sofa \: = 100 - 10$

$\sf \: Selling \: price \: of \: sofa = 90rs$

Now , using direct proportion :

If SP is 90 then CP is 100. So , if SP is Rs4500 , then what will be the cost price.

This can be arranged as :

$\sf \implies \: cp = \dfrac{100 \times 45000}{90}$

$\sf \implies \: cp = 100 \times 50$

$\sf \implies \: cp = rs5000$

Now , we know our Cost Price is Rs 5000.

We have to find a gain of 20% in this CP.

So, just collecting the data :-

CP = Rs 5000

G% = 20%

$\implies \sf \: \dfrac{20}{100} \times 5000$

$\implies \sf rs1000$

→ CP of sofa set = CP + G

→ CP of sofa set = 4500+1000

→ CP of sofa set = 55000