Question

A shopkeeper get 20% loss when he sells a shirt in RS960.On what price should be sold it to get 35% profit.​

Answer 1

Given :

• SP{1} = ₹960
• Loss % = 20%

To find :

SP , so to make a profit of 35%

Formula used :

1. Loss = CP - SP
2. Loss% = ((CP-SP) × 100) ÷ CP
3. Profit = SP - CP
4. Profit% = (Profit × 100) ÷ CP

Procedure :

• First of all we will find CP , at which shopkeeper purchased shirt
• Then we will find new SP

Solution :

Loss% = ((CP-SP)× 100/CP

$\sf \implies \: 20 = \dfrac{(CP- 960) \: }{CP} \: \times 100 \\ \\ \sf \implies \: \frac{20 \times CP}{100} \: = (CP - 960) \\ \\ \sf \implies \: 0.2CP = CP - 960 \\ \\ \sf \implies \: CP - 0.2CP \: = 960 \\ \\ \sf \implies \: 0.8CP = 960 \\ \\ \sf \implies \: CP = \frac{960}{0.8} = 1200$

• Now we have to find SP such that Profit will be 35%

CP = ₹1200

Profit% = 1200

Profit% = Profit × 100/CP

$\sf \implies \: \: 35 = \dfrac{ Profit }{1200} \times 100 \\ \\ \sf \implies \: \: Profit = 35 \times 12 \\ \\ \sf \implies \: \: Profit = \: 420$

• Profit = SP - CP

New SP = Profit + CP

New SP = 1200+420

New SP = ₹1620

ANSWER :

New SP = ₹1620