Question

The cost price of a television is Rs. 25,000. Asha sold it at 20% profit to Lata. Lata spent Rs. 5,000 on repairing, later she sold it at a loss of 25% to Sarita, then what is the cost price of the television for Sarita is how much percent is it more than the cost price of the television for Asha?
1. 8%
2. 6%
3. 5%
4. 10%

Answer 1

Correct Answer - Option 3 : 5%

Given: 

The cost price of television = Rs. 25,000

Profit% of Asha = 20% 

Lata spent on repairing = Rs. 5000

Loss% of Lata = 25% 

Formulae used:

1.) S.P = C.P × (100 + P%)/100 

2.) S.P = C.P × (100 – L%)/100 

Where, 

S.P → Selling price 

C.P → Cost price 

P% → Profit% 

L% → Loss% 

 Calculations:

The selling price of Asha = C.P × (100 + P%)/100 

⇒ 25,000 × (100 + 20)/100 

⇒ Rs. 30,000

The cost price of Lata = Selling price of Asha 

The cost price of Lata = 30,000

Lata spent on repairing = Rs. 5000

So, Total cost price of Lata = 30,000 + 5,000 

⇒ Rs. 35,000

The selling price of Lata = C.P × (100 – L%)/100

⇒ 35,000 × (100 – 25%)/100 

⇒ Rs. 26,250

The cost price of Sarita = Selling price of Lata 

The cost price of Sarita = 26,250 

The cost price of Sarita more to the cost price of Asha = 26,250 – 25,000

⇒ 1,250

More % = (1,250/25,000) × 100 

⇒ 5% 

∴ The cost price of Sarita is 5% more than the cost price of Asha.