The cost price of a television is Rs. 10,000. Asha sold it at 20% profit to Lata and Lata spent Rs. 3,000 on its repairing after that she sold it at a 25% loss to Sarita, then find the cost price of Sarita is how much % more than the cost price of Asha.
The cost price of a television is Rs. 10,000. Asha sold it at 20% profit to Lata and Lata spent Rs. 3,000 on its repairing after that she sold it at a 25% loss to Sarita, then find the cost price of Sarita is how much % more than the cost price of Asha. Correct Answer 12.5%
Given:
The cost price of television = Rs. 10,000
Profit% of Asha = 20%
Lata spent on repairing = Rs. 3000
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
⇒ 10,000 × (100 + 20)/100
⇒ Rs. 12,000
The cost price of Lata = Selling price of Asha
The cost price of Lata = 12,000
Lata spent on repairing = Rs. 3000
So, Total cost price of Lata = 12,000 + 3,000
⇒ Rs. 15,000
The selling price of Lata = C.P × (100 – L%)/100
⇒ 15,000 × (100 – 25%)/100
⇒ Rs. 11,250
The cost price of Sarita = Selling price of Lata
The cost price of Sarita = 11,250
The cost price of Sarita more to the cost price of Asha = 11,250 – 10,000
⇒ 1,250
More % = (1,250/10,000) × 100
⇒ 12.5%
∴ The cost price of Sarita is 12.5 % more than the cost price of Asha.
