Question

Donald buys an old motorcycle at Rs 22,750 and spends additional Rs 2, 550 on repairs. If he wants to make a profit of 9%, how much should he sell the motorcycle for? *

27,740.50

24,797.50

27,995.50

25,112.50

Rahul earns a profit of 325% on selling a stuffed toy. If the cost now increases by 35% but the selling price remains the same, estimate the new approximate profit percentage earned by Rahul. *

140%

185%

215%

225%

Answer 1

Solution 1) :-

→ CP of motorcycle = Rs 22,750

→ Spent on repairs = Rs.2550

So,

→ Total money spent on motorcycle by donald = 22750 + 2550 = Rs.25,300 = CP

Now,

→ Profit % = 9%

→ SP = {CP * (100 + Profit%)} / 100

→ SP = {25300 * (100 + 9)} / 100

→ SP = (25300 * 109)/100

→ SP = 253 * 109

→ SP = Rs.27,577

Hence, in order to make 9% donald should sell his motorcycle at Rs.27,577.

Solution 2) :-

Let us assume that, stuffed toy is Rs.100 .

→ CP = Rs.100

→ Profit = 325%

→ SP = {CP * (100 + Profit%)} / 100

→ SP = {100 * (100 + 325)} / 100

→ SP = (100 * 425)/100

→ SP = Rs.425 .

Now, given that, cost price is increased by 35% .

So,

→ New CP = 135% of 100 = (135 * 100)/100 = Rs.135

→ SP = Remains same = Rs.425

→ New Profit = SP - CP = 425 - 135 = Rs.290

Therefore,

→ New Profit % = (Profit in Rs. * 100) / CP

→ Profit % = (290 * 100) / 135

→ Profit % = 214.81 ≈ 215% .

Hence, the new approximate profit percentage earned by Rahul is 215%.

Answer 2

★ Case 1:-

Given:-

• CP of Motarcycle = ₹22,750

• Spent for repair = ₹2,550

• Total Money spend for Motor Cycle = 22750+2550 = 25,300 = CP

Now,

• Profit % = 9%

• SP = [CP*(100+profit %)]/100

• SP = [25300*(100+9)]/100

• SP = [25300*109]/100

• SP = 253*109

• SP = ₹ 27,577.

$\bold{ \red{</p><p>★Hence \: the \: SP = ₹27,577}{} }{}$

Case 2 :-

Lets Assume that - stuffed toy = 100

• CP = ₹100

• Profit = 325%

• SP = [CP*(100+ Profit %)]/100

• SP = [100*(100+325)/100

• SP =( 100*425 ) /100

• SP = ₹425

Now,

It was given that the CP was Increased by 35%

• New CP = 135% of 100

• New CP = (135*100)/10)

• New CP = Remains Same = ₹135

New profit = SP-CP

• New Profit = 425 - 135

• New CP = 290

New Profit Percentage :-

• New profit percentage = ( Profit in ₹ * 100)/CP

• New CP = 290*100/135

• New CP = 214.81 = 215%

$\bold{ \orange{★The \: New \: Profit \: Percentage = 215%}{} }{}$