Question

Manoj sells one mobile for rupees 8800 at a gain of 10% and sells another for 9400 at a loss on 6% find overall gain or loss

Answer 1

Answer:

profit Rs.200

Step-by-step explanation:

FOR Mobile 1

SP = Rs 8800

Gain =10%

CP = [100/100 + Profit%] * SP

So, Cost price = 100/110 × 8800 = Rs.8,000

FOR Mobile 2

SP = Rs 9400

Loss =6%

CP = [100/100-Loss%] * SP

So, Cost price = 100/94 ×9400 = Rs.10,000

Total Cost price = Rs 18,000

Total selling price = Rs 18,200

∵ SP>CP

∴ Profit = Rs 200

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Answer 2

Answer:

Manoj sells one mobile for rupees 8800 at a gain of 10% and sells another for 9400 at a loss on 6% . Overall gain is 200 /-

Step-by-step explanation:

Let cost price=x

Selling price =8800

gain = 10%

      =x($\frac{10}{100}$)=$\frac{x}{10}$

selling price= purchase price + gain

⇒$8800=x+\frac{x}{10} \\ \\ \frac{x+10x}{10} =8800\\ \\ \frac{11x}{10} =8800\\ \\ 11x=88000\\ \\ x=\frac{88000}{11} \\ \\ x=8000$

Case-2

for selling at 9400 at a loss on 6%

let purchase cost=x

loss =6%

      = x($\frac{6}{100}$)$=\frac{3x}{50}$

selling price= purchase cost-gain

⇒$9400=x-\frac{3x}{50}$$\frac{50x-3x}{50} =9400\\ \\ \frac{47x}{50} =9400\\ \\ 47x=470000\\ \\ x=10000$

net purchase cost=$10000+8000=18000$

net selling price= $8800+9400=18200$

profit =200

Net profit is 200 .