Question

1.On selling a fan for rupees 4700, a shopkepper loses 6%.
At what price must he sell it gain 6%?​

Answer 1

Your Answer:

We know

$\tt Lost \%=\dfrac{loss}{Cost\:Price}\times 100$

So,

$\tt 6=\dfrac{CP-SP}{CP}\times100 \:\:\:\:\:\:(\because loss=CP-SP) \\\\ \tt \Rightarrow 6CP=(CP-4700)\times 100 \\\\ \tt \Rightarrow 6CP=100CP-470000 \\\\ \tt \Rightarrow 470000=94CP \\\\ \tt \Rightarrow\dfrac{470000}{94}=CP \\\\ \tt \Rightarrow CP = 5000$

So, loss = 5000 - 4700

= 300

At the price of (5000 + 300) there would be a gain of 6%

So, answer is 5300

Answer 2

Answer:

₹ 5300

Step-by-step explanation:

SP = 4700

loss% = 6%

Let the CP be x

A/q

loss℅ = Loss/CP × 100

→ 6% = ( CP - SP ) / CP × 100

→ 6 = ( x - 4700 ) / x × 100

→ 6x = ( x - 4700 ) × 100

→ 6x = 100x - 470000

→ 6x - 100x = - 470000

→ -94x = - 470000

→ 94 x = 470000

→ x = 470000/94 = 5000

Now,

CP = x = 5000

Loss = 5000 - 4700 = 300

And

Gain% = 6%

New SP = 5000 + 6% of 5000

= 5000 + 6/100 × 5000

= 5000 + 6 × 50

= 5000 + 300

= 5300

Hence,

To gain 6%, he must sell it at ₹5300 .