Question

If gain is 50% of SP, the gain percentage is​

Answer 1

Answer:

hain=100%

Step-by-step explanation:

let s.p be ₹100

then,gain= 100/2= 50

now,

c.p = s.p-gain

100-50

=50

Hence,

gain%= gain × 100 ÷ c.p

= 50 × 100 ÷ 50

= 50

Answer 2

SOLUTION

GIVEN

Gain is 50% of SP,

TO DETERMINE

The Gain percentage

EVALUATION

Let Selling Price (SP) = Rs P

Now Gain = 50% of SP

∴ Gain

$\displaystyle \sf{ = Rs. \: \: P \times \frac{50}{100} }$

$\displaystyle \sf{ = Rs. \: \: \frac{ P}{2} }$

∴ Cost price

$\displaystyle \sf{ = Rs. \bigg(P - \: \frac{ P}{2} \bigg)}$

$\displaystyle \sf{ = Rs. \: \frac{ P}{2} }$

∴ Gain percentage

$\displaystyle \sf{ = \frac{Gain }{Cost \: Price } \times 100 \%}$

$\displaystyle \sf{ = \frac{ \frac{P}{2} }{\frac{P}{2} } \times 100 \%}$

$\displaystyle \sf{ = 100 \%}$

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