Question

estion - 1
Megha bought 10 note-books for 40 and sold then at 4.75 per note - book. Find her gain
percent.
ЗМ​

Answer 1

Required Answer:

Given:

• C.P of 10 notebooks → Rs 40

• S.P of one notebook → Rs 4.75

To calculate:

• Gain%

Calculation:

Here, we are given that,

• S.P of one notebook is Rs 4.75

Thus, S.P of 10 notebooks → Rs ( 4.75 × 10 )

S.P of 10 notebooks → Rs 47.5

Now, we have :–

• C.P → Rs 40
• S.P → Rs 47.5

We know that:–

• Gain = S.P – C.P

→ Gain = Rs ( 47.5 – 40 )

→ Gain = Rs 7.5

Also,

• $\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

$\rm { \longrightarrow Gain \: \% = \Bigg(\dfrac{7.5}{40} \times 100 \Bigg)\% }$

$\rm { \longrightarrow Gain \: \% = \Bigg(\dfrac{75}{40 \times 10} \times 100 \Bigg)\% }$

$\rm { \longrightarrow Gain \: \% = \Bigg(\dfrac{75}{400} \times 100 \Bigg)\% }$

$\rm { \longrightarrow Gain \: \% = \Bigg(\dfrac{75}{4} \Bigg)\% }$

$\rm \red { \longrightarrow Gain \: \% = 18\dfrac{3}{4} \% }$

Therefore, gain % is $\rm { 18 \dfrac{3}{4} \%}$

_______________________________

Some related formulae:

• Gain = S.P – C.P
• Loss = C.P – S.P

• $\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

• $\rm { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

• $\rm { S.P = \dfrac{100+Gain\%}{100} \times C.P}$

• $\rm { C.P =\dfrac{100}{100+Gain\%} \times S.P}$

• $\rm { S.P = \dfrac{100-loss\%}{100} \times C.P}$

• $\rm { C.P =\dfrac{100}{100-loss\%} \times S.P}$

________________________________________