Question

Sakshi bought 10 cycles at ₹2000 each . She sold 4 of them at loss of 25% and remaining at profit of 20% .Find the loss/gain % ??? pls teel the step by step answer its urgent pls i will mark u as a brainliest if u will give the answer ...​

Answer 1

$\large \red{ \underline{ \underline{ \green{ \rm given : }}}}$

• Total numbers of cycles = 10

• rate of 10 cycles = rs. 2000

• Numbers of cycles sold in loss = 4

• loss% on 4 cycles = 25%

$\large \pink{ \underline{ \underline{ \orange{ \rm solution : }}}}$

$\bigstar$ remaining cycles = 10 - 4

= $\large \red{6 \: cycles}$

$\star \: \: \rm c.p \: of \: 1 \: cycles = 2000 \times \large \frac{1}{10}$

$\therefore$ c.P of 1 cycle = 200

$\rightarrow \red{ \rm c.p \: of \: 4 \: cycles \: = 200 \times 4}$

= rs. 800

$\blue{\boxed{ \boxed{ \purple{ \rm loss= \frac{loss\% \: \times \: c.p}{100} }}}}$

$\implies \large \frac{25\% \times 800}{100}$

$\implies$ 25 × 8

loss = rs. 200

$\bigstar \: \: \blue{ \rm c.p \: of \: 6 \: cycles = 200 \times 6}$

= rs. 1200

$\orange{\boxed{ \boxed{ \red{ \rm profit= \frac{profit\% \: \times \: c.p}{100} }}}}$

$\implies \: \large \frac{20\% \times 1200}{100}$

$\implies$ 20 × 12

= rs. 240

$\large\: \: \: \: \: \: \red{\boxed{ \purple{ \rm profit > loss}}}$

$\implies$ Gain of rs. 240

$\pink{\boxed{ \boxed{ \green{ \rm profit\%= \frac{profit\ \: }{c.p} \times 100}}}}$

$\implies \: \large \frac{240}{1200} \small\times 100$

$\implies \: \large\frac{240}{12}$

$\blue{\boxed{ \red{ \rm \therefore \: \: gain\% = 20\% }}}$