Question

a dealer buys some pens from a wholesaler at the rate of rs.30 per pen and marked them at rs40 each. How much discount he should allow to get a profit of 20%?

Answer 1

CP = 30
gain = 20
30 20% = 6

for 20% gain he sold pen at 36 Rs

Answer 2

Answer:

$\red { Discount \: percentage }\green {= 10\% }$

Step-by-step explanation:

$Cost \:price \: of \: a \: pen (c.p) = Rs \:30$

$Marked \:price \:of \: the \: pen(m.p) = Rs \: 40$

$profit (g) = 20\%$

$Selling \: price (s.p) = c.p \left(\frac{(100+g)}{100}\right)\\= 30\left( \frac{(100+20)}{100}\\= 30 \times \frac{120}{100} \\= Rs \:36$

$Discount (d) = m.p - s.p\\=Rs \:40 - Rs \: 36 \\= Rs \:4$

$Discount \: percentage = \frac{d}{m.p} \times 100\\= \frac{4}{40} \times 100 \\= 10\%$

Therefore.,

$\red { Discount \: percentage }\green {= 10\% }$

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