Question

A man bought an article for Rs. 68 and sold it gaining 15% on selling price. If the cost price is increased by 25% and the selling price increased by 10%. I need full solution

Answer 1

$\tt{Question}$

• A man bought an article for Rs. 68 and sold it gaining 15% on selling price. If the cost price is increased by 25% and the selling price increased by 10%.

$\tt{\green{Step\ by\ step\ explaination:-}}$

Given that:-

• CP. of an article= ₹68
•   Gain percent= 15%

SP. of an article= ?

$\sf{by\ using\ this\ formula→ \red{ \ SP = CP (\dfrac{( 100+ P\%}{100})}}$

$\tt{→ SP= 68 \times (\dfrac{100+ 15}{100})}$

$\tt{→ SP= 68 \times (\dfrac{115}{100})}$

$\tt{→ SP= 68 \times (\dfrac{\cancel{115}}{\cancel{100}})}$

$\tt{→ SP= 68 \times \dfrac{23}{20}}$

$\tt{→ SP= \dfrac{68 \times 23}{20}}$

$\tt{→ SP= \dfrac{1564}{20}}$

$\tt{→ SP= \dfrac{\cancel{1564}}{\cancel{20}}}$

$\tt{→ SP=₹78.20 }$

$\tt{ SP\ of\ an\ article\ =₹78.20 }$

• Now CP increase by 25%
• SP increase by 10%

$\sf{Now\ New\ CP\ = CP + 25\% of CP}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →New\ CP = 68 + \dfrac{25}{100} \times 68}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ → New\ CP = 68 + \dfrac{\cancel{25}}{\cancel{100}} \times 68}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →New\ CP = 68 + \dfrac{68}{4}}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →New\ CP = 68 + 17}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →New\ CP =₹85 }$

$\sf{Now\ New\ SP\ = SP + 10\% of SP}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →SP = 78.2 + \dfrac{10}{100} \times 78.2}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →SP = 78.2 + \dfrac{782}{100}}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →SP = 78.2 + 7.82}$

$\sf{\ \ \ \ \ \ \ \ \ \ \ \ →SP =₹86.02 }$

$\tt{New\ profit\% = \dfrac{SP- CP}{CP} \times 100}$

$\tt{New\ profit\% = \dfrac{86.02- 85}{85} \times 100}$

$\tt{New\ profit\% = \dfrac{1.2}{85} \times 100}$

$\tt{New\ profit\% = \dfrac{120}{85}}$

$\tt{New\ profit\% = 1.41\% }$