Question

ram naresh bought a bags whose MRP is 400. He bought it for rs 160 after two consecutive discount. if second discount is 20% then find the first discount.​

Answer 1

Answer:50%

 Step-by-step explanation:

 MP=₹400

 Let First Discount is of =x%

 SP after first Discount

 $400-(400 \times x\%)\\\\400-</strong></p><p><strong>(400\times\frac{x}{100} )\\\\400-4x$

 SP after First Discount=₹(400-4x)

 Second Discount=20%

 MP for Second Discount=₹(400-4x)

 SP=₹160

 $SP=(400-4x)(400-4x\times20\%)\\\\=(400-4x)(400-4x\times\frac{20}{100} )\\\\(400-4x)(\frac{400-4x}{5} )\\\\\frac{160000}{5} -\frac{1600x}{5} -\frac{1600x}{5} +\frac{16x}{5} =160\\\\-\frac{1600x}{5} -\frac{1600x}{5} +\frac{16x}{5}=160-\frac{160000}{5} \\\\\frac{-3184x}{5} =\frac{-159200}{5} \\\\X=\frac{-159200}{5} \times\frac{5}{-3184} \\\\X=\frac{-159200}{-3184} \\\\X=50$  

First Discount=50%