Question

A shopkeeper sold an article at a loss of 7.5%. If the cost price
were 10% less and selling price were 31 more, he would make a
profit of 20%. What is the cost price of the article? ​

Answer 1

Step-by-step explanation:

l=7.5%

sp = cp(1-l%)

= cp(1-7.5%)=(1-0.075)cp

sp=0.925cp

cp1= cp×(1-10%)=cp(1-.1)=0.9cp

sp1=sp +31

p=20%

sp1 = cp1(1+20%)=1.2cp1

sp+31=1.2×.9cp

0.925cp +31=1.08cp

31= 0.155cp

cp =31/.155=200