Question

a businessman sells a cycle at a gain of 10%. If he buys the cycle for 10% less and sells it ₹12 more, then he makes a profit 25%. Find the cp of the cycle​

Answer 1

Answer:

480

Step-by-step explanation:

let cp be original price, sp be original selling price

g=10%

sp=cp*(1+g%)= cp(1+10%)=cp(1+.1)=1.1cp

sp=1.1cp

cp1 = cpx (1-10%)=cp(1-0.1)=0.9cp

sp1= sp+12

g=25%

sp1 = cp1(1+25%) = cp1(1+.25)=1.25cp1

sp1 =1.25cp1

sp+12=1.25 ×0.9cp

1.1cp +12 = 1.125cp

12 = 1.125cp-1.1cp = 0.025cp

cp=12/0.025=480