A man sells an article at a profit of 40%. If he had bought it at 40% less and sold for ? 5 less, he would have gained 50% . Find the cost price of the article .

Given compound interest for 3 years = Rs. 1513.2

and simple interest for 5 years = Rs. 2400

Now, we know that  C.I =  P 1 + R 100 n - 1

=> 1513.2 =  P 1 + R 100 3 - 1 ...........(A)

And S.I = PTR/100

=> 2400 = P5R/100 ..................(B)

By solving (A) & (B), we get

R = 5%.

log 2 3 144 = 4 

Let us assume Amount be 100 Rs and we calculate in CI

 First year 60% of 100 = 60 amount (100+60) is 160

 Second year 60% of 160 = 96 amount (160+96) is 256

 Third year 60% of 256 =153.6 amount (256+153.6) is 409.6

 Here the Amount of 100 Rs is quadrapled in 3 years.

 One year contains 2 half years

 Three year has 6 half years.

 Therefore,  It takes 6 half years.

Given,  52416 312 = 168 ? 52416 168 = 312 

Now ,  52 . 416 0 . 0168 = 52416 16 . 8 = 52416 168 × 10 = 312 × 10 = 3120

Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg.