Question

A salesperson, with a view to promoting sales of an item, applies the principle of simple interest. He declares that 300 pieces of the item can be obtained immediately against cash payment, but a customer will get only 200 pieces of the item if he defers the payment for a year. What is the rate percentage of interest on the whole? 

विकल्प

• 30

• 25

• 50

• 40

Answer 1

50

Explanation:

No. of pieces obtained on cash payment = 300

And, No. of pieces obtained on defers the payment = 200

So, Principal = 200, S.l = 100

Time = 1 year, R = x%

So, S.l = `("PRT")/100`

⇒ `100 = (200 xx "x" xx 1)/100`

⇒ x = `100/2`

= 50%

∴ Rate percentage of interest = 50%