Question

A man engaged a servant on the condition that he would pay him Rs. 90 and also give him a gift voucher after service
of one year. He served only for nine months and received gift voucher and Rs. 65. Find the value of the gift voucher in
rupees
A. 10
B. 9
C. 0
D. 2.5​

Answer 1

Answer:

option (A) 10

Step-by-step explanation:

let the gift voucher be, X

Then the total income for 1 year (12 months)=Rs.(90+X)

the income for 9 months = {(90+X)÷12}×9 = (3X+270)÷4

given,(3X+270)÷4= 65+X

or, 3X+270= 4(65+X)

or, 3X+270=260+4X

or, 270-260=4X-3X

or, 10 = X

So, the value of the gift voucher is Rs.10.