Question

A's income is 25% more than B's and B's income is 8% more than C's. if A's income is ₹2250 then find the income of C.


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Answer 1

Answer:

The income of C is Rs. 1667.

Step-by-step explanation:

Let C's income be y.

B's income = y + (8% of y)

= y + 8/100 × y

= y + 4y/50

= y + 2y/25

= (25y + 2y)/25

= 27y/25

A's income = (27y/25) + 25% of 27y/25

= 27y/25 + (25/100 × 27y/25)

= 27y/25 + 27y/100

= (108y + 27y)/100

= 135y/100

A's income = Rs. 2250

So,

2250 = 135y/100

2250 × 100 = 135y

225000 = 135y

y = 225000/135

y = 1667 (approx)

Income of C = Rs. 1667

Therefore, the income of C is Rs. 1667.

Answer 2

Given :-

A's income is 25% more than B's and B's income is 8% more than C's. if A's income is ₹2250

To Find :-

Income of C

Solution :-

Let, the income of C be x

Income of B = x + 8% of x

Income of B = x + 8/100 × x

Income of B = x + 8x/100

Income of B = 100x + 8x/100

Income of B = 108x/100

Income of A = Income of B + 25% of Income of B

Income of A = 108x/100 + 25/100 × 108x/100

Income of A = 108x/100 + 1/4 × 108x/100

Income of A = 108x/100 + 108x/400

Income of A = 432x + 108x/400

Income of A = 540x/400

But, it is given that income of A is 2250

2250 = 540x/400

2250 × 400 = 540x

900000 = 540x

900000/540 = x

1666.66 = x