# What is The Amount Paid by D? If

A, B, C and D purchase a gift worth Rs.60. A pays 1/2 of what others are paying, B pays 1/3rd of what others are paying and C pays 1/4th of what others are paying. What is the amount paid by D?

- 14
- 15
- 16
- 13

**Answer: (4) 13**

**Explanation:-**

Let be the A, B, C & D pays Rs.P, Rs.Q, Rs.R & Rs.S.

According to the question,

P = (Q + R + S)/2 …………………. (1)

Q = (P + R + S)/2 ………………….. (2)

R = (P + Q + S)/2 …………………… (3)

Total purchase a gift worth = Rs.60

Then, P + Q + R + S = 60

Now, put the value of P + Q + S ,

Then, 4 R + R = 60

5 R = 60

R = 12

Same as, on putting the values of P + R + S ,

3 Q + Q = 60

4Q = 60

Q = 60/4

Q = 15

Again putting value of

(Q + R + S ,

2 P + P = 60

3 P = 60

P = 60/3

P = 20

Now, P + Q + R + S = 60

On putting value of P, Q, R, we get

12 + 15 + 20 + S = 60

S = 60 – 47

S = 13

Hence, D pays Rs.13.