Question

A writer gets a fixed amount for his book apart from the royalty that he gets

per book sold. He gets Rs. 30000 and Rs. 50000 for 1000 and 2000 books sold

respectively. What is his income per book, if 5000 books are sold?

(a) 32 (b) 22 (c) 18 (d) 25​

Answer 1

Answer:

d)25

Step-by-step explanation:

hope u undertstand this is only the answer

Answer 2

The income per book when 5000 books are sold is 22

Given :

• A writer gets a fixed amount for his book apart from the royalty that he gets per book sold.

• He gets Rs. 30000 and Rs. 50000 for 1000 and 2000 books sold respectively

To find :

The income per book when 5000 books are sold is

(a) 32

(b) 22

(c) 18

(d) 25

Solution :

Step 1 of 3 :

Form the equation

Let fix amount = Rs. x and royalty per book the writer sold = Rs. y

It is given that the writer gets Rs. 30000 when 1000 books are sold

∴ x + 1000y = 30000

Again the writer gets Rs. 50000 when 2000 books are sold

∴ x + 2000y = 50000

So the system of equations are

x + 1000y = 30000 - - - - - - (1)

x + 2000y = 50000 - - - - - - (2)

Step 2 of 3 :

Find the value of x and y

x + 1000y = 30000 - - - - - - (1)

x + 2000y = 50000 - - - - - - (2)

Equation 2 - Equation 1 gives

1000y = 20000

⇒ y = 20000/1000

⇒ y = 20

Putting y = 20 in Equation 1 we get

x + (1000 × 20) = 30000

⇒ x + 20000 = 30000

⇒ x = 30000 - 20000

⇒ x = 10000

Step 3 of 3 :

Calculate income per book when 5000 books are sold

The total income when 5000 books are sold

= Rs. [ x + 5000y ]

= Rs. [ 10000 + (5000 × 20) ]

= Rs. [ 10000 + 100000 ]

= Rs. 110000

∴ The income per book when 5000 books are sold

$\displaystyle \sf{ =Rs. \: \: \frac{110000}{5000} }$

$\displaystyle \sf{ =Rs. \: 22 }$

Hence the correct option is (b) 22

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