Question

b) Jay and Rohan have an equal amount of money in their pockets. Jay gave 25% of his
money to Rohan as a birthday gift. Then, Rohan spent 50% of his total money
on purchasing some books. If the money left with Rohan is 4,500, find the
amount spent by him on purchasing the books.​

Answer 1

Given data:

• Jay and Rohan have an equal amount of money in their pockets.
• Jay gave 25% of his money to Rohan as a birthday gift.
• Rohan spent 50% of his total money on purchasing some books.
• The money left with him is Rs. 4500.

To find: the amount spent by Rohan on purchasing the books

Step-by-step solution:

Condition 1.

Jay and Rohan have an equal amount of money in their pockets.

Let Jay and Rohan had Rs. x each in their pockets.

Condition 2.

Jay gave 25% of his money to Rohan as a birthday gift.

25% of Rs. x = Rs. x * 25/100 = Rs. x/4

Now Rohan has a total of Rs. (x + x/4) = Rs. 5x/4

Condition 3.

Rohan spent 50% of his total money on purchasing some books.

Then the amount spent in purchasing some books is

= Rs. 5x/4 * 50/100

= Rs. 5x/8

So the money left with him is

= Rs. (5x/4 - 5x/8)

= Rs. 5x/8

Condition 4.

The money left with him is Rs. 4500.

By the given condition,

5x/8 = 4500

or, 5x = 36000

or, x = 36000/5

or, x = 7200

Hence the amount spent by Rohan on purchasing books is

= Rs. 5/8 * 7200

= Rs. 4500.