Question

Umesh goes on a tour of three cities of Malaysia. In every city, he spends Rs. 40 more than 1/4th of the money he has with him. At the end of the tour, Umesh has only Rs. 16400 left with him. Find the amount with him before he started the tour of Malaysia.
1. Rs. 38672
2. Rs. 44351
3. Rs. 35436
4. Rs. 38981
5. Rs. 38781

Answer 1

Correct Answer - Option 4 : Rs. 38981

Calculation:

Let the amount with Umesh, before he started the trip to Malaysia be x.

In the first city he spends = x/4 + 40

He would be left with = x – (x/4 + 40)

⇒ 3x/4 – 40

In the second city he spends = ¼(3x/4 - 40) + 40

⇒ 3x/16 + 30

He would be left with = (3x/4 - 40) – (3x/16 + 20)

⇒ 9x/16 – 60

In the third city he spends = ¼(9x/16 - 60) + 40

⇒ 9x/64 + 15

He would be left with = (9x/16 - 60) – (9x/64 + 15)

⇒ 27x/64 – 45

∴ total amount left with him = 16400

⇒ 27x/64 – 45 = 16400

⇒ 27x/64 = 16445

⇒ x = (16445 × 64)/27

⇒ x = 38980.74 ≈ Rs. 38,981

The amount with Umesh before he started the tour of Malaysia is Rs. 38,981.