Arun spends 20% of his income on food, 40% of the rest income is on travel

Q. Arun spends 20% of his income on food, 40% of the rest income is on travel. Amount spends by Arun on entertainment is twice of his savings. Finally, he spends Rs. 3360 on household use. Find the amount spends by Arun on Travel, if he saves 3/25 of his total income.

A.Rs. 6720

B.Rs. 10080

C.Rs. 9860

D.Rs. 8960

E. None of these

Sol:

Let total income of Arun = 100a
Amount spend on food = 20% x 100a = 20a
Amount spends on travel = 40% x (100a – 20a)
= 32a
Savings of Arun = 3/25 x 100a = 12a
Amount Spends by Arun on Entertainment = 2 x
12a = 24a
Amount spends by Arun on households = 100a –
(20a + 32a + 12a + 24a) = 12a
Now,
12a = 3360
Value of a = 3360/12 = 280
Amount Spends by Arun on Travel = 32a = 32 x
280 = Rs.8960
Hence Answer is Option D