Multiple choice

The total amount with Arvind, Mahesh and pravin is $Rs273$. The ratio of Arvind's amount to pravin's amount is $8 : 5$ and Pravin's amount is $\frac{10}{13}$ times of Mahesh's. How much more does Arvind have than Pravin?

  1. $Rs 56$
  2. $Rs 21$
  3. $Rs 42$
  4. $Rs 70$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A:P = 8:5. P = (10/13)M, so M = 1.3P. Total = A + P + M = 1.6P + P + 1.3P = 3.9P = 273. P = 70. A = (8/5)*70 = 112. Difference = 112 - 70 = 42.

AI explanation

The ratio of Mahesh's amount to Pravin's amount is 13 : 10. We know Arvind to Pravin is 8 : 5, which can be scaled to 16 : 10 to match Pravin's parts. The total parts are 16 (Arvind) + 13 (Mahesh) + 10 (Pravin) = 39 parts. With the total amount being Rs. 273, one part equals 273 / 39 = Rs. 7. The difference between Arvind and Pravin is 16 parts minus 10 parts = 6 parts, so Arvind has 6 * 7 = Rs. 42 more. Arvind has Rs. 42 more than Pravin.