Multiple choice

John, Tom and Sachin collected Rs. 6,670. If their collected amounts were decreased by Rs. 40, Rs. 50 and Rs. 60, respectively, then their remaining amounts would be in the ratio of 1 : 3 : 4. Calculate the amount of money collected by Sachin.

  1. Rs. 3,100

  2. Rs. 3,220

  3. Rs. 3,320

  4. .Rs. 3,520

  5. Rs. 3,890
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the remaining amounts be 1k, 3k, and 4k. Total = 1k + 3k + 4k = 8k. The original total was 6670, and the total reduction was 40 + 50 + 60 = 150. So 8k = 6670 - 150 = 6520, which means k = 815. Sachin's amount = 4k + 60 = 4(815) + 60 = 3260 + 60 = 3320.

AI explanation

The total amount left after the decreases is 6670 - (40 + 50 + 60) = 6520. The new ratio of their amounts is 1 : 3 : 4, making the total number of parts 1 + 3 + 4 = 8. One part equals 6520 / 8 = 815, meaning Sachin's remaining amount is 4 * 815 = 3260. Adding back the Rs. 60 that Sachin lost gives his original collected amount of 3260 + 60 = Rs. 3,320.

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