Multiple choice

A certain amount was to be distributed among A, B and C in the ratio 2 :3 :4 respectively, but was erroneously distributed in the ratio 7:2:5 respectively. As a result of this, B got Rs 40 less. What is the amount? एक निश्चित राशि को क्रमशः 2 : 3 : 4 के अनुपात में A, B और C के बीच वितरित किया जाना था, लेकिन गलती से क्रमशः 7: 2: 5 के अनुपात में वितरित किया गया था। इसके परिणामस्वरूप, B को 40 रुपये कम मिले। राशि क्या है?

  1. 270

  2. 280

  3. 210

  4. 230

  5. None of these इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Correct ratio is 2:3:4 (total 9 parts). B should get 3/9 = 1/3 of amount. Incorrect ratio is 7:2:5 (total 14 parts). B actually got 2/14 = 1/7 of amount. Difference = 1/3 - 1/7 = 4/21 of amount = Rs 40. So amount = 40 × 21/4 = Rs 210.