Multiple choice

On dividing a sum of $Rs. 832$ between $A$ and $B$ in the ratio $\dfrac {1}{3}:\dfrac{1}{5}$ their shares are________.

  1. $Rs. 520, \,Rs. 312$
  2. $Rs. 500, \,Rs. 332$
  3. $Rs. 530, \,Rs. 302$
  4. $Rs. 490, \,Rs. 342$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The ratio 1/3 : 1/5 is equivalent to 5:3. Total parts = 8. A's share = (5/8) * 832 = 520. B's share = (3/8) * 832 = 312.

AI explanation

To divide the sum in the ratio 1/3 : 1/5, first multiply both terms by the least common multiple of 3 and 5 to clear the fractions. This gives the equivalent ratio of 5 : 3, meaning the total amount consists of 8 parts. The share for A is calculated as 5/8 of Rs. 832, which equals Rs. 520, and the share for B is calculated as 3/8 of Rs. 832, which equals Rs. 312. The shares are Rs. 520 and Rs. 312.

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