Multiple choice

According to the will, the wealth of Rs 110400 was to be divided between the son and the daughter in the ratio 2/3 : 5/4. Find the difference of share of son and daughter. वसीयत के मुताबिक 110400 रुपये की संपत्ति बेटे और बेटी के बीच 2/3: 5/4 के अनुपात में विभाजित की जानी थी। बेटे और बेटी के हिस्से का अंतर ज्ञात कीजिये।

  1. 32800 Rs./रुपये

  2. 40200 Rs./रुपये

  3. 33600 Rs./रुपये

  4. 31400 Rs./रुपये

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

The correct answer is C. First, simplify the ratio 2/3 : 5/4 to get whole numbers. Multiplying both fractions by 12 (LCM of 3 and 4): (2/3) × 12 : (5/4) × 12 = 8 : 15. This means the wealth is divided in the ratio 8:15 between son and daughter. Total parts = 8 + 15 = 23. Total wealth = Rs 110,400. Value of one part = 110400 ÷ 23 = Rs 4,800. Son's share = 8 × 4800 = Rs 38,400. Daughter's share = 15 × 4800 = Rs 72,000. Difference = 72000 - 38400 = Rs 33,600. Option A (32800), B (40200), and D (31400) are incorrect.