Question

A and B started a business by investing ₹48,000 and ₹72,000 respectively. After 6 months, A withdrew half of his capital, while B Increased his capital by ₹24,000. At the end of the year they earned a total profit of ₹55,000. What Is B's share in the profit.

• A. ₹26,500
• B. ₹28,000
• C. ₹38,500
• D. ₹36,000

Answer 1

Answer:

C. ₹38,500

Profit is divided according to capital × time.

A’s investment

• First 6 months: ₹48,000

$48{,}000 \times 6 = 288{,}000$

• After withdrawing half, investment becomes ₹24,000 for next 6 months

$24{,}000 \times 6 = 144{,}000$

Total for A:

$288{,}000 + 144{,}000 = 432{,}000$

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B’s investment

• First 6 months: ₹72,000

$72{,}000 \times 6 = 432{,}000$

• After increasing by ₹24,000, investment becomes ₹96,000 for next 6 months

$96{,}000 \times 6 = 576{,}000$

Total for B:

$432{,}000 + 576{,}000 = 1{,}008{,}000$

Profit ratio

$A : B = 432{,}000 : 1{,}008{,}000$

Divide by 144,000:

= 3 : 7

Total parts (= 10)

B’s share:

$\frac{7}{10} \times 55{,}000$

$= 38{,}500$