Discussion
A, B and C enter into a partnership with initial investments in the ratio f 1? After 6 months, C raised his share of investment by 75%. If the total profit after 12 months is Rs.52,030, then how much did A get as his share of profit?
Answer: D
A gets Rs. 15,400.
The ratio 7/3 : 9/4 : 12/5 becomes 140 : 135 : 144 over 60. After 6 months C raises his share by 75%, so C's investment is 144 for 6 months and 252 for the next 6 months. The shares are in proportion to investment times months: A 140 × 12 = 1680, B 135 × 12 = 1620, C 144 × 6 + 252 × 6 = 2376, a total of 5676.
\[ 52030\times\frac{1680}{5676}=15400 \]
The other amounts do not match this proportion.
Using the ratio of investment times time is the standard method for partnerships. The profit is divided in the ratio 1680 : 1620 : 2376, which simplifies to 140 : 135 : 198 and totals 473 parts. Each part is 52030 / 473 = 110, so A gets 140 × 110 = 15400.
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