Partnership Ques 39
Question
Two persons A and B start a business with investments of ₹ 24000 and ₹ 28000 respectively. After 4 months $C$ also joined them with certain investment. Total profit at the end of the year was ₹ 19950 . C’s share in profit was ₹ 7600 . What was the C’s investment in the business?
(1) ₹ 48000
(2) ₹ 45000
(3) ₹ 50000
(4) ₹ 40000
(5) None of these
(IBPS Bank PO/MT CWE-IV)
Show Answer
Answer: (1)
Solution: (1)
‘C’s investment $= \text{₹} x$ thousand
$\therefore$ Profit ratio of A, B and C $=12 \times 24000: 12 \times 28000: 8 \times x \times 1000=36: 42: x$
Sum of the ratios $=36+42+x$ $=78+x$
$\therefore$ ‘C’s share $=\frac{x}{78+x} \times 19950$
$\Rightarrow \frac{19950 x}{78+x}=7600$
$\Rightarrow 1995 x=760 \times 78+760 x$
$\Rightarrow 1995 x-760 x=760 \times 78$
$\Rightarrow 1235 x=59280$
$\Rightarrow x=\frac{59280}{1235}= \text{₹} 48$ thousand
BETA
