$A$ began a business with Rs. $85, 000$ . He was joined afterwards by $B$ with Rs. $42, 500$ . For how much period does $B$ join, if the profits at the end of the year are divided in the ratio of $3 : 1$ ?

4

months

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5

months

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6

months

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8

months

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Solution

The correct option is D $8$ months
Suppose $B$ joined for $x$ months.
Then, $(\frac{85000 \times 12}{42500 \times x} = \frac{3}{1})$
$\Rightarrow x = (\frac{85000 \times 12}{42500 \times 3}) = 8$ .
So, $B$ joined for $8$ months.

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(2) 6 month

(3) 8 month

(4) 3 month

Q. A began a business with Rs.

85000

. He was joined afterwards by B with Rs.

42500

. For how much period does B join if the profit at the year is divided in the ratio of

3 : 1

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A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3:1?

The correct option is D 8 monthsSuppose B joined for x months.Then, (85000×1242500×x=31)⇒x=(85000×1242500×3)=8.So, B joined for 8 months.

$A$ began a business with Rs. $85, 000$ . He was joined afterwards by $B$ with Rs. $42, 500$ . For how much period does $B$ join, if the profits at the end of the year are divided in the ratio of $3 : 1$ ?

The correct option is D $8$ months
Suppose $B$ joined for $x$ months.
Then, $(\frac{85000 \times 12}{42500 \times x} = \frac{3}{1})$
$\Rightarrow x = (\frac{85000 \times 12}{42500 \times 3}) = 8$ .
So, $B$ joined for $8$ months.