66
Q:

A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?

A) 3 months B) 6 months
C) 10 months D) 12 months

Answer:   C) 10 months



Explanation:

Let the total profit be Rs. z. Then,

B's share = Rs. 2z/3,  A's share = Rs. ( z - 2z/3 ) = Rs. z/3.

A : B = z/3 : 2z/3 = 1:2

Let the total capital be Rs, X and suppose B's money was used for x months. Then.

(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .

 Thus, B's money was used for 10 months.

Q:

Two persons K and L enter into a business by investing their sum in the ratio of 7 : 9. After 7 months, L leaves the business. After eleven month, if total profit is Rs. 2460, what is the profit share of L (in Rs)?

A) Rs, 1109 B) Rs. 1107
C) Rs. 1111 D) Rs. 1113
 
Answer & Explanation Answer: B) Rs. 1107

Explanation:

From the given data,

K's profit : L's profit = 7x x 11 : 9x x 7

= 11:9

Therefore, L's profit = 9 x 2460/20 =  Rs. 1107

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3 291
Q:

Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?

A) 26,250 B) 19,200
C) 18,650, D) 15,200
 
Answer & Explanation Answer: D) 15,200

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given Rushi's one year profit = Rs. 5600

=> Let the total profit = Rs. P

Then,

P x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

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2 547
Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000 B) Rs. 6200
C) Rs. 8100 D) R. 7600
 
Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> 12000012p = 60003000 => p= Rs. 5000

Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

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5 1291
Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564 B) 1600
C) 1632 D) 1714
 
Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = 75100 x P = 3P4

M's share = 54 x 3P4 = 15P16

15P16 + 3P4 + P = 4300=> P = 4300 x 1643 = 1600 

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11 1157
Q:

A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B’s share is Rs. 9000, find the overall profit?

A) Rs. 23,500 B) Rs. 19,780
C) Rs. 21,700 D) Rs. 20,050
 
Answer & Explanation Answer: A) Rs. 23,500

Explanation:

Given A & B in partnership

A Invests 116000 for 12 months 

=> A's share = 116000 x 12 = 13,92,000

B Invests for 6 months

=> B's share = 144000 x 6 = 8,64,000

Their Ratio = 1392 : 864 = 29 : 18

Let the Annual profit = P

Given B's share = Rs. 9000

=> 18/47 x P = 9000

=> P = 9000 x 47/18

=> P = 23,500

Hence, Overall profit = P = Rs. 23,500

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11 1291
Q:

A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share?

A) Rs. 4050 B) Rs. 2121
C) Rs. 5040 D) Rs. 3550
 
Answer & Explanation Answer: A) Rs. 4050

Explanation:

Let the ratio amount be 'p'

7p - 3p = 2700

4p = 2700

p = 675

R's Share = 675 × 6 = Rs. 4050

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14 1943
Q:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit  ? 

A) Rs. 8,640 B) Rs. 9,850
C) Rs. 10,000 D) Rs. 11,220
 
Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12

= 36 : 36 : 48

= 6 : 6 : 8

But given that the annual profit of B is Rs. 3000

=> 6 ratio = 3000

Then for the total annual profit of partners is

20 ratio = 3000 x 20/6 = 10,000.

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12 2560
Q:

A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ?

A) Rs. 450 B) Rs. 1020
C) Rs. 765 D) Rs. 1530
 
Answer & Explanation Answer: D) Rs. 1530

Explanation:

Ratio of investments of A, B & C =>

bank

Share of C = 1530

Share of B = 765

Share of A = 1020

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13 2874