Question 1

Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?

Accepted Answer

Let Veena paid x, so Akshitha paid 2x/3 , and Lasya paid 2x, So total bill paid is given by x+(2x/3) +2x = 1, we get i.e. x = 3/11

Question 2

Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?

Accepted Answer

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5) = 96 : 60 : 280. Let total rent be Rs. x. Then, A's share = R s . 96 x 436 ∴ 96 x 436 = 960 ⇔ x = 960 × 436 96 = 4360 Hence total rent of the field is Rs. 4360.

Question 3

R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?

Accepted Answer

Ratio of investments for 1 year => (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12) => (P : Q : R) = 28 : 39 : 60 Now R share = 190500 x 60/127 = Rs. 90000.

Question 4

Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After…

Accepted Answer

27848

Question 5

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

Accepted Answer

Now as per question, Karan invested for 12 months and Satish invested for 7 months. So, Karan:Satish = (29000 x 12):(18000 x 7) = 348:126 = 58:21 Satish Ratio in profit will be= 16970 × 21 79 = Rs. 4511

Question 6

K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L?

Accepted Answer

Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio. Ratio of K and L is 16000 × 8 x × 4 = 5 2 x = Rs. 12,800.

Question 7

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

Accepted Answer

Let money invested by Raghu = Rs. x Money invested by Trishul = 9/10 x = 0.9x Money invested by Vishal = 9/10x * 110/100 = 0.99x Also, x+0.9x+0.99x = 5780 = x= 5780/2.89 = 2000 Therefore, amount invested by Raghu is Rs. 2000.

Question 8

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 prof…

Accepted Answer

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.

Question 9

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)?

Accepted Answer

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

Question 10

Rs. 2018 are to be divided among P, Q and R in such a way that if P gets Rs. 5 then Q must get Rs. 12 and if Q gets Rs. 4 then R must get Rs. 5.50. The share of R will exceed that of Q by

Accepted Answer

ATQ, P : Q = 5 : 12 = 10 : 24 Q : R = 4 : 5.5 = 24 : 33 P:Q:R = 10 : 24 : 33 Sum of the ratios = 10 + 24 + 33 = 67 Difference between the share of R & Q = (33-24/67 x 2018) = 9/67 x 2018 = Rs. 271.

Question 11

Dileep started a business with a capital of Rs. 8000. After six months, Narender joined him with some investment. If at the end of the year each of them gets equal amount as profit, how much did Narender invest in the business?

Accepted Answer

Given Dileep and Narender started a business. Dileep invested 8000 for 12 months Let Narender invested 'p' for 6 months At the end of the year, their profit ratio is 1 : 1. Hence, 8000 x 12 : p x 6 p : 16000 p/16000 = 1/1 => p = 16,000 Hence, Narender invested amount is Rs. 16,000.

Question 12

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

Accepted Answer

Given total sum = Rs. 427 And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. => 3A = 4B = 7C But given => A + B + C = 427 Now express A and B in terms of C i.e => (7C/3) + (7C/4) + C = 427 => C = 84

Question 13

A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?

Accepted Answer

Let the total amount in the partnership be 'x'. Then A's share = x/3 B's share = x/4 C's share = x/5 D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

Question 14

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

Accepted Answer

7x5: 5xk = 7:10 k = 10 months

Question 15

A, B and C started a company where their initial investments 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 B's initial capital investment. If the annual profit of B is Rs. 3000 th…

Accepted Answer

Given initial investments ratio = 2 : 3 : 4 At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment Now, Ratio of investment for one year => A : B : C = (2×6 + 3×6) : (3×12) : (4×12) = 30 : 36 : 48 = 5 : 6 : 8 But given B's profit = 3000 => 6 ratio = 3000 For total => 19 ratio = Rs. 9500.

Question 16

Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared …

Accepted Answer

Profit received by Chinna as working partner = 14.5% of Rs. 19600 = 14.5x19600/100 = Rs. 2842 Balance in profit = 19600-2842 = Rs. 16758 Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7 Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85 Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15

Question 17

Rs 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?

Accepted Answer

31350

Question 18

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investment…

Accepted Answer

Rs. 1500

Question 19

Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?

Accepted Answer

Let the lent at 5% be 'A' (A x 5 x 1)/100 + [(1500 - A)x 6 x 1]/100 = 85 5A/100 + 90 – 6A/100 = 85 A/100 = 5 => A = 500

Question 20

A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

Accepted Answer

Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000 × 12 42500 × x = 3 1 --> x = 8 months.

Partnership Questions