X, Y, Z jointly engaged in a business. It was agreed that X would invest Rs. 14500 for 4 months,Y Rs 19000 for 7 months and Z Rs 25000 for 6 months. X wants to be a working partner and he was to receive 14% of the profit and total profit earned by X was Rs 43929. Calculate share of Z A) 55750 B) 58472 C) 67500 D) 65250

1 Answer

Answer :

Answer: C)

 Ratio of X, Y, Z profit is 14500*4:19000*7:25000*6=58:133:150

 Total profit be’ a’

 X receives 14% of a as profit for active partner

 Remaining profit=86% of a

 X’s total profit=[86/100*a*58/341]+14/100*a=43929

 9762/34100*a=43929 => a= Rs.153450

 Share of Z =153450/341*150 =Rs 67500

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Description : Meenu invested Rs.38000 in a business. After few months, ruba joined her with Rs.28500. At the end of the year, the total profit was divided between them in the ratio 2:1. After how many months did ruba joined? A) 2 months B) 3 months C) 4 months D) 5 months

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Description : A Shop makes a profit of Rs. 85000 of which 15% as paid as taxes. If the rest is divided among the partners A,B,C in the ratio 8:7:6 then the total share of A and B is A) 54780 B) 51607 C) 56803 D) None

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Description : Jaya and sona invested amount of Rs 10000 and Rs 5000 respectively in their business. What percentage of the share of the profit that should be given to Jaya such that ratio of income is equal for both at the end of year? A) 5 B) 7 C) 4 D) 6

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Description : X is a working and Y is sleeping partners in a business. X puts in Rs. 2500 and Y puts in Rs.3000. X receives 25/2% of the profit for managing the business and the rest is divided in proportion to their capital. What does Y get out of a profit of Rs. 440? A) 210 B) 200 C) 250 D) 275

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Description : Ajay and vijay entered into business with capital in ratio of 5:7.after 5 months Ajay withdraws 4/7 th of his capital and vijay withdraws 2/7th of his capital. At the end of 8months there was a profit of Rs 4470. Then find the profit A) 3678. B) 2000. C) 4000. D) 1500

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Description : A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ? A.Rs.420 B.Rs. 300 C.Rs.400 D.Rs.350

Last Answer : Answer- C(Rs.400) Explanation : Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x so, we can write: A : B :C =(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6 B’s share= (8/21) x 1050 = 400

Description : Dhivya, Dinesh and Deepi enter into a partnership and their shares are in the ratio 1/3 :1/4 :1/5. After 2 months, dhivya withdraws half of her capital and after 10 months, a profit of Rs. 462 is divided among them, what is Deepi’s share? A) 123.56 B) 165.45 C) 143.3 D) 146.43

Last Answer : Answer: C) Ratio of initial investments = 1/3 : 1/4 : 1/5 = 20 :15 :12 Let their initial investments be 20x, 15x and 12x respectively Dhivya: Dinesh :Deepi = (20x *2 +10x *10) : (15x *12) : (12x*12) =140x : ... 70:90:72 = 35 : 45 :36 Deepi s share = Rs.462 * 36/116 = Rs(16632/116) =Rs.143.3

Description : Mano, kajal, kavin enter into partnership. Mano invests some money at the beginning kajal invests double the amount for 8 months and kavin invests thrice the amount for 10 months. If the annual profit be Rs.35000 then kavin’s share is approximately A) Rs. 17567 B) None C) Rs. 12985 D) Rs. 19274

Last Answer : Answer: B) Let mano’s investment be Rs x Then Ratio of capitals = (x*12) : (2x:8) : (3x*10) = 12x : 16x : 30x = 6:8: 15 Kavin’s share = Rs.(35000*15/29) = Rs.18103.

Description : Agalya started a work with Rs. 144000 and after 3months Bhuvana joined with her the amount of Rs. 116000. At the end of the year bhuvana received a profit of Rs.20960 including 16% as a commission for ... earned by agalya at the end of the year approximately? a) 22045 b) 23040 c) 21450 d) 24500

Last Answer : Answer: B) Ratio of agalya & bhuvana 144000*12: 116000*9= 48:29 Let the total profit be Z. Profit earned by bhuvana =16 % of Z+ 29/77 of 84 % of Z=20960 524Z= 20960 * 100 *11 => Z= Rs.44000. Total profit by agalya =48/77 *84/100 *44000 = Rs.23040.

Description : P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 ... after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Last Answer : Answer: A)  Ratio of P, Q &R is , 15000*7+7500* 8:12500*5+2500* 10:10000*x+15000*(15-x)  P: Q: R=66:35:9-2x  Profit of Q = (profit of P + profit of R)/2  35 = (66 +9 -2x)/2  X=2.5 months

Description : In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q  receive ? A.Rs.650 B.Rs.688 c.Rs.588 D.Rs.490

Last Answer : Answer- B(Rs.688 ) Solution : P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1 P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3 or, P : Q : R = 6 : 4 : 3 Q’s share= 4/13 x 2236=Rs.688