IBPS Bank Clerk Numerical Ability Solved Paper
1 A , B & C started a business by investing Rs 1,20,000 , Rs 1 , 35 , 000 & Rs 1,50,000 respectively . Find the share of each , out of the annual profit of Rs 56, 700
(a) 16800 , 18900 , 21000 (b) 16800 , 18900 , 25000
(c) 16850 , 18900 , 21000 (d) 16820 , 18500 , 21000
2 A , B , C start a business each investing Rs 20,000 . After 5 month A withdrawal Rs 5000 , B withdrawal Rs 4000 & C invests Rs 6000 more . At the end of the year , a total profit of Rs 69900 was recorded . Find the share of each .
(a) 20500 , 21200 , 28200 (b) 20501 , 21202 , 22200
(c) 28500 , 21200 , 28200 (d) 20500 , 21200 , 28200
3 A invested Rs 76000 in a business . After few month , B joined him with Rs 57000 . At the end of the year , the total profit was divided between them in the ratio 2 : 1 . After how many months did B join .
(a) 4 (b) 5
(c) 6 (d) 7
4 Anand & Deepak started a business investing Rs 22,500 & 35,000 . Out of a total profit of Rs 13,800, Deepak’s share is
(a) 5400 (b) 7200
(c) 8400 (d) 9600
5 Reena & Shaloo are partner in a business . Reena invests Rs 35,000 for 8 months & Shaloo invests Rs 42,000 for 10 months . Out of a profit of 31,570 , Reena’s share is
(a) 9471 (b) 12,628
(c) 18040 (d) 18492
6 Aman started a business investing Rs 70000 . Rakhi joined him after six months with an amount of Rs 105000 & Sagar joined
Them with Rs 1.4 Lakh after another six months . The amount of profit earned should be distributed in what ratio among Aman , Rakhi & Sagar respectively , 3 years after Aman started a business ?
(a) 7 : 6 : 10 (b) 12 : 15 : 16
(c) 42 : 45 : 56 (d) can’t determine (e) none of these
7 A, B , C enter into a partnership . A initially invests 25 lakh & adds another 10 lakhs after one year . B initially invests 35 lakh & withdrawal 10 lakh after 2 years & C invests Rs 30 Lakhs . In what ratio shoud the profit be divided at the end of 3 years ?
(a) 10 : 10 : 9 (b) 20 : 20 : 19
(c) 20 : 19 : 18 (d) none of these
8 A , B , C invests 50000 in a business . A invests 4000 more than B & B Rs 5000 more than C . Out of a total profit of 35000 A receives
(a) 8400 (b) 11900
(c) 13600 (d) 14700
9 Three partners A , B , C start a business . twice A’s capital is equal to thrice B’s capital & B’s Capital is four times C’s capital Out of a total profit of Rs 16500 at the end of a year , B’s share is
(a) 4000 (b) 6000
(c) 7500 (d) 6600
10 In a business , A & C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A & B was 3 : 2 . If Rs 157300 was their profit , how much amount did B receive
(a) 24200 (b) 36300
(c) 48400 (d) 72600
11 A , B , C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After four months , A invested his share by 50 % . If the total profit at the end of one year be rs 21600, then B’s share in the profit is
(a) 2100 (b) 2400
(c) 3600 (d) 4000
12 X & Y invested in a business . They earned some profit which they divided in the ratio 2 : 3. If X invested Rs 40000 , the amount invested by Y is
(a) 45000 (b) 50000
(c) 60000 (d) 80000
13 A began a business with s 85000 . He was joined afterwards by with Rs 42500 . For how much period does B join , if the profits at the end of the years are divided in the ratio 3 : 1 ?
(a) 4 months (b) 5 months
(c) 6 months (d) 8 months
14 A & B start a business jointly . A invests Rs 16000 for 8 month & B remains in a business for 4 months . Out of total profit , B claims 2/7 of the profit . How much money was contributed by B ?
(a) 10500 (b) 11900
(c) 12800 (d) 13600
15 A & B invest in a business in the ratio 3 : 2 . If 5% of the total profit goes to charity & A’s share is 855 , the total profit is
(a) 1425 (b) 1500
(c) 1537.50 (d) 1576
16 If 4 ( A’s Capital ) = 6 ( B’s Capital ) = 10 ( C’s Capital ) , then out of the total profit of Rs 4650 , C will receive
(a) 465 (b) 900
(c) 1550 (d) none of these
17 A, B , C enter into a partnership . A invest some money at the beginning , B invests double the amount after six month & C invests thrice the amount after 8 months . If the annual profit be Rs 27000 , C’s share is
(a) 8625 (b) 9000
(c) 10800 (d) 11250
18 A & B started a partnership business investing some amount in the ratio 3 : 5 . C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A , B , C
(a) 3 : 5 : 2 (b) 3 : 5 : 5
(c) 6: 10 : 5 (d) data inadequate (e) none
19 A , B , C enter into a partnership & their share are in the ratio ½ : 1/3 : ¼ , after two months , A withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is B’s share
(a) 129 (b) 144
(c) 156 (d) 168
20 In a partnership , A invests 1/6 of the capital for 1/6 of the time , B invests 1/3 of the capitals for 1/3 of the time & C , the rest of the capital for the whole time , out of a profit of Rs 4600 , B’s share is
(a) 650 (b) 800
(c) 960 (d) 1000
21 A , B , C started a shop by investing Rs 27000 , 72000 , 81000 respectively . At the end of the year , the profit were distributed among them . If C’s share of profit be 36000 , then total profit was
(a) 80000 (b) 95600
(c) 108 000 (d) 116000
22 A & B started a business jointly , A’s investment was thrice the investment of B & the period of his investment was two times the period of investments of B . If B received Rs 4000 as profit , then their total profit is
(a) 16000 (b) 20000
(c) 24000 (d) 28000
23 Two friends started a business investing in the ratio 5 : 6 . R joined them after six months investing an amount equal to that of Q’s . At the end of year , 20 % profit was earned which was equal to 98000 . What was the amount invested by R
(a) 105 000 (b) 175000
(c) 210000 (d) Data Inadequate
(e) none
24 Three partner share the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months , 8 months , 7 months . What was the ratio of their investments ?
(a) 5:7: 8 (b) 28 : 49 : 64
(c) 38 : 28 : 21 (d) none
25 A & B partner in a business , A contribute ¼ of the capital for 15 months & B received 2/3 of the profit . For how many times B’s money was used
(a) 6 months (b) 9 months
(c) 10 months ( d) 1 years
(a) 16800 , 18900 , 21000 (b) 16800 , 18900 , 25000
(c) 16850 , 18900 , 21000 (d) 16820 , 18500 , 21000
2 A , B , C start a business each investing Rs 20,000 . After 5 month A withdrawal Rs 5000 , B withdrawal Rs 4000 & C invests Rs 6000 more . At the end of the year , a total profit of Rs 69900 was recorded . Find the share of each .
(a) 20500 , 21200 , 28200 (b) 20501 , 21202 , 22200
(c) 28500 , 21200 , 28200 (d) 20500 , 21200 , 28200
3 A invested Rs 76000 in a business . After few month , B joined him with Rs 57000 . At the end of the year , the total profit was divided between them in the ratio 2 : 1 . After how many months did B join .
(a) 4 (b) 5
(c) 6 (d) 7
4 Anand & Deepak started a business investing Rs 22,500 & 35,000 . Out of a total profit of Rs 13,800, Deepak’s share is
(a) 5400 (b) 7200
(c) 8400 (d) 9600
5 Reena & Shaloo are partner in a business . Reena invests Rs 35,000 for 8 months & Shaloo invests Rs 42,000 for 10 months . Out of a profit of 31,570 , Reena’s share is
(a) 9471 (b) 12,628
(c) 18040 (d) 18492
6 Aman started a business investing Rs 70000 . Rakhi joined him after six months with an amount of Rs 105000 & Sagar joined
Them with Rs 1.4 Lakh after another six months . The amount of profit earned should be distributed in what ratio among Aman , Rakhi & Sagar respectively , 3 years after Aman started a business ?
(a) 7 : 6 : 10 (b) 12 : 15 : 16
(c) 42 : 45 : 56 (d) can’t determine (e) none of these
7 A, B , C enter into a partnership . A initially invests 25 lakh & adds another 10 lakhs after one year . B initially invests 35 lakh & withdrawal 10 lakh after 2 years & C invests Rs 30 Lakhs . In what ratio shoud the profit be divided at the end of 3 years ?
(a) 10 : 10 : 9 (b) 20 : 20 : 19
(c) 20 : 19 : 18 (d) none of these
8 A , B , C invests 50000 in a business . A invests 4000 more than B & B Rs 5000 more than C . Out of a total profit of 35000 A receives
(a) 8400 (b) 11900
(c) 13600 (d) 14700
9 Three partners A , B , C start a business . twice A’s capital is equal to thrice B’s capital & B’s Capital is four times C’s capital Out of a total profit of Rs 16500 at the end of a year , B’s share is
(a) 4000 (b) 6000
(c) 7500 (d) 6600
10 In a business , A & C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A & B was 3 : 2 . If Rs 157300 was their profit , how much amount did B receive
(a) 24200 (b) 36300
(c) 48400 (d) 72600
11 A , B , C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After four months , A invested his share by 50 % . If the total profit at the end of one year be rs 21600, then B’s share in the profit is
(a) 2100 (b) 2400
(c) 3600 (d) 4000
12 X & Y invested in a business . They earned some profit which they divided in the ratio 2 : 3. If X invested Rs 40000 , the amount invested by Y is
(a) 45000 (b) 50000
(c) 60000 (d) 80000
13 A began a business with s 85000 . He was joined afterwards by with Rs 42500 . For how much period does B join , if the profits at the end of the years are divided in the ratio 3 : 1 ?
(a) 4 months (b) 5 months
(c) 6 months (d) 8 months
14 A & B start a business jointly . A invests Rs 16000 for 8 month & B remains in a business for 4 months . Out of total profit , B claims 2/7 of the profit . How much money was contributed by B ?
(a) 10500 (b) 11900
(c) 12800 (d) 13600
15 A & B invest in a business in the ratio 3 : 2 . If 5% of the total profit goes to charity & A’s share is 855 , the total profit is
(a) 1425 (b) 1500
(c) 1537.50 (d) 1576
16 If 4 ( A’s Capital ) = 6 ( B’s Capital ) = 10 ( C’s Capital ) , then out of the total profit of Rs 4650 , C will receive
(a) 465 (b) 900
(c) 1550 (d) none of these
17 A, B , C enter into a partnership . A invest some money at the beginning , B invests double the amount after six month & C invests thrice the amount after 8 months . If the annual profit be Rs 27000 , C’s share is
(a) 8625 (b) 9000
(c) 10800 (d) 11250
18 A & B started a partnership business investing some amount in the ratio 3 : 5 . C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A , B , C
(a) 3 : 5 : 2 (b) 3 : 5 : 5
(c) 6: 10 : 5 (d) data inadequate (e) none
19 A , B , C enter into a partnership & their share are in the ratio ½ : 1/3 : ¼ , after two months , A withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is B’s share
(a) 129 (b) 144
(c) 156 (d) 168
20 In a partnership , A invests 1/6 of the capital for 1/6 of the time , B invests 1/3 of the capitals for 1/3 of the time & C , the rest of the capital for the whole time , out of a profit of Rs 4600 , B’s share is
(a) 650 (b) 800
(c) 960 (d) 1000
21 A , B , C started a shop by investing Rs 27000 , 72000 , 81000 respectively . At the end of the year , the profit were distributed among them . If C’s share of profit be 36000 , then total profit was
(a) 80000 (b) 95600
(c) 108 000 (d) 116000
22 A & B started a business jointly , A’s investment was thrice the investment of B & the period of his investment was two times the period of investments of B . If B received Rs 4000 as profit , then their total profit is
(a) 16000 (b) 20000
(c) 24000 (d) 28000
23 Two friends started a business investing in the ratio 5 : 6 . R joined them after six months investing an amount equal to that of Q’s . At the end of year , 20 % profit was earned which was equal to 98000 . What was the amount invested by R
(a) 105 000 (b) 175000
(c) 210000 (d) Data Inadequate
(e) none
24 Three partner share the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months , 8 months , 7 months . What was the ratio of their investments ?
(a) 5:7: 8 (b) 28 : 49 : 64
(c) 38 : 28 : 21 (d) none
25 A & B partner in a business , A contribute ¼ of the capital for 15 months & B received 2/3 of the profit . For how many times B’s money was used
(a) 6 months (b) 9 months
(c) 10 months ( d) 1 years
Answers
1(a) , 2(a) , 3(a) , 4 (c) , 5(b) , 6(b) , 7 (d) , 8 (d) , 9 (b) , 10 (c) , 11 ( d ) , 12 (c) , 13 (d) , 14 (c) , 15 (b) 16 (b) 17 (b) 18 (c) 19 (b) 20 (b) 21 (a) 22 (d) 23 (c) 24 (d) 25 (c)
Answers with Explanation :-
Q-1 Ratio of shares A , B , C = ratio of their investments = 120000 : 135000 : 150000 = 8 : 9 : 10
8/27 ) = 16800´A’s share = ( 56700
9/27 ) = 18900´B’s share = ( 56700
10/27 ) = 21000´C’s share = ( 56700
7´ 5 + 26000 ´ 7 : 20000 ´ 5 + 16000 ´ 7 : 20000 ´ 5 + 15000 ´Q-2 Ratio of the capitals of A , B , C = 20000
205000 : 212000 : 282000 = 205 : 212 : 282
A’s share = ( 205/699) = 20500´69900
212 / 699 ) = 21200´B’s share = (69900
282/699 ) = 28200´C’s share = ( 69900
Q-3 Let B joined after x month . Then, B’s money was invested for ( 12 – x ) month
{ 12 – x }) = 2/1´ 12 ) / ( 57000 ´( 76000
912000 = 114000 ( 12 – x ), 912 = 114 ( 12 – x ) , x = 4
Hence , B joined after 4 months .
Q-4 Ratio of their share = 22500 : 35000 : = 9 : 14
14 /23 ) = 8400´Deeepak share = ( 13800
10 ) = 2 : 3´ 8 ) : ( 42000 ´Q-5 Ratio of their shares = ( 35000
2/5) = 12628´Reena’s share = ( 31570
24 ) = 12 : 15 : 16´ 30 ) : ( 140000 ´ 36 ) : ( 105000 ´Q-6 Aman : Rakhi : Sagar = ( 70000
3 )´ 1 ) : ( 30 lakh ´ 2 + 25 lakh ´ 2 ) : ( 35 lakh ´ 1 ) : ( 35 lakh ´Q-7 A : B : C = ( 25 lakh
95 lakh : 95 lakhs : 90 lakhs = : 19 : 19 : 18
Q-8 Let C = x . Then B = ( x + 5000 ) & A = x + 5000 + 4000 = x + 9000
So , x + x + 5000 + x + 9000 = 50000 , 3x = 36000 , x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12
21 50 ) = 14700´A’s share ( 35000
Q-9 Let C = x . Then B = 4x & 4x = 12x or A = 6x´2A = 3
A : B : C = 6x : 4x : x = 6 : 4 : 1
4/11 ) = 6000´So B’s capital = ( 16500
Q-10 A : B = 3 : 2 , B : A = 2 : 3 = 4 : 6 & A : C = 2 : 1 = 6 : 3
So B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3
4/13 ) = 48400´B’s share = ( 157300
Q-11 Ratio of initial investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let the initial investments be 105 x , 40x , 36x
8 )´ 4 + 5x/2 ´ 8 ) : ( 5x ´ 105x ´ 4 + 150/100 ´A : B : C = ( 105x
1680x : 480x : 432x = 35 : 10 : 9
10/54 ) = 4000´Hence B’s share = ( 21600
Q-12 Let Y invested Rs y . Then 40000 /y = 2/3 or y = 60000
x = 3/1´ 12 ) / 42500 ´Q-13 Let B joined for x month . Then ( 85000
x = 8 , so B joined for 8 month .
Q-14 Let the total profit be x , then B = 2x/7 & A = ( x – 2x/7 ) = 5x/7
So A : B = 5x/7 : 2x /7 = 5 : 2
4 ) = 5/2 , y = 12800´ 8 ) / ( y ´Let B’s capital be Rs y . Then , ( 16000
Q-15 Let the total profit be Rs 100
´After paying to charity , A’s share = ( 95 3/5 ) = 57
If A’s share is 57 , then total profit = 100
855 ) = 1500´If A’s share is 855 , total profit = ( 10057
Q-16 Let 4A = 6B = 10 C = k
Therefore we can say that A = k/4 , B = k /6 , C = k /10
A : B : C = k/4 : k/6 : k /10 = 15 : 10 : 6
6 / 31) = 900´Therefore we can say that C’s share is = ( 4650
Here we use 6 because C’s ratio is 6
Q-17 Let A’s investments be x
4 ) = 12x : 12x : 12x = 1: 1: 1´ 6 ) : ( 3x ´ 12 ) : ( 2x ´Then , ratio of capitals = ( x
1 / 3) = 9000´Therefore C’s share is = ( 27000
Q-18 Let the initial investments of A & B is 3x & 5x
6 ) = 36 : 60 : 30 = 6 : 10 : 5´ 12 ) : ( 5x ´ 12 ) : ( 5x ´A : B : C = ( 3x
Q-19 Ratio of initial investments = ½ : 1/3 : ¼ = 6 : 4 : 3
Let their initials investments be 6x , 2x , 3x
12 ) = 42 : 48 : 36 = 7 : 8 : 6´ 12 ) : ( 3x ´ 10 ) : ( 4x´ 2 + 3x ´A : B : C = ( 6x
8 /21 ) = 144´B’s share is = ( 378
Q-20 Let A’s investments x /6 for y /6 months . Then , B’s investments is Rs x / 3 for y/3 months.
C invests[ x – (x/6 + x/3)] i. e., Rs. x/2 for y months.
y) = 1/36 : 1/9 : ½ = 1 : 4 : 18.´ y/3) : (x/2 ´ y/6) : (x/3 ´There for A:B:C = (x/6
4/23 ) = Rs. 800.´Hence, B’s share = Rs. (4600
Q-21 A : B : C = 27000 : 72000 : 81000 = 3 : 8 : 9. So, C’s share : Total profit = 9 : 20.
20 / 9) = 80000.´Let the total profit be Rs x. Then, 9 / 20 = 36000 / x or x = (36000
Q-22 Suppose B invested Rs x & y month . Then , A invested Rs 3x for 2y months .
y ) = 6xy : xy = 6 : 1´ 2y ) : ( x ´So A: B = ( 3x
Therefore B’s profit : total profit = 1 : 7
Suppose total profit be x . Then 1/7 = 4000 / x , or x = 28 000
Q-23 Let the total profit = z
20 % of x = 98000 , x = 490 000
Let the capitals of P , Q , R be 5x , 6x & 6x
12´ 6 ) = 490 000 ´ 12 ) + ( 6x ´ 12 ) + ( 6x ´( 5x
x = 35 000
R’s investments = 6x = 6( 35000 ) = 210 000
Q-24 Let their investments be Rs x for 14 months , y for 8 months & z for 7 months
Then 14x : 8y : 7z = 5 : 7 : 8
14x / 8y = 5/7 , y = 7/4 z
14x /7z = 5/8 , z = 112 / 35 x = 16 /5 x
x: y : z = x : 7/4 x : 16/5 x = 30 : 35 : 64
Q-25 Let the total profit be z
B’s share is = 2z/3, A’s share = Rs. z/3.
There for A : B = z / 3 : 2z /3 = 1 : 2.
Let the total capital be rate x & suppose B’s money was used for x months. Then ,