11. Mahesh, Suresh, and Ramesh can complete a job in 12 days, 15 days, and 30 days respectively. They worked together and completed it. Out of the total amount paid to them after completing it. Mahesh’s share was Rs. 300. Find the total amount (in rupees) paid to them.

महेश, सुरेश और रमेश एक कार्य को क्रमशः 12 दिन, 15 दिन और 30 दिन में पूरा कर सकते हैं। उन्होंने एक साथ कार्य किया और उसे पूरा किया। उसे पूरा करने के बाद उन्हें दी गई कुल राशि में से महेश का हिस्सा 300 रुपये था। उन्हें भुगतान की गई कुल राशि (रुपये में) ज्ञात कीजिए।


Option”D” is correct

Total work = 60 (LCM of 12, 15 and 30)

⇒ Efficiency of Mahesh = 60/12 = 5 units/day

⇒ Efficiency of Suresh = 60/15 = 4 units/day

⇒ Efficiency of Ramesh = 60/30 = 2 units/day

Efficiency ratio of Mahesh, Suresh and Ramesh = 5x : 4x : 2x

Time taken to complete the work = 60/11 days

According to the question

5x × 60/11 = 300

⇒ x = 11

∴ Total paid amount = 11x × 60/11 = Rs. 660.

12.A can do a piece of work in 10 days and B in 12 days. A, B and C take Rs. 4500 for doing this work. With the help of C, they can complete the work in 4 days. How much amount C will get in Rs.?

A, 10 दिनों में और B, 12 दिनों में एक काम को कर सकता है। इस काम को करने के लिए A, B और C 4500 रुपये लेते हैं। C की मदद से वे 4 दिनों में काम पूरा कर सकते हैं। C को कितनी राशि रुपये में प्राप्त होगी?


Option”A” is correct

One day work of A + B + C = 1/4

One day work of A = 1/10

One day work of B = 1/12

C’s 1 day work = 1/4 – (1/10 + 1/12) = 1/15

Wages ratio = 1/10 : 1/12 : 1/15 = 6 : 5 : 4

Amount “C” will get = (4/15) × 4500 = Rs. 1200

∴ C will get Rs. 1200

13. If 4 men and 3 women can earn Rs. 2100 in 7 days and 10 men and 13 women can earn Rs. 8000 in 8 days, in what time will 11 men earn Rs. 13500?

यदि 4 पुरुष और 3 महिलाएं 7 दिनों में रुपए 2100 अर्जित कर सकते हैं और 10 पुरुष और 13 महिलाएं 8 दिनों में रुपए 8000 अर्जित कर सकते हैं, 11 पुरुष रुपए 13500 कितने दिनों में अर्जित कर सकते हैं?


Option”C” is correct

4 men and 3 women can earn Rs. 2100 in 7 days,

⇒ In one day, 4 men and 3 women can earn Rs. 300,

⇒ 4m + 3w = 300        —-1

Similarly, 10m + 13w = 1000        —-2

On solving equation 1 and 2, we get

22 men earn Rs. 900 in one day

⇒ 11 men would earn Rs. 450 in a day

∴ 11 would earn Rs. 13500 in 30 days.

14. Working alone, X, Y and Z can complete a task in 16 days, 15 days and 10 days respectively. They worked together for 4 days then X left. Y and Z then completed the work. If they are paid Rs. 8600, what is the share (In Rs.) of Y?

अकेले काम करते हुए X, Y और Z एक कार्य को क्रमशः 16 दिन, 15 दिन और 10 दिनों में भर सकते हैं। वे मिलकर 4 दिनों के लिए काम करते हैं फिर X काम छोड़ देता है। फिर Y और Z काम को पूरा करते हैं। यदि उन्हें 8600 रुपए का भुगतान किया जाता है, तो Y का हिस्सा (रुपए में) क्या है?


Option”A” is correct

Suppose total work = 240 units (LCM of 16, 15 & 10)

Efficiency of X = 15

Efficiency of Y = 16

Efficiency of Z = 24

Amount of work done in 4 days = (15 + 16 + 24) × 4 = 220 units

Remaining work = 240 – 220 = 20 units

∴ Time in which 20 units work will be done = 20/(16 + 24) = 1/2 day

∴ Total work done by Y = 4.5 × 16 = 72 units

∴ Share of Y = (72/240) × 8600 = Rs. 2580

15. A earns Rs. 640 per day and works for 8 hours. B earns 360 per day and works for 6 hours. The ratio of per day wages of A to that of B is:

A प्रति दिन 8 घंटे काम करके 640 रुपये कमाता है। B प्रति दिन 6 घंटे काम करके 360 रुपये कमाता है। A और B के प्रतिदिन मजदूरी का अनुपात क्या है?


Option”B” is correct

Since A earns Rs. 640 per day and B earns Rs. 360 per day

∴ Required ratio = 640 : 360 = 16 : 9

16. A and B can complete a piece of work in 15 days and 20 days respectively. They got a contract to complete the work Rs. 77000. The share of A (in Rs) in the contracted money will be:

A और B क्रमशः 15 दिनों और 20 दिनों में एक कार्य पूरा कर सकते हैं। उन्हें 77000 रूपये में एक काम पूरा करने का कॉन्ट्रैक्ट मिला। उस कॉन्ट्रैक्ट से मिलने वाली राशि में A का हिस्सा (रुपये में) होगा:


Option”C” is correct

Ratio of number of days taken by A and B to complete the work 

15 : 20 = 3 : 4

Ration of efficiency of A and B = 4 : 3

Let share of A in money be 4x and B in money be 3x

4x + 3x = 77000

⇒ 7x = 77000

⇒ x = Rs. 11000

A = 4x = 4 × 11000 = Rs. 44000

∴ Share of A in money = Rs. 44000

17.A earns Rs. 640 per day and works for 8 hours per day. B earns Rs. 360 per day and works for 6 hours per day. The ratio of per day wages of B to that of A is:

A प्रतिदिन 8 घंटे काम करते हुए 640 रुपये प्रतिदिन अर्जित करता है। B प्रतिदिन 6 घंटे काम करते हुए 360 रुपये प्रतिदिन अर्जित करता है। B का A से प्रतिदिन के वेतन का अनुपात क्या है?


Option”B” is correct

Since A earns Rs. 640 per day and B earns Rs. 360 per day

∴ Required ratio = 360 : 640 = 9 : 16

18. Three categories of employees A, B and C get wages in the ratio of 1 : 2 : 3, if they get increments of 5%, 10% and 15% respectively. What will be the new ratio of their wages?

कर्मचारियों की तीन श्रेणी A, B और C, 1 : 2 : 3 के अनुपात में वेतन प्राप्त करते हैं, यदि उन्हें क्रमशः 5%, 10% और 15% की वेतन में वृद्धि प्राप्त होती है। तो उनके वेतन का नया अनुपात क्या होगा?


Option”D” is correct

The present wages ratio of A, B and C is 1 : 2 : 3

According to question,

Their wages ratio will be 1 × 105% : 2 × 110% : 3 × 115%

⇒ 21/20 : 2 × 22/20 : 69/20

∴ The ratio of wages will be 21 : 44 : 69

19. Rahul can do a work in 20 days, while Rohit can do the same work in 25 days. They started the work jointly. Few days later Ravi also joined them and thus all of them completed the whole work in 10 days. If they were paid a total of Rs.3000 then find the share of Ravi.

राहुल एक कार्य को 20 दिन में पूरा कर सकता है, जबकि रोहित उस कार्य को 25 दिन में पूरा कर सकता है। उन्होंने संयुक्त रूप से कार्य शुरू किया। कुछ दिनों के बाद, रवि भी उनके साथ शामिल हो गया और इस प्रकार उन सभी ने सम्पूर्ण कार्य को 10 दिन में पूरा कर लिया। अगर उन्हें कुल र 3000 का भुगतान किया गया था तो रवि का हिस्सा खोजें।


Option”D” is correct

Rahul complete the work in 20 days

Rohit complete the same work in 25 days

Total work = 100 units (LCM of 20 and 25)

One day work of Rahul = 100/20 = 5 units

One day work of Rohit = 100/25 = 4 units

10 day’s work of Rahul and Rohit = (5 + 4) × 10

Work completed by both = [(5 + 4) × 10] = 90 units

Remaining work done by Ravi = 10 units

∴ Share of Ravi = (10/100) × 3000 = Rs. 300

20. Ram and Shyam have been given a work of painting four walls of a room for Rs. 1200. Ram alone can paint 3 m2 of area in 1 hour and Shyam alone can paint 5 m2 areas in 1 hour. If the length, breadth, and height of the room are 16, 12, and 10 meters respectively, then find the share of Shyam.

राम और श्याम को 1200 रुपये में एक कमरे की चार दीवारों को पेंट करने का कार्य दिया गया है। राम अकेले 1 घंटे में 3 मीटर2 क्षेत्र को और श्याम अकेले 1 घंटे में 5 मीटर2 क्षेत्र को पेंट कर सकता है। यदि कमरे की लंबाई, चौड़ाई और ऊंचाई क्रमशः 16, 12 और 10 मीटर है, तब श्याम का हिस्सा भी ज्ञात कीजिये।


Option”B” is correct

Area of four walls = 2(16 + 12) × 10 = 2 × 28 × 10 = 560 m2

Ram and Shyam both can paint 8m2/hr

∴ Total time in which the task will be completed = 560/8 = 70 hours

∴ Share of Shyam = (5/8) × 1200 = 5 × 150 = Rs. 750

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