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- Question 1 of 10
##### 1. Question

Piyush spends 60% of his income. If his income is increased by 12% and his expenditure also increases by 5% as compared to his previous expenditure. What must be the percentage increase in his savings?

CorrectLet his initial monthly income be Rs.100

Initial expenditure = 60% = Rs.60

Initial savings = 40% = Rs.40

If his income is increased by 12% then the new income is Rs.112.

If the expenditure is increased by 5% then new expenditure = 60 * 1.05 = 63

New expenditure = Rs.63

New savings= 112-63 = Rs.49

Percentage increase in savings = ((49-40) X 100)/40 = 22.5%IncorrectLet his initial monthly income be Rs.100

Initial expenditure = 60% = Rs.60

Initial savings = 40% = Rs.40

If his income is increased by 12% then the new income is Rs.112.

If the expenditure is increased by 5% then new expenditure = 60 * 1.05 = 63

New expenditure = Rs.63

New savings= 112-63 = Rs.49

Percentage increase in savings = ((49-40) X 100)/40 = 22.5% - Question 2 of 10
##### 2. Question

A shopkeeper sold an AC for Rs 18200 with a discount of 9% and gained 13.75%. If no discount was allowed, what would be his profit percentage?

CorrectSelling Price (SP) = Rs 18200 and Discount = 9%

=> Mark Price = (100/91)*18200 = Rs 20000

Also,

By selling at Rs 18200, he gained 13.75%

=> SP = 113.75% of CP

=> CP = (100/113.75)*18200 = Rs 16000

If no discount was given,

Profit % = (MP – CP)/CP * 100 = (20000-16000)/16000 * 100 = 25%IncorrectSelling Price (SP) = Rs 18200 and Discount = 9%

=> Mark Price = (100/91)*18200 = Rs 20000

Also,

By selling at Rs 18200, he gained 13.75%

=> SP = 113.75% of CP

=> CP = (100/113.75)*18200 = Rs 16000

If no discount was given,

Profit % = (MP – CP)/CP * 100 = (20000-16000)/16000 * 100 = 25% - Question 3 of 10
##### 3. Question

Ramesh lends some amount to Suresh for simple interest. What should be the interest rate if Ramesh wish to get back the double amount of money after 8 years?

CorrectIf Ramesh wants to get double amount money after 8 years, the simple interest must be equal to the principal amount.

Thus, P = P*T*R / 100

R =100 / T

R = 100 / 8

R = 12.5 %

Hence, the required interest rate is 12.5%IncorrectIf Ramesh wants to get double amount money after 8 years, the simple interest must be equal to the principal amount.

Thus, P = P*T*R / 100

R =100 / T

R = 100 / 8

R = 12.5 %

Hence, the required interest rate is 12.5% - Question 4 of 10
##### 4. Question

Sukanya contributed 12% of her salary to NGO, but later she changed her decision and contributed Rs 7968 which was 80% of her initial contribution. Find the monthly salary of Sukanya?

CorrectGiven, Sukanya contributed Rs 7968 to NGO which was 80% of her decided contribution i.e. 80% of 12% of her salary = 9.6% of her salary.

If 9.6% = Rs 7968, then 100% = 7968 *100/9.6 = 83000

Therefore, monthly salary of Sukanya = Rs 83000IncorrectGiven, Sukanya contributed Rs 7968 to NGO which was 80% of her decided contribution i.e. 80% of 12% of her salary = 9.6% of her salary.

If 9.6% = Rs 7968, then 100% = 7968 *100/9.6 = 83000

Therefore, monthly salary of Sukanya = Rs 83000 - Question 5 of 10
##### 5. Question

Manjhi, the fisherman, bought a new motorboat which could travel in still water at 20 km/hr. He has to move to an island 3182 km away and come back. How much time will it take for the entire journey if the speed of the stream is 1.5 km/hr?

CorrectSpeed downstream = (20 + 1.5) = 21.5 km/h

Speed upstream = (20 – 1.5) = 18.5 km/h

Total time taken = 3182/21.5 + 3182/18.5 = 148 + 172 = 320 hoursIncorrectSpeed downstream = (20 + 1.5) = 21.5 km/h

Speed upstream = (20 – 1.5) = 18.5 km/h

Total time taken = 3182/21.5 + 3182/18.5 = 148 + 172 = 320 hours - Question 6 of 10
##### 6. Question

A milk seller has 15 litres of pure milk. How many litres of water, which is available free of cost, have to be added to it so that he gets a 50% profit by selling the mixture at the cost price of pure milk ?

CorrectLet Rs a/ litre be the cost price of pure milk, let Rs c/ litre be the cost of mixture of milk and water.

As, the milk seller gains 50% profit by selling the mixture at the cost price of pure milk, we get

a = c + 50/100 x c

or a = 1.5 c

or c = a/1.5 = 2/3 a

Using allegation,Or

15/p =(2/3a)/(1/3a)

Or

p = 7.5 litres.

Thus, 7.5 litres of water needs to be added.IncorrectLet Rs a/ litre be the cost price of pure milk, let Rs c/ litre be the cost of mixture of milk and water.

As, the milk seller gains 50% profit by selling the mixture at the cost price of pure milk, we get

a = c + 50/100 x c

or a = 1.5 c

or c = a/1.5 = 2/3 a

Using allegation,Or

15/p =(2/3a)/(1/3a)

Or

p = 7.5 litres.

Thus, 7.5 litres of water needs to be added. - Question 7 of 10
##### 7. Question

A water tank is filled in 3 hours by 3 pipes P, Q and R working together. The pipe P is 3 times as fast as pipe Q and pipe Q is 4 times as fast as pipe R. Then in how much time will pipe R take to fill the tank alone?

CorrectLet pipe R takes x hours to fill the tank alone.

Then pipe Q will take x/4 hours and pipe P will take x/12 hours.

Together, they filled tank in 3 hours.

Therefore, 1/x + 4/x + 12/x = 1/3

On solving, we get x = 51 hours.IncorrectLet pipe R takes x hours to fill the tank alone.

Then pipe Q will take x/4 hours and pipe P will take x/12 hours.

Together, they filled tank in 3 hours.

Therefore, 1/x + 4/x + 12/x = 1/3

On solving, we get x = 51 hours. - Question 8 of 10
##### 8. Question

The ratio of Sameer’s age to Samar’s age is 7:12. If after 7 years they meet, then Samar said his age is 15 years more than double of Sameer’s age 15 years ago from then. Find the ratio of Sameer’s age 10 years later to Samar’s age 10 years ago.

CorrectLet present ages be

Sameer = 7a

Samar =12a

After 7 years,

12a + 7 = 15 + 2*(7a + 7 – 15)

12a – 8 = 14a – 16

a = 4

So, Sameer = 28

Samar = 48

Ratio = (28+10): (48 – 10) = 38:38 = 1:1IncorrectLet present ages be

Sameer = 7a

Samar =12a

After 7 years,

12a + 7 = 15 + 2*(7a + 7 – 15)

12a – 8 = 14a – 16

a = 4

So, Sameer = 28

Samar = 48

Ratio = (28+10): (48 – 10) = 38:38 = 1:1 - Question 9 of 10
##### 9. Question

12 men or x women can do a piece of work in 36 days. If 18 men and 9 women started working together and complete whole work in 19 1/5 days, then find the value of ‘x’

CorrectGiven,

((96/5)×18)/(36×12)+((96/5)×9)/(36×x)=1

=>4/5+96/20x=1

=>96/20x=1/5

=>x=24IncorrectGiven,

((96/5)×18)/(36×12)+((96/5)×9)/(36×x)=1

=>4/5+96/20x=1

=>96/20x=1/5

=>x=24 - Question 10 of 10
##### 10. Question

A shopkeeper bought an article at certain rate with 25% discount. If he sells that 20% more what he bought, then find the profit is what percentage in the marked price of an article

CorrectLet us take marked price of an article be x

Given,

CP of shopkeeper = x *75/100

Profit of shopkeeper = x*75/100*20/100=3x/20

Required percentage = (3x/20)/x*100

=>3/20*100=>15%IncorrectLet us take marked price of an article be x

Given,

CP of shopkeeper = x *75/100

Profit of shopkeeper = x*75/100*20/100=3x/20

Required percentage = (3x/20)/x*100

=>3/20*100=>15%