Question 1

What should come in place of question mark (?) in the following question? 45% of 400+ √? = 56% of 750 - 40% of 350

Accepted Answer

45/100×400+√?=56/100 ×750 -40/100 ×350 180 + √? = 420 - 140 180 + √? = 280 √? = 280 - 180 √? = 100 ? = 1002 ? = 10000

Question 2

Every month, Kritika spends 30% of her income on house rent and 60% of the rest on household expenditure. If she saves ₹ 6300 per month, what is her total monthly income?

Accepted Answer

Let the monthly income be x Kritika spends 30% of her income on house rent. The remaining amount will be 70% of x Kritika spends 60% of the rest (70% of 60% = 42% of x )on household expenditure. The remaining amount will be 28% of x If 28% of x is 6300 then 100% will be 22,500

Question 3

A man’s average monthly expenditure for the first four months of the year was Rs. 231.25. For the next five months, the average monthly expenditure was Rs. 22.75 more than what it was during the first four months. If the person spent Rs. 605 in all …

Accepted Answer

A man's average monthly expenditure for the first four months of the year = Rs.231.25. For four month = 231.25 * 4 = Rs. 925 For next five month he spend = 231.25 + 22.75 for one month. In five month he spend = (231.25 + 22.75) X 5 = 1270 If the person spent Rs. 605 in all during the remaining three months of the year, Total expense = 925+1270+605= 2800 Saving = 3500-2800 = 700 % saving = 700/3500 * 100 = 20%

Question 4

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

Accepted Answer

Money lent at 9% = x Money lent at 7% = (2600 – x) ⇒ 9x/100 + (2600 – x) X 7 /100 = 206 ⇒ 9x + 18200 – 7x = 20600 ⇒ 2x = 2400 ⇒ x = 1200 Money lent at 7% = 2600-1200 = 1400

Question 5

In an election between two candidates 70% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 7203 votes which was 60% of the total valid votes. Find the total number of voters enrolled in that electio…

Accepted Answer

Let total number of votes enrolled = x No. of voted cast = 70% of x = 0.7x Valid votes = 98% of 0.7x ⇒ 60% of total valid votes = 7203 = 60% of 98% of 0.7x ⇒ 0.6 X 0.98 X 0.7x = 7203 ⇒ x = 7203 / (0.6 X 0.98 X 0.7) ⇒ x = 17500

Question 6

75 pupils from a school appeared for an examination and 80% of them passed. Another school entered 10 more pupils than the first school and five pupils less than the first school passed. The pass % of in the second school was :

Accepted Answer

no of pupils pupil from first school for examination= 75 No. of pupil passed = 80% of 75 = 60 No. of pupil from second school = 85 No .of pupil passed from 2nd school = 55 Pass % from second school = 55/85 X 100 = 64.70%

Percentage Questions