**471. What will be 80 Percent of a number whose 200 percent is 90?**

A. 144

B. 72**C. 36**

D. none of these

**Explanation:**

**200 % of x = 90****=> x = 9000/200 = 45****80 % of x = (80/100 ×45) = 36**

**472. In an election between two candidates, the candidate who gets 30 % of the votes polled is defeated by 15000 votes. The number of votes polled by the winning candidate is:________?**

A. 11250

B. 15000**C. 26250**

D. 37500

**Explanation: Let the votes polled by the winning candidate be x.****Then, (x – 15000) = 30 % of [x + (x – 15000)]****or x = 26250**.

**473. In a college election, a candidate secured 62 % of the votes and is elected by a majority of 144 votes. The total number of votes polled is:________?****A. 600**

B. 800

C. 925

D. 1200

**Explanation:****20 % of x + 30 = 32 % of x – 42****Or 12 % of x = 72.****So, x = (72 ×100)/12 = 600****Pass marks = 20 % of 600 + 30 = 150****Pass Percentage =[1/4 x 100]%= 25 %**

**474. A student who secures 20 % marks in an examination fails by 30 marks. Another student who secures 32 % marks gets 42 marks more than those required to pass. The percentage of marks required to pass is:________?**

A. 20%**B. 25 %**

C. 28%

D. 30%

**Explanation:**

20 % of x + 30 = 32 % of x – 42

Or 12 % of x = 72.

So, x = (72 ×100)/12 = 600

Pass marks = 20 % of 600 + 30 = 150

Pass Percentage =[1/4 x 100]%= 25 %

**475. 5 % income of a is equal to 15 % income of B and 10 % income of B is equal to 20 % income of C if the income of c is Rs. 200, then total income of A, B and C is :_________?**

A. Rs. 6000**B. Rs. 18000**

C. Rs. 20000

D. Rs. 14000

**Explanation:****20 % of x + 30 = 32 % of x – 42****Or 12 % of x = 72.****So, x = (72 ×100)/12 = 600****Pass marks = 20 % of 600 + 30 = 150****Pass Percentage =[1/4 x 100]%= 25 %**

**476. 75 % of a number when added to 75 is equal to the number. The number is:_______?**

A. 150

B. 200

C. 225**D. 300**

**Explanation:****75 + 75 % of x = x****or x – 3/4 x = 75****Or 1/4 x = 75****X = (75 × 4) =300**

**477. After spending 40 % in machinery, 25 % in the building, 15 % in raw material and 5 % on furniture, Haris had a balance of Rs. 1305. The money with him was:________?**

A. Rs. 6500

B. Rs. 7225**C. Rs. 8700**

D. Rs. 1390

**Explanation:****x – [40 % of x + 25 % of x + 15 % of x + 5 % of x] = 1305****or x – 85 % of x = 1305****or 15 % of x = 1305 x 130500/15 × 8700****= Rs. 8700**

**478. A man donated 5 % of his income to a charitable organization and deposited 20 % of the remainder in a bank. If he now has Rs. 1919 left, what is his income?**

A. Rs. 2558. 60**B. Rs. 2525**

C. Rs. 2500

D. Rs. 2300

**Explanation:****Let his income be Rs. x.****Then X – 5 % of x – 20 % of 95 % of x = 1919****or x – x/20 – (20×95×x)/(100 × 100) = 1919****or x – x/20 – 19x/100 = 1919****or 100x – 5x – 19x = 191900****X = 191900/76= 2525**

**479. Raees credits 15 % of his salary in this fixed deposit account and spends 30 % of the remaining amount on groceries if the cash in hand is Rs. 2380, what is his salary?**

A. Rs. 3500**B. Rs. 4000**

C. Rs. 4500

D. Rs. 5000

**Explanation****Let salary be Rs. x.****Then, x – 15 % of x – 30 % of 85 % of x = 2380****or x – 15x/100 – (30×85×x)/(100×100) = 2380****or 200 x – 30 x – 51 x = 2380 X 200****or 119 x = 2380 X 200****or x = (2380×200)/119 = 4000**

**480. The income of a broker remains uncharged though the rate of commission is increased from 4 % to 5 % the percentage of a slump in business is_______?**

A. 8 %

B. 1 %**C. 20 %**

D. 80 %

**Explanation:****Let the business value changes from x to y.****Then 4 % of x = 5 % of y of 4/100 × x = 5/100 × y****or y = 4/5 x.****Change in business = (x – 4/5 x) = 4/5 x.****Percentage slump in business****= (1/5 x ×1/x × 100)% = 20%**

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