6
Q:

# If 25% of three-seventh of 26% of a number is 145.5, what is the number?

 A) 4987 B) 5784 C) 5223 D) 4741

Explanation:

Given,

25% of three-seventh of 26% of a number is 145.5

Let the required number be 'N'

i.e, $\inline \fn_jvn \frac{25}{100}x\frac{3}{7}x\left ( \frac{26}{100}xN\right )=145.5$

N = $\inline \fn_jvn \frac{145.5x7x10000}{25x3x26}$

=> N = 5223.07

Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college?

 A) 500 B) 300 C) 600 D) 700

Explanation:

Let number of boys in the school = x

Let number of girls in the school = y

Number of students participated in the sports = 300

Out of which boys = 100

but given number of boys participated in sports = x/3

=> x/3 = 100

=> x = 300

Remaining girls = 300 - 100 = 200

=> y/2 = 200

=> y = 400

Therefore, total number of students in the school = x + y = 300 + 400 = 700

6 125
Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

 A) 52% B) 64% C) 84% D) 77%

Explanation:

Let the number be 'x'

Then, according to the given data,

$\fn_jvn \frac{\frac{5}{2}x-\frac{2}{5}x}{\frac{5}{2}x}x100$

$\fn_jvn \frac{21}{25}x100$

= 84%

8 300
Q:

Ramesh spent Rs. 38460 on the renovation of his home, Rs. 24468 on buying furniture and remaining 28% of the total amount he had as cash with him. What was the total amount ?

 A) 87400 B) 92520 C) 88470 D) 90150

Explanation:

Let X be the total amount with Ramesh

Given 28% of X = Cash remaining

=> Amount spent = 72% of X = 38460 + 24468 = 62928

=> 72% of X = 62928

=>  X = ?

=> X = 87400

7 349
Q:

What will come in place of the question mark (?) in the following question ?

52.5% of 800 + 30.5% of 2800 = ? + 87.30

 A) 1096.30 B) 1226.70 C) 1124.20 D) 1186.70

Explanation:

52.5% of 800 + 30.5% of 2800 = ? + 87.30

420 + 854 - 87.30 = ?

1274 - 87.30 = ?

? = 1186.70

5 175
Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

 A) Rs. 20 B) Rs. 24 C) Rs. 26 D) Rs. 29

Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20