The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?
A + B + C + D + E/5 = 42
∴ C = 42, ∴ B = 40, ∴ D = 44
∴ B x D = 40 x 44 = 1760
The average age of a man and his son is 64 years. The ratio of their ages is 5 : 3. What is the age of the son ?
Let the age of the man and his son be 5x and 3x respectively.
5x + 3x/2 = 64
∴ x = 16 years
Son's age = 3x = 16 x 3 = 48 years.
What is the average of the following set of scores ?
Avg = 183 + 247 + 384 + 446 + 625 + 731/6
= 2616/6 = 436
A person gave 50% of his salary to his wife. He gave 10% of the remaining amount to his son and of the remaining amount, he spent 60% on education. Now, he is left with Rs. 2250. What is his salary ?
Let his salary be x.
After giving 50% of his salary to his wife, the remaining salary will be x/2. Also he gave 10% of the remaining amount to his son.
So. the remaining amount = x/2 - 10% of x/2
= x/2 - x/20 = 9x/20
From this amount, he spent 60% on education. So the remaining amount
= 9x/20 - 3/5 x 9x/20
= 9x/20 - 27x/100 = 18x/100
∴ 18x/100 = 2250
∴ x = 2250 x 100/18 = 12500
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?
Let the number be 10x + y.
∴ y = 3x + 2 .......(i)
And, x + y = 10 ......(ii)
From (i) and (ii), x = 2, y = 8
∴ Number = 28
Akash, Ramesh and Kamlesh invest in a business in the ratio of 2 : 3 : 5. If the amount invested by Akash is Rs 12000, what is the total amount invested ?
Total of the ratio = 2 + 3 + 5 = 10
∴ Total amt/10 x 2 = 12000
∴ Total amount = 12000 x 10/2 = Rs 60000
Mr X sold an item to Mr Y at 8% discount on print rate. The discount value was 710304. If the print rate includes 12% profit on the purchase cost, what is the purchase cost ?
Cost price = 10304 x 100/92 x 100/112 = Rs 10000
The cost of two dozen apples and three dozen bananas is 7116. The cost of five dozen bananas and one dozen apples is 7100. What is the price of one dozen bananas ?
Let the price of one dozen apple be x and one dozen bananas be y.
∴ 2x + 3y = 116 .......(i)
and, x + 5y = 100 ......(ii)
From (i) and (ii), x = 40, y = 12
What is the cost of painting a hall whose area is 720 sq metre, if the rate of painting is 725 per square metre ?
Reqd answer = 720 x 25 = 18000
Sonu started a business with an investment of 775000. Six months later, Prakash joined him with 730000. In what ratio should the profit they earned be distributed at the end of the year ?
75000 x 12 : 30000 x 6
or 900000 : 180000
or 5 : 1
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