(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Mr. Gulati has a Recurring Deposit Account of Rs. 300 per month. If the rate of interest is 12% and the maturity value of this account is Rs. 8,100; find the time (in years) of this Recurring Deposit Account.

If a : b = 5 : 3, find : `(5a - 3b)/(5a + 3b)`.

If x : y = 4 : 7, find the value of (3x + 2y) : (5x + y).

If a : b = 3 : 8, find the value of `(4a + 3b)/(6a - b)`.

If (a – b) : (a + b) = 1 : 11, find the ratio (5a + 4b + 15) : (5a – 4b + 3).

Find the number which bears the same ratio to `7/33` that `8/21` does to `4/9`.

If `(m + n)/(m + 3n) = 2/3`, find : `(2n^2)/(3m^2 + mn)`.

Find `x/y`; when x² + 6y² = 5xy. 

If the ratio between 8 and 11 is the same as the ratio of 2x – y to x + 2y, find the value of `(7x)/(9y)`.

Divide Rs. 1290 in to A, B and C such that A is `2/5` of B and B : C = 4 : 3.

A school has 630 students. The ratio of the number of boys to the number of girls is 3 : 2. This ratio changes to 7 : 5 after the admission of 90 new students. Find the number of newly admitted boys.

What quantity must be subtracted from each term of the ratio 9 : 17 to make it equal to 1 : 3?

The work done by (x – 2) men in (4x + 1) days and the work done by (4x + 1) men in (2x – 3) days are in the ratio 3 : 8. Find the value of x.

The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if:

1. the original fare is Rs. 245;
2. the increased fare is Rs. 207.

By increasing the cost of entry ticket to a fair in the ratio 10 : 13, the number of visitors to the fair has decreased in the ratio 6 : 5. In what ratio has the total collection increased or decreased?

In a basket, the ratio between the number of oranges and the number of apples is 7 : 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1 : 2. Find the original number of oranges and the original number of apples in the basket.

In a mixture of 126 kg of milk and water, milk and water are in ratio 5 : 2. How much water must be added to the mixture to make this ratio 3 : 2?

If A : B = 3 : 4 and B : C = 6 : 7, find:

1. A : B : C
2. A : C

If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.

If 3A = 4B = 6C, find: A : B : C.