SSC Selection Post 2021 Higher Secondary Level Question Paper (15 Mar, 2022) (Shift 2)

A number is increased by 20%, then decreased by 27%, and then further increased by 10%. What is the net increase/decrease percentage in the number (correct to the nearest integer)?

If 2x+
3x
1
​
+1=0 and x

=0, then find the value of 2x+
3x
1
​
.

The ratio of the incomes of A and B is 2:3 and the ratio of their expenditures is 5:7. If 7 times the income of A is equal to $6 times the expenditure of B, then what is the ratio of the savings of A and B?

A man buys 120 toys each at the same cost price. He sells 45% of the toys at 40% profit, one-third of the remaining at 20% profit, and the remaining at a loss which is equal to the cost price of 14 toys. His profit per cent in the entire transaction is:

The following distribution represents candidates who were enrolled for a competitive examination, and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T.
Suppose the total number of enrolled candidates is 7500 with distribution: P = 22%, Q = 30%, R = 10%, S = 18%, T = 20%.
The total number of passed candidates is 4000 with distribution: P = 18%, Q = 24%, R = 14%, S = 22%, T = 22%.

The total number of candidates who enrolled in institutes P, R and T together is what percentage more than the number of candidates who passed from institutes P, R and T together?