Question
The digits of a two-digit number βNβ are reversed to
form a new number βMβ. If M < N and N β M = 54, then which of the following maybe βNβ?Solution
ATQ; Let the original number = N = β10a + bβ So, the new number = M = β10b + aβ ATQ; N = M + 54 So, 10a + b = 10b β a + 54 Or, 9a β 9b = 54 Or, a β b = 6 So, possible pairs of βaβ and βbβ = (9, 3), (8, 2), (7, 1) So, possible values of βNβ = 93, 82, 71 Alternate Solution From option βaβ: N = 39 So, M = 93 Since, M > N {not possible} N = 71 So, M = 17 Also, N β M = 71 β 17 = 54
The simple interest and compound interest (compounded yearly) on a sum Rs. βPβ at βr%β p.a. for two years are Rs. 18,000 and Rs. 19,350, respect...
A man purchases some number of apples at the rate of 36 apple for Rs. 1. How many for a rupee did he sell to gain 12.5%.
Simple interest earned on an amount of Rs.1500 at rate of R% per annum after 4 years is Rs.240. Find the simple interest earned on an amount of Rs.1800 ...
- A total of Rs. 17400 is shared between 'X' and 'Y' in the ratio 11:7. If 'Y' invests his portion in a compound interest scheme at a rate of 10% per annum, ...
A sum of money, invested for 8 years on 5% per annum simple interest, amounted to βΉ287 on maturity.
What was the sun invested in?
A deposited Rs. 7500 at 20% per annum compound interest in scheme A for 3 years. After 3 years, he deposited total amount at 25% simple interest per ann...
If certain sum of amount becomes Rs. 9024 in 12 years and Rs. 13536 in 24 years at a certain rate of compound interest, compounded annually then find th...
Shivam invested 24000 at 15% p.a. simple interest for βxβ months. If at the end of βxβ months, he received a total amount of Rs.26400. What is t...
John invested Rs. (P-4000) and Rs. (P+5000) in scheme A and scheme B respectively. The rate of interest in scheme A and B is (R+1)% and (R-1)% respectiv...
Some amount out of Rs. 24000 was lent out at 10% per annum and the rest amount @ 16% per annum and thus in 5 years the total interest from both the amou...
