Question
The amount of a certain sum in 3 years at simple
interest at x % p.a. is ₹5,472 and the amount of the same sum in 7(1/2) years at the same rate, at simple interest is ₹6,930. The value of x is:Solution
Let the sum be Rs. p. According to the question, p + (p × x × 3)/100 = 5472 ....(1) According to the question, p + (p × x × 7.5)/100 = 6930 ....(2) (2) - (1) we get, p + (p × x × 7.5)/100 - p - (p × x × 3)/100 = 6930 - 5472 ⇒ 7.5xp/100 - 3xp/100 = 1458 ⇒ 4.5xp/100 = 1458 ⇒ xp = 145800/4.5 ⇒ xp = 32400 ....(3) Putting xp = 32400 in (2), p + (p × x × 7.5)/100 = 6930 ⇒ p + (32400 × 7.5)/100 = 6930 ⇒ p = 6930 - (32400 × 7.5)/100 ⇒ p = 6930 - 2430 ⇒ p = 4500 ....(4) Putting p = 4500 in (3), x × 4500 = 32400 ⇒ x = 32400/4500 ⇒ x = 7.2 ∴ The value of x is 7.2.
124, 143, 168, 202, 242, 289
24, 72, 36, 112, 54, 162
11, 12, 20, 58, 234, 1168
12, 27, 44, 68, 94
Find the wrong number in the given number series,
31, 55, 91, 145, 217, 307
3, 4, 9, 28, 116, 566, 3397
Find the wrong number in given number series.
1177, 1161, 1125, 1061, 961, 837.
Find the odd one out in the following series:
238, 302, 311, 320, 335, 345
3, 15, 35, 63, 99, 143
2, 10, 30, 64, 130, 222