Question

1.60% of
a number is added to 120 the result is the same number
Find The no.​

Answer 1

Answer:

x = 300

Step-by-step explanation:

60% x + 120 = x

$\frac{60}{100} x + 120 = x \\ \frac{6}{10} x + 120 = x \\ x - \frac{6x}{10} = 120 \\ \frac{10x - 6x}{10} = 120 \\ 4x = 120 \times 10 \\ x = \frac{120 \times 10}{4} \\ x = 30 \times 10 \\ x = 300$

verification

60% of x

60/100 × 300 = 60 × 3 = 180

60% of x + 120

180 + 120 = 300

Hope you get your answer

th

Answer 2

$\dag \: \underline{\sf AnsWer :}$

• In the question it is stated that, 60% of number is added to 120 and the result is the number itself and we need to find the number. So, first assume the required number as M. Now,let's solve it ;

$:\implies\textsf {60\% of Required number + 120 = Required number}$

$:\implies\textsf {60\% of M + 120 = M}$

$:\implies \sf { \dfrac{60M}{100} + 120 = M}$

$:\implies \sf { \dfrac{6M}{10} + 120 = M}$

$:\implies \sf { \dfrac{3M}{5} + 120 = M}$

$:\implies \sf {120 = M - \dfrac{3M}{5}}$

$:\implies \sf {120 = \dfrac{5M - 3M}{5}}$

$:\implies \sf {120 = \dfrac{2M}{5}}$

$:\implies \sf {120 \times 5 = 2M}$

$:\implies \sf {600= 2M}$

$:\implies \sf {M = \dfrac{600}{2} }$

$:\implies \underline{ \boxed{ \sf {M = 300} }}$