Question

after spending 45℅ of good money,a boy had rs.176 left with him. how much money did he have initially?​

Answer 1

Answer: Rs.320

Step-by-step explanation:

45% spent.

Remaining = 100-45 = 55%

Remaining amount = Rs.176

55% of Total = 176

55/100 * Total = 176

Total = 176*100/55 = 16*100/5 = 16*20 = 320 Rs.

Answer 2

Question:

After spending 45% of good money, a boy had Rs. 176 left with him. how much money did he have initially?

Answer:

• He had $\sf{{\color{red} {Rs. 320 }}}$ initially.

To Find:

• Total money he had initially with him

Solution:

• Let the money that the boy had initially with him be x.

$\: \: \: \: \: \: \sf{\therefore \: 45\% \: of \: x = \frac{45}{100 }\times x = \frac{9x}{20} }$

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Since, the boy spent 45% of his money and has Rs. 176 left with him.

$\: \: \: \: \: \: \sf{ \therefore \: x - \frac{9x}{20} = 176 }$

$\nrightarrow \: \: \: \sf {\frac{20x - 9x}{20} = 176}$

$\nrightarrow \: \: \: \sf {\frac{11x}{20} = 176}$

$\nrightarrow \: \: \: \sf { x = \frac{176 \times 20}{11} }$

$\nrightarrow \: \: \: \sf { x = 16 \times 20 =Rs.320}$

Therefore, the boy had initially Rs. 320 with him.