Question

A man lost 45% of his gems and still has 198 gems left. How many gems did he originally have?​

Answer 1

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Answer:

x=320

Step-by-step explanation:

let the boy have Rs x initially

x - 45% of x = 176

(100-45)x=176×100

55x = 17600

x=1600/5

x=320

Answer 2

Let us consider originally the man has G number of gems.

He has lost 45% of total number of gems,

that means = 45% of G

After 45% lost still he has 198 gems with him.

∴( G - 45% of G ) = 198 ( according to the question )

( 100 G - 45 G)  / 100= 198

∴$\frac{55G }{100}$ = 198

55G = 198 × 100

G =( 198 × 100) ÷ 55

G = 19800 ÷ 55

G= $\frac{19800}{55}$ = $360$

∴ Originally the man had 360 gems.

Ans :- The man had total 360 gems.