Question

17. Ashesh gave 65% of the amount he had to
Suman. Suman gave 2/5 of what he received
from Ashesh to Jyoti. After paying Rs. 320 to
the taxi driver out of the amount he gets from
Suman, Jyoti is now left with Rs. 1500. How
much amount did Ashesh have?​

Answer 1

Jyoti —> ₹ 1500
Let x be the amount Ashesh gave to Suman.
2/5 * x = 1500
x = (1500 * 5) / 2
x = ₹ 3750
Let y be the amount Ashesh had.
65/100 * y = 3750
y = (3750 * 100) / 65
y = ₹ 5769.23
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Hope this helps you !!!

Answer 2

Ashesh had Rs. 7000.

Step-by-step explanation:

Step 1.

Let Ashesh had x in the beginning.

Step 2.

He gave 65% of the amount he had to Suman.

So, Suman received

= Rs. x * $\dfrac{65}{100}$

= Rs. $\dfrac{13x}{20}$

Step 3.

Suman gave $\dfrac{2}{5}$ of what he received from Ashesh to Jyoti.

So, Jyoti received

= Rs. $\dfrac{2}{5}$ * $\dfrac{13x}{20}$

= Rs. $\dfrac{13x}{50}$

Step 4.

Jyoti paid Rs. 320 to the taxi driver and she is left with Rs. 1500.

Then, $\dfrac{13x}{50}$ - 320 = 1500

⇒ $\dfrac{13x}{50}$ = 1500 + 320

⇒ $\dfrac{13x}{50}$ = 1820

⇒ 13x = 91000

⇒ x = $\dfrac{91000}{13}$

⇒ x = 7000

Thus Ashesh had Rs. 7000.

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