Question

33500/- Is distributed between pooja astha and riti pooja gets 70% of what astha get and astha gets 20% of what riti gets. 1) Find the sum that each of three get 2) What percent of poija's amount does astha get

Answer 1

Step-by-step explanation:

Amount to be distributed = ₹33500

Let the amount which Riti gets be ₹x.

Percentage of the amount Astha gets = 20% of x

Percentage of the amount Pooja gets=70% of 20% of x

So,

According to the question,

x + (70% of x) + {70% of (20% of x)} = 33500

=> x + (70/100 x) + (70/100 × 20/100 × x) = 33500

=> x + 7x/10 + (7/10 × 1/5 × x) = 33500

=> x + 7x/10 + 7x/50 = 33500

=> (50x + 35x + 7x)/50 = 33500

=> 92x/50 = 33500

=> x = 33500 × 50/92

=> x = ₹18206.5217

So,

i.) Riti gets = ₹x

= ₹18206.5217

Astha gets = 20% of ₹x

= 20/100 × ₹18206.5217

= ₹3641.30434

Pooja gets = 70% of (20% of x)

= 70/100 × 20/100 × ₹18206.5217

= ₹2548.91304

ii.) Percentage of Pooja's amount which Astha gets =

Astha' amount/Pooja's amount × 100%

= ₹3641.30434/₹2548.91304 × 100%

= 142.857143 %

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