# Sunil earns 10% more than shailesh and shailesh earns 20% more than swami.if swami earns 3200 less than sunil,find the earnings of each.

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by Ahmedsyed

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by Ahmedsyed

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Swami's earning be x

shailesh earning=120x/100

sunil's earning=132x/100

(132x/100)-x=3200

132x-100x=320000

32x=320000

x=10000

__swami's earnings =10000__

__shailesh's earning=12000__

__sunil's earning=13200__

shailesh earning=120x/100

sunil's earning=132x/100

(132x/100)-x=3200

132x-100x=320000

32x=320000

x=10000

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let Swami`s earnings be Rs x

Then shailesh earns 20% more than swami

⇒ [(20/100)× x] + x

= [(1/5)× x] +x

= x/5 +x

= (x+5x)/5

= 6x/5

∴Shailesh earns Rs 6x/5

Now sunil earns 10% more than shailesh

⇒ [(10/100)× 6x/5] +6x/5

= [1/10× 6x/5] + 6x/5

= 6x/50 + 6x/5

= (6x+ 60x)/50

= 66x/50

∴Sunil earns Rs 66x/50

Given that swami earns 3200 less than sunil

⇒ sunil earning - swami earning = 3200

⇒ 66x/50 - x = 3200

⇒ (66x - 50x)/50 = 3200

⇒ 16x = 3200 ×50

⇒ 16x = 160000

⇒ x = 160000/16

∴ x = 10000

∴ Swami earns Rs x = Rs 10,000

Sailesh earns Rs 6x/5 = [6(10000)]/5 = 60000/5 = Rs12000

Sunil earns Rs 66x/50 = 660000/50 = Rs 13200

Then shailesh earns 20% more than swami

⇒ [(20/100)× x] + x

= [(1/5)× x] +x

= x/5 +x

= (x+5x)/5

= 6x/5

∴Shailesh earns Rs 6x/5

Now sunil earns 10% more than shailesh

⇒ [(10/100)× 6x/5] +6x/5

= [1/10× 6x/5] + 6x/5

= 6x/50 + 6x/5

= (6x+ 60x)/50

= 66x/50

∴Sunil earns Rs 66x/50

Given that swami earns 3200 less than sunil

⇒ sunil earning - swami earning = 3200

⇒ 66x/50 - x = 3200

⇒ (66x - 50x)/50 = 3200

⇒ 16x = 3200 ×50

⇒ 16x = 160000

⇒ x = 160000/16

∴ x = 10000

∴ Swami earns Rs x = Rs 10,000

Sailesh earns Rs 6x/5 = [6(10000)]/5 = 60000/5 = Rs12000

Sunil earns Rs 66x/50 = 660000/50 = Rs 13200