- The ratio of Richa's salary to Padma's salary was 4:5. Then Richa got an increment of 5% and
Padma borrowed that increased amount from her at the rate of 8% simple interest yearly. If
Padma's salary is 40000 per month, find the amount that Padma will have to return to Richa
after 1 year.
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Answered by
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In a circle, ABCD is a cyclic quadrilateral ∠BCD = 100° and ∠ABD = 70°
∵ ABCD is a cyclic quadrilateral,
∴ ∠A + ∠C = 180° (Sum of opposite angles)
⇒ ∠A + 100°= 180°
∠A = 180°- 100° = 80°
Now in ∆ABD,
∠A + ∠ABD + ∠ADB = 180°
⇒ 80° + 70° + ∠ADB = 180°
⇒ 150° +∠ADB = 180°
∴ ∠ADB = 180°- 150° = 30°
Hence ∠ADB = 30°
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