11. किसी धन का 3 वर्ष का 10% वार्षिक दर से साधारण ब्याज और
चकवृध्दि ब्याज का अन्तर 31 रू है , तो धन होगा-
(A)3,000रू
(B)1,000रू
(C)3,100रू
(D)None
Answers
Step-by-step explanation:
Explanation:
sebaceous glands are holocrine glands that produce sebum, a semiliquid mixture of glandular cell debris containing glycerides, free fatty acids, wax esters, squalene, cholesterol, and cholesterol esters.
Sebaceous glands are present everywhere on the human skin except for the palms, soles, and dorsa of the feet.
Generally, they are associated with hair follicles and empty through a short duct
into the canal of the hair follicle.1 The sebaceous glands are holocrine glands that produce sebum,
a semiliquid mixture of glandular cell debris containing glycerides, free fatty acids, wax esters
, squalene, cholesterol, and cholesterol esters. The largest and most numerous sebaceous glands are found on the face, scalp, chest, and back.
____________________
Answer :
(B) 1,000 रू
Explanation :
माना की मूलधन - x
तो,
x का 3 वर्ष का 10% वार्षिक दर से साधारण ब्याज और चक्रवृद्धि ब्याज में ₹31 का अंतर है।
सूत्र -
साधारण ब्याज - (मूलधन × दर × समय)/100
→ (x × 10% × 3)/100
→ 30x/100
और,
चक्रवृद्धि ब्याज : [मूलधन(1 + दर/100)^समय] – मूलधन
→ x(1 + 10/100)³ - x
→ x(1 + 1/10)³ - x
→ x(11/10)³ - x
→ x(1331/1000) - x
→ 1331x/1000 - x
→ 331x/1000
प्रश्न के अनुसार,
→ चक्रवृद्धि ब्याज - साधारण ब्याज = ₹31
→ 331x/1000 - 30x/100 = 31
→ (331x - 300x)/1000 = 31
→ 31x/1000 = 31
→ x = 31*1000/31
→ x = 1,000
∴ मूलधन = ₹1,000