1) ratan bought 10 dozen oranges at rs. 40 a dozen. he sold half of them at rs. 5 per orange. by now 6 oranges had rotted. he sells the remaining at rs. 3 each. find the loss or gain% 2) what principle will amount to rs.900 in 6 years at 10% simple interest?

Asked by omsingh | 13th Jul, 2015, 09:00: PM

Expert Answer:

1. R a tan space b o u g h t space 10 space d o z e n space o r a n g e s space a t space R s.40 space p e r space d o z e n. therefore C o s t space p r i c e space f o r space R a tan equals R s.40 cross times 10 equals R s.400 H e space s o l d space h a l f space o f space t h e space l o t space f o r space R s.5 space p e r space o r a n g e. therefore S e l l i n g space p r i c e space o f space 5 space d o z e n space o r a n g e s equals 5 cross times 12 cross times R s.5 equals R s.300 S i x space o r a n g e s space h a d space r o t t e d space a l r e a d y. S e l l i n g space p r i c e space o f space t h e space r e m a i n i n g space 4 space d o z e n space o r a n g e s space a t space t h e space r a t e space o f space R s.3 equals 4 cross times 12 cross times R s.3 equals 144 T h u s space S e l l i n g space p r i c e space o f space t h e space t o t a l space l o t equals R s.300 plus R s.144 equals R s.444 S i n c e space s e l l i n g space p r i c e space i s space g r e a t e r space t h a n space cos t space p r i c e comma space R a tan space g o t space p r o f i t. G a i n space o r space P r o f i t equals S e l l i n g space p r i c e minus C o s t space p r i c e equals R s.444 minus R s.400 equals R s.44 G a i n space o r space P r o f i t space p e r c e n t equals fraction numerator G a i n space o r space p r o f i t over denominator C o s t space P r i c e end fraction cross times 100 % equals 44 over 400 cross times 100 % equals 11 % 2. G i v e n space t h a t space a m o u n t comma space A equals R s.900 T i m e comma space n equals 6 space y e a r s R a t e space o f space i n t e r e s t comma space R equals 10 % W e space n e e d space t o space f i n d space t h e space p r i n c i p a l. L e t space R s.100 space b e space t h e space p r i n c i p a l. T h e r e f o r e comma space S i m p l e space I n t e r e s t space f o r space 6 space y e a r s space a t space t h e space r a t e space o f space 10 % equals fraction numerator P cross times n cross times R over denominator 100 end fraction equals fraction numerator 100 cross times 6 cross times 10 over denominator 100 end fraction equals R s.60 T o t a l space a m o u n t equals P r i n c i p a l plus I n t e r e s t T h u s comma space t o t a l space a m o u n t equals R s.100 plus R s.60 equals R s.160 I f space R s.160 space i s space t h e space t o t a l space a m o u n t comma space t h e n space p r i n c i p a l space i s space R s.100 I f space R s.900 space i s space t h e space t o t a l space a m o u n t comma space t h e n space p r i n c i p a l equals 100 over 160 cross times 900 equals R s.562.5 T h u s comma space t h e space p r i n c i p a l space m o n e y equals R s.562.5

Answered by Vimala Ramamurthy | 15th Jul, 2015, 08:51: AM

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