To celebrate valentine day, Pranay started saving money daily from 1st February. He was saving Rs. 1

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14 Feb 2022 Arithmetic

To celebrate valentine day, Pranay started saving money daily from 1st February. He was saving Rs. 14 more than what he saved on previous day. On 14th February from the sum so accumulated, he spent 14% on flowers and Rs. 1400 of the remaining on gifts and Rs. 418 was still left with him. How much money did he saved on 1st February ?

OPtion

1) Rs. 88
2) Rs. 90
3) Rs. 76
4) Rs, 56
5) Rs. 52
6) Rs. 60
7) Rs. 72
8) Rs. 46
9) Rs. 50
10) None of these

Solution

Let he saved Rs 'x' on 1st Feb, so from 1st Feb to 14th Feb for 14 days, he saved x, (x+14), (x+28), (x+42), ......
Sum of 14 terms = 14x+1274
Money left after spending 14% on flowers & Rs. 1400 on gifts = (14x+1274)(1 - 0.14) - 1400 = 418
14(x+91)*0.86 = 1818
x+91 = 150.99
x = 59.99 ~ 60

Correct Option: 6 Best Solution (3)

G.S.Kantharao   2 years AGO

Let a is the initial amount
a=a,d =14,n=14
Sn=n{2a+(n-1)d}/2
=14{2a+(13*14)}/2
=7{2a+182)
=14a+1274=(14a+1274)*14%+1400+418
(14a+1274)=(14a+1274)*14%+1818
(14a+1274)*86%=1818
14a+1274=2114(approx)
14a=840
a=60
So my option is 6👈

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RAMADURAI NATESAN   2 years AGO

Let a be saving on 1st Feb. Toal saved
=14a + 14 ( 1+2+.....+13) = 14a + 1274. As per given infn.,
14a+1274 - .14(14a+1274) - 1400 = 418.
Solving , a = 60

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Varun   2 years AGO

a= initial day saving
d = difference between consecutive days
n = number of days saved
Sum of first n terms: Sn = n/2(2a+(n-1)d)
1400+418 = 100-14 % of 14th day's total saving
=> 2114 = 7(2a+13.14)
2114= 1274+14a
=> a=60

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