Question

45.
Initially Veer had 60% more love letters than that of Zara. In the last month the no. of love letters of Veer increased
by 25% and that of Zara decreased by 25%. Again in the present month the no. of love letters of Veer decreased to
60% and that of Zara increased by 60%. Then which of the following statements is correct regarding the present no.
of love letters:
(a) Veer has 40% more letters than that of Zara
(b) Zara has 20% less letters than that of Veer
(c) Veer and Zara have equal no of letters
(d) Zara has 37.5% less letters than that of Veer.
mahof​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Initially Veer had 60% more love letters than that of Zara. In the last month the no. of love letters of Veer increased. by 25% and that of Zara decreased by 25%. Again in the present month the no. of love letters of Veer decreased to 60% and that of Zara increased by 60%. Then which of the following statements is correct regarding the present no. of love letters:

(a) Veer has 40% more letters than that of Zara

(b) Zara has 20% less letters than that of Veer

(c) Veer and Zara have equal no of letters

(d) Zara has 37.5% less letters than that of Veer

EVALUATION

Let initially the number of love letters of Zara = 100

Here it is given that Initially Veer had 60% more love letters than that of Zara

So initially the number of love letters of Veer = 160

Now in the last month the no. of love letters of Veer increased by 25% and that of Zara decreased by 25%

So in that month

Number of Love letters of Zara

$\displaystyle \sf{ = 100 \times \frac{75}{100} }$

$= 75$

Number of Love letters of Veer

$\displaystyle \sf{ = 160 \times \frac{125}{100} }$

$= 200$

Again in the present month the no. of love letters of Veer decreased to 60% and that of Zara increased by 60%.

So Number of love letters of Zara

$\displaystyle \sf{ = 75 \times \frac{160}{100} }$

$= 120$

Number of love letters of Veer

$\displaystyle \sf{ = 200 \times \frac{60}{100} }$

$= 120$

Hence Veer and Zara have equal no of letters

FINAL ANSWER

The correct option is

(c) Veer and Zara have equal no of letters

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